plz help me.
Triangle JKL is equilateral. All three interior angles have equal measures.
What is the measure of exterior angle 1?
30 degrees
60 degrees
120 degrees
130 degrees
Answers
Explanation: the angles of a triangle sum to 180 degrees, and all the angles in an equilateral triangle are the same so every angle in an equilateral triangle must equal 60 degrees.
[tex] {\underline {\boxed {\Large {\bf \gray { {120}^{\circ} } }}}} [/tex]
Given :
• In ∆ JKL , all the three interior angles have equal measures.
To calculate:• Measure of [tex] \angle [/tex] 1 ( Exterior angle )
Calculation:Here, we can solve this question in two ways.
By exterior angle property of ∆.By linear pair.______________________________
Let us calculate the measure of interior angles first.
→ Let the measure of each interior angle be x.
As all the interior angles of the triangle are equal,
[tex] \sf { \dashrightarrow {180}^{\circ} = {x}^{\circ} +{x}^{\circ}+{x}^{\circ} } [/tex]
[ By angle sum property of ∆ ]
[tex] \sf { \dashrightarrow {180}^{\circ} = {3x}^{\circ} } [/tex]
[tex] \sf { \dashrightarrow \dfrac{{180}^{\circ}}{3} = {x}^{\circ} } [/tex]
[tex] \sf\red { \dashrightarrow {60}^{\circ} = {x}^{\circ} } [/tex]
Therefore, measure of each interior angle of the triangle is 60°.
By exterior angle property of ∆ :As we know that,
Sum of two opposite interior angles of ∆ = Exterior angle[tex] \sf { \dashrightarrow \angle 1 = \angle K + \angle L} [/tex]
[tex] \sf { \dashrightarrow \angle 1 = {60}^{\circ} + {60}^{\circ} } [/tex]
[tex] \sf \green { \dashrightarrow \angle 1 = {120}^{\circ} } [/tex]
⇒ Hence, measure of angle 1 is 120°.
By linear pair:→ [tex]\angle [/tex] 1 + [tex]\angle [/tex] J = 180°
→ [tex]\angle [/tex] 1 + 60° = 180°
→ [tex]\angle [/tex] 1 = 180° - 60°
→[tex]\angle [/tex] 1 = 120°
⇒ Hence, measure of angle 1 is 120°.
Related Questions
Hi Brainly users! I have an 8th-grade math problem for you! Please see the screenshot! :)
Answers
Answer: Hello Im also in 8th grade I think the answer is B, because 3cm is already included with the 10cm so if you multiply 10 x 4, it is equal to 40.
Hope this helps.
Answer:
yeah B is the answer
you're correct
Jason plans to join a health club. The club charges $6.50 per week plus a $20 enrollment fee. If Jason has budgeted to spend no more than $250 this year on health club expenses, how many weeks will he be able to workout at the club?
A. 20w + 6.5 ≥ 250
B. 20 + 6.5w ≥ 250
C. 20w + 6.5 ≤ 250
D. 20 + 6.5w ≤ 250
Answers
then 230$ divide by 6.50$ per week
you get 35,38461538461538 weeks
or about 35 weeks
Write the following as ordered pairs.
y = 6x
4x + y = 7
y = 3x
x = -2y + 70
Answers
X= -2(3x) + 70
X= -6x + 70
+6x on both sides
7x=70
Divide both sides by 7
X=10
Y=30
3/4 x 1 = 3/4 x ?/? = 21/28
Answers
?/? = 7/7
SOME ONE ANSWER ASAP PLSSSsss
Answers
Answer:
im guessing the second one
Step-by-step explanation:
Can you guys please help me with this? I will give brainliest and 20 points if you help me.
Answers
Answer:
Step-by-step explanation:
1) a) equations: 3x+21 and 6x -60
b) value of x: 3x+ 21=6x-60 ( set them equal to each other because they are equal, then solve)
3x+21=6x-60
-3x=-81
x= 27
c) replace 27 in both equations to find the angle measure.
3(27)+21= 102
6(27)-60= 102
2) a) equations: 12x-18 and 8x+10
b) value of x: 12x-18=8x+10( set them equal to each other because they are equal, then solve)
12x-18=8x+10
4x=28
x= 7
c) replace 7 in both equations to find angle measure.
12(7) -18 = 66
8(7)+10= 66
angle measure: 66
3) a) equations: 7x+9 and 5x+3
b) value of x: to find value of x here, first know that the these two equations will add up to 180. So, set them up to be equal to 180.
7x+9+5x+3=180
Then solve.
12x+ 12=180
12x=168
x=14
c) angle measure: replace the 14 in the x of the two equations.
7(14) +9 = 107
5(14) +3= 73
add the two angle measure together to see if they add up to 180.
107 + 73 = 180 correct! :D
Mika wrote the table of points of ...
X Y
0 2
3 5
6 8
What explains whether or not Mika has described a proportional relationship.
Answers
Answer:
She described a proportional relationship because for each X value there is a Y value, So if X marks 1, you add 1 to Y, being the starting value of Y 2
For the table prepared by the Mike, he has "not" described a proportional relationship.
What is Proportionality?Equivalence between two ratios in algebra is called proportionality. A and B are in the same ratio as C and D in the formula a/b = c/d.
Step 1: Calculation for the slope of the points:Table prepared by Mike is,
X Y
0 2
3 5
6 8
The ratio of the y-to-x value differential between two locations, as seen on a two-dimensional plane.
[tex]\frac{5-2}{3-0} =\frac{8-5}{6-3} =\frac{8-2}{6-0} =1[/tex]
Since, the slope is the same, the relationship is linear.
Step 2: Check for proportional relationship.The function is said to be linear if we plot these points on a line and obtain a straight line. If this line passes through point (0,0), the connection will be proportional.
Equation of line passing through two points is obtained by,
=> y-b = m(x-a)
Consider point (0,2)
=> y-2 = 1×(x-0)
As, y = x+2, is equation of linear function.
Step 3: Checking whether the line passes through origin (0,0)LHS, at ,(0,0) = 0
RHS at (0,0 )= 0+2=2
LHS≠RHS
Therefore, even though the supplied points add up to a linear function, there is no proportional relationship.
To know more about, two dimensional figures, here
https://brainly.com/question/1211190
#SPJ2
You need 112 K-cups for a party. A box of K-cups costs $16 for 36 K-cups. What is the minimum amount of money you will spend?
Answers
Answer:
$49.60
Step-by-step explanation:
The equation setup I used for this was as follows: $16 x (112/36)
Using PEMDAS, you'd start with the division part, 112/36. Although, I did this a bit differently, and being a bit further in school, I don't know if you go through this where you're at.
Start by factoring 112 into 4(28). This leaves you with 4(28)/36.
Next, cancel 4 out of 36. Since 4 is the common factor in 28 and 36, you cancel the four out of the equation, leaving you with 28/9. Convert this to its decimal form, 3.1.
Finally, take the 3.1 and multiply that by $16, which comes out to $49.60.
Good Luck! I might give Brainliest.
Answers
Answer:
hours 1 and 2
Step-by-step explanation:
PLEASE GIVE BRAINLYIEST
can you please help me
Answers
Answer:
Quadrant 3
Hope that helps!
Answer:
Quadrant 3 :)
A family of two adults and three children is going to a water park. Admission is $32.85 for the water park. Admission is $35.85 for adults and $25.60 for children whats the total cost of the family's Admission.
State your answer. Plz :(
Answers
Answer:
$181.35
Step-by-step explanation:
Admission: $32.85
Adults: 35.85 x 2 = $71.70
Children: 25.60 x 3 = $76.80
Add it all together
$181.35
Can someone help me answer these 5 questions? the directions on what you do are in the questions. I will give brainliest as thanks for your help!
Answers
Step-by-step explanation:
question 1) equal angels
8+19)=(9x+9)
x=10°
8x+19=99°
question 2) equal angels
(3x-26)=2x
x=26°
3x-26= 52°
question 3) different angels
180-(x+10) = x+50
180-x-10=x+50
170-x=x+50
2x=120
x= 60°
x+10= 70°
x+50=120°
question 4) equal angels
3x-31=x+59
2x=90
x=45°
x+59=104°
question 5) equal angels
6x+3=7x-12
x=15°
6x+3=93°
help u get brainliesittttttt!!
Answers
Answer:
10:7, 10:5=2:1, 10:2=5,1
Step-by-step explanation:
Answer:
10:7 10:5 = 2:110:2 = 5.1Step-by-step explanation:
N/A
Sidenote: Sorry for the lack of explanation, I am in a rush . . . .
A squirrel can run at a maximum speed of 24 miles per hour. At this rate, how many seconds will it take the squirrel to run 12 miles?
Answers
Answer:
6 secs
Step-by-step explanation:
Answer:
The answer is 30 minutes which is 1800 seconds
Step-by-step explanation:
1800
Can someone help me with this question? x-4<5
Answers
Answer
x < 9
Step-by-step explanation:
term , will be moved to the right side.
Notice that a term changes sign when it 'moves' from one side of the inequality to the other.
I'LL GIVE BRAINLIEST
Answers
Answer:
B. Square
Step-by-step explanation:
Cross-section means the shape in the middle of the main given shape. Which is a square shape in this case. A square has four sides and each side is 90 degrees.
Here’s another! Offering a brainliest! JUST FOR FUN +10points
Answers
Answer:
Brainilist Lost all of mine you have26?
Step-by-step explanation:
Find the missing dimension. Use the scale factor 1 : 12.
diameter=21
Answers
Answer:
17.5 millimeters
Step-by-step explanation:
i think
(i like your pfp)
May has 5 cups of dough. It takes 1/3 cup of dough to make one dinner roll. How many dinner rolls can she make with the dough she has?
Answers
Answer:
15 Rolls.
Step-by-step explanation:
This problem is one that can be solved simply by dividing.
Take 5, and divide that by 1/3.
However, you can't just do this. The way I did it was by turning 5 into 5/1. Then, Multiply by the reciprocal, which would be 5 x 3, which equals 15.
Trevor is having trouble understanding how the degree of a nonzero constant is 0. Use the expression 3x^0 to help explain this concept to Trevor.
A. The degree of a monomial is the sum of the number of its variables. In the expression 3x^0, the value of the exponent is 0. Any number or variable raised to the power of 0 is 1. So, 3x^0 is equivalent to 3(1), or 3. Therefore, the degree of the nonzero constant 3 is 0.
B. The degree of a monomial is the coefficient of its variable. In the expression 3x^0, the value of the exponent is 0. Any number or variable raised to the power of 0 is 1. So, 3x^0 is equivalent to 3(1), or 3. Since the expression has no variables, the degree of the nonzero constant 3 is 0.
C. The degree of a monomial is always zero. Therefore, the degree of the nonzero constant 3 is 0.
D. The degree of a monomial is the sum of the exponents of its variables. In the expression 3x^0, the value of the exponent is 0. Any number or variable raised to the power of 0 is 1. So, 3x^0 is equivalent to 3(1), or 3. Therefore, the degree of the nonzero constant 3 is 0.
Answers
Answer:
The answer is B
Step-by-step explanation:
Explanation step by step:
There are approximately 40,000 people that live in a city. A sample of 20,000 people from that city are asked and 8,000 live in an apartment.
How many people from the entire population would you expect to live in an apartment?
Answers
Answer:
16,000 people
Step-by-step explanation:
Let's write a ratio
8,000:20,000
Let's write another ratio
x:40,000
We can write a percent proportion.
[tex]\frac{8,000}{20,000} =\frac{x}{40,000}[/tex]
We can see that the relationship between the denominators is multiplied by 2 so that means the relationship between 8,000 and x is x is 2 times greater than 8,000
Let me know if you have any questions.
Answer:
16000
Step-by-step explanation:
Could somebody help me with Geometry? THANKS!!!!!!!!!!!!!!!!!!!!!
*spam answers will NOT be tolerated*
Answers
I'll do problem 1 to get you started.
The answer to problem 1 is 3400 miles
============================================================
Explanation for problem 1:
We're asked to find the perimeter, which is the total distance around the exterior or outside. In other words, we need to add up the four side lengths of this quadrilateral.
We'll need the distance formula to find the lengths of the slanted sides AB and BC
----------------------------------------
Let's first find the length of segment AB
A = (x1,y1) = (0,0)
B = (x2,y2) = (400,300)
d = Length of AB
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-400)^2 + (0-300)^2}\\\\d = \sqrt{(-400)^2 + (-300)^2}\\\\d = \sqrt{160000 + 90000}\\\\d = \sqrt{250000}\\\\d = 500\\\\[/tex]
The distance from A to B is 500 miles. This is the same as saying segment AB is 500 miles long.
----------------------------------------
Now find the length of segment BC
B = (x1,y1) = (400,300)
C = (x2,y2) = (-800,800)
d = length of BC
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(400-(-800))^2 + (300-800)^2}\\\\d = \sqrt{(400+800)^2 + (300-800)^2}\\\\d = \sqrt{(1200)^2 + (-500)^2}\\\\d = \sqrt{1440000 + 250000}\\\\d = \sqrt{1690000}\\\\d = 1300\\\\[/tex]
----------------------------------------
The length of CD is fairly easy to find without needing the distance formula. This is because it is a vertical line. We subtract the y coordinates of C and D to get 800-0 = 800. So CD is 800 miles long.
Segment DA is a similar story. But we subtract the x coordinates. This only works for horizontal lines. DA is 800 miles long because |-800-0| = 800. Absolute value is used to make sure the distance is never negative.
----------------------------------------
To summarize everything so far, we found these four side lengths
AB = 500BC = 1300CD = 800DA = 800The perimeter is going to be the sum of those four sides, leading to...
perimeter = sum of sides
perimeter = AB+BC+CD+DA
perimeter = 500+1300+800+800
perimeter = 3400 miles
This is the total distance traveled if you started at city A, went to B, then to C, then to D, and then finally went back to A.
Answer:
The total distance is 3400 miles
Step-by-step explanation:
Given the following points:
A(0,0)
B(400,300)
C(−800,800)
D(−800,0)
we can find the distance between each of them using the following equation:
d(X,Y)=
√(x2
−x1
)2
+(y2
−y1
)
2
in this case, we only need to find the distance from A to B and from B to C:
d(A,B)=
√(400−0)2
+(300−0)2
=
√160000+90000
=
√250000
=500
d(B,C)=
√(−800−400)2
+(800−300)2
=
√1440000+250000
=
√1690000
=1300
next, notice that the distance from C to D and from D to A are on lines parallel to the x-axis and the y-axis, then, we can see that the distances are the follwing:
d(C,D)=800
d(D,A)=800
then, the total distance traveled will be the perimeter of the polygon, Thus, adding the distances we have:
P=d(A,B)+d(B,C)+d(C,D)+d(D,A)=500+1300+800+800
=3400
⇒P=3400miles
If line segment AB represents 25%, what is the length of a line segment that is only 100%? (PART 1)
Answers
Answer:
32 inches
Step-by-step explanation:
100 ÷ 25 = 4 so you multiply AB by 4
4 • 8 = 32 inches
What is the value of x? WILL MARK BRAINLIEST
Answers
24^2 + 7^2 = x^2
576 + 49 = x^2
x^2 = 625
√x^2 = √625
x = 25
Match the vocabulary word with its definition. factor tree an approximate value close to the actual value estimation the smallest multiple that any given numbers have in the common least common denominator the amount of time that passes between the start of an event to the end of an event equivalent fractions the line between the numerator and the denominator of a fraction bar a number that shows part of a whole factor the least common multiple of two or more denominators elapsed time a fraction in which the numerator is larger than or equal to the denominator denominator the largest factor that any given numbers have in common least common multiple a number that divides evenly into another number improper fraction fractions with the same numerical value; fractions that are equal to each other fraction an organized way of finding the prime factorization of a number greatest common factor the number under the fraction line; tells how many equal parts the whole was broken into
Answers
Answer:
Step-by-step explanation:
Composite number
a whole number that has factors other than just 1 and itself
Divisible
able to be divided by a given whole number without a remainder
Factor
a whole number that divides into another number without a remainder
Factor tree
a tree-like structure that uses branches to show the factors of a number
Multiple
the product of a given number and another whole number
Prime factorization
an expression that shows a number expressed as a product of prime numbers
prime number
a whole number that has only two factors, 1 and itself
product
the answer to a multiplication problem
GCF
greatest common factor of a set of numbers
2 times what equals 10.3?
Answers
Answer:
5.15
Step-by-step explanation:
2 times what equals 10.3
To solve this problem, turn this into an equation and substitute the missing value for x.
2x=10.3Then, divide each side by 2 to isolate x.
x=10.3/2Solve.
x=5.15How much will Jason earn, if he invests $8,000 at 7.5% interest rate for 18 months? How much will be in the account at the end of the 18 months?
Answers
Answer:
$8,900
Step-by-step explanation:
You don't say anything about compounding. If this problem involves only simple interest, then the interest will be i = p*r*t and the account balance will be i + p.
Here i = $8,000*0.075*1.5 (representing 18 months)
i + $900
At the end of 18 months there will be $8,000 + $900, or $8,900, in the account.
Answer:
$8,900
Step-by-step explanation:
Gina's number is 2 more than Sara's. The sum of their numbers is 68. What are they're numbers?
Answers
382 3/10 - 191 87/100= ?
594 7/25 + 89 37/100= ?
Answers
2. 683 13/20
I think hope it right
HELPS MEH PLZ + 20
its not hard to help me
Answers
Answer:
Onions- $1.20
Potatoes- $1.44
Step-by-step explanation:
.32p+.48n=
.32(4.5)+.48(2.5)=
1.44+1.2=264
1 pound of onions = $0.48
(POTATOES)
4 pounds of potatoes = 0.32 x 4 (= 1.28)
0.5 pounds of potatoes = 0.32 / 2 (= 0.16)
1.28 + 0.16 = 1.44
4.5 Pound Of Potatoes = $1.44
(ONIONS)
2 pounds of onions = 0.48 x 2 (= 0.96)
0.5 pounds of onions = 0.48 / 2 (= 0.24)
0.96 + 0.24 = 1.2 = 1.20
CONCLUSION
4.5 pounds of potatoes is $1.44, and 2.5 pounds of onions is $1.20
I hope this helps!! (つ ◕◡◕ )つ