Step-by-step explanation:
Need to FinD :We have to find the measures of other two angles of triangle.[tex] \red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}[/tex]
We know that,
The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.Angle sum property,
The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.[tex]\rule{200}{3}[/tex]
[tex] \sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}} [/tex]
∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.
[tex]\rule{200}{3}[/tex]
Second AnglE :
3x3 × 1030°∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.
[tex]\rule{200}{3}[/tex]
Third AnglE :
14x 14 × 10140°∴ Hence, the measure of the third angle of the triangle is 140°.
Point P partitions directed line segment AB in the ratio of 3 to 4. If A(-9, -9) and B(5,-2), find the coordinates of point P.
(-2,-4)
(11, 1)
(-1, - 5)
(-3, -6)
Answer:
(-3, -6)
Step-by-step explanation:
The coordinate of point P is, (- 3, - 6)
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We have to given that;
Point P partitions directed line segment AB in the ratio of 3 to 4.
And, A (-9, -9) and B (5,-2).
Now, The coordinate of Point P is find as;
⇒ P (x, y) = (3×5 + 4×- 9/ (3+ 4) , 3×-2 + 4×- 9 / (3 + 4) )
= (15 - 36/7 , - 6 - 36/7)
= (- 21/7, - 42/7)
= (- 3, - 6)
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If the price of a yo-yo in a shop increased by 20% and is now $18.00, what was the original price?
So $18 would be 120%. This is because the yoyo is 100% and you increased by 20%. If this was a calculator question, you would do 18 / 120 than times by 100 to get 100%. Naturally it would just be 18/12 x 10 = 15. so $15 is 100% or the originally price.
Hope it helped :)
The original price was $15.00
The price of the yo-yo increased by 20% and went to $18.00. Assuming the original price is x, the original price would be:
18 = x × (1 + 20%)
18 = x × 1.20
18 = 1.20x
x = 18 / 1.20
x = $15.00
In conclusion, the original price was $15.00 but after the price increased by 20%, it went to $18.00.
Find out more at https://brainly.com/question/5190712.
What are the units of measure for volume? Square units Cubic units
Answer:
Step-by-step explanation:
i think it is mostly milliliters (ml) and liters (l) but i think sometimes cubic meter (m³) is used.
Look at the function f(x) = −x + 5. Which of the following describes the domain and range of the function and its inverse?
Answer:
the first
0 5
5 0
Step-by-step explanation:
the question should be : "which describes a POSSIBLE domain and range definition of the function and is inverse ?"
because this is just a matter of definition. the function itself would not suggest any limits.
and in that regard the function definition is basically irrelevant.
the domain of any basic function is the range of the inverse, and the range of the basic function is the domain of the inverse.
so, the second set of definitions is not possible, if we are really trying to define the inverse function.
A child learns new words very quickly, but their vocabulary grows slower as they grow up. There is no upper-limit to the size of a person's vocabulary, so a logarithmic growth model is reasonable. The number of words can be related to the child's age (in months) according to the following formula: W(m)=10,000 ⋅ log(m) − 13,000
where m is the number of months in a person's age.
How many vocabulary words would a person have after 20 years (240 months) ?
A. 10.3
B. 10,802
C. 21.1
D. 13,000
Answer:
I think it's A I hope I'm right, Sorry if I'm wrong. :)
Step-by-step explanation:
please answer this question
Answer:
r = 1.7389 in
Step-by-step explanation:
(A) Volume of hollow block = 540 in^3
(B) volume of block without Hollows = b×d×h
= 6 ×16 ×8
= 768 in^3
(C) volume of 3 hollows = 3 ×( pi ×r^2 h)
= 3 ×( pi ×r^2 ×8)
= 24 ×pi ×r^2
solve,
A = B - C
540 = 768- (24 ×pi ×r^2)
r^2 = (768- 540) / 24 pi
r = root(3.023943919)
r = 1.7389 in
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
48 Ft
Step-by-step explanation:
If the base is a square than you figure out what number multiplied by itself is equal to 144 and since a square has 4 side you do 12x4 which equals 48. P.S. 12x12 is 144!
Hope that helped!
The entire ice mass of the earth occupies a volume of approximately 30 million km^3. It has been estimated that
sea level would rise by about 80 meters if all this ice melted.]
If this mass were deposited upon the entire surface of the Earth, how thick would the ice layer be? Expre
your answer in meters and feet. (1 km = 1000 m; 1 m = 3.28 ft).
If the ice mass were deposited on the total Earth's surface, it would be 58.82 meters or 192.92 feet.
How to find out the answer?The formula that can be used is:
The total volume of the ice / total surface = thickness of the layer.30 million cubic kilometers / 510 million squared kilometers = 0.5882 kilometers or 58.82 meters.How to convert meters to feet?To convert meters to feet multiply the result by 3.28.
58.82 m x 3.28 = 192.92 feet.Learn more about feet in: https://brainly.com/question/15838370
what is the probability and odd for 7/16
Step-by-step explanation:
7,9,11,13,15,
( 7+ 16) + 5/23
24/ 28
I NEED HELP! 1ST GETS BRAINILIEST!
a certain type of water bottle holds 3/5 liter of liquid. how many of these bottles could be filled from 9/10 of a liter of juice?
Answer:
The answer should be 1.5 I think if I did my math right
Step-by-step explanation:
The mailing tube shown below is 36 inches long, 6 inches wide, and 5.2 inches deep.
The bases are equilateral triangles. How much cardboard is used to make the tube?
The amount of cardboard = Surface area of a triangular prism = 679.2 in.²
What is the Surface Area of a Triangular Prism?Surface area of a triangular prism = (perimeter of base × length of the prism) + (2 × Base Area)
= (S1 +S2 + S3)L + bh
The mailing tube is a triangular prism with an equilateral triangular base, and has the following given values:
s1 = 6 in.s2 = 6 in.s3 = 6 in.L = 36 in.b = 6 in.h = 5.2 in.Plug the values into the surface area formula to find the amount of cardboard that would be used to make the tube:
Amount of cardboard = Surface area of a triangular prism = (6 + 6 + 6)36 + (6)(5.2) = 679.2 in.²
Learn more about surface area of triangular prism on:
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HELP DUE LATER TODAY:The temperature outside dropped 13°F in 6 hours. The final temperature was -4°F. What
was the starting temperature?
Answer:the answer is 9
Step-by-step
If you subtract 13 by 4 it’s 9
Complete the statement with <, >, or =.
Answer:
<
Step-by-step explanation:
If they were positive it would be square root of 50 but its a larger negative njmber
0,1,1,12,2,2,3,3,4,5,10 find the mean and the standard deviation for each data set
Answer:
Step-by-step explanation:
Doesn't give the correct set of numbers im sorry I can't help you :(
An angle measures 132.6 more than the measure of a supplementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
If the angle measures x, then the supplement measures 180-x.
This means x-132.6=180-x, and thus x=156.3
This means the angles measure 156.3 and 23.7 degrees.
B C A The following two-column proof with missing statement proves that the diagonals of the rectangle bisect each other Statement Reason ABCD is a rectangle Given AB and CD are parallel Definition of a Parallelogram AD and BC are parallel Definition ofa Parallelogram 2CADLACB Alternate interior angles theorem Definition of a Parallelogram Alternate interior angles theorem Angle-Side-Angle (ASA) Postulate CPCTC ADB 2CBD AADE ACBE BE DE AE CE CPCTC AC bisects BD Definition of a bisector Which statement can be used to fill in the blank space? (S points) Oa AB CD Ob BE AE BE CE Od BCAD
Answer: Given : A rectangle A B CD
To Prove: Diagonals of the rectangle bisect each other
Proof:
1. ABCD is a rectangle.
→AB ║CD→ Definition of a Parallelogram
→AD║BC→ Definition of a Parallelogram
⇒∠CAD ≅ ∠ACB →→[Alternate interior angles theorem]
⇒Line segment BC ≅ Line segment DA→→Definition of a Parallelogram
In Δ A DE and Δ C BE
AD=BC⇒Proved above
∠CAD=∠ACB ⇒Alternate interior angles theorem
∠ADB=∠CBE ⇒Alternate interior angles theorem
→→Δ A DE ≅ Δ C BE⇒Angle-Side-Angle (A S A) Postulate
BE=DE→→[C P CT ]
A E=CE→→[C P CT ]
⇒Line segment AC bisects Line segment B D⇒Definition of a bisector
Blank Space : Option A⇒∠ADB ≅ ∠CBD
Solve for x: -2x - 5 = 4
Answer:
x=−20
Step-by-step explanation:
Step by Step Solution:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x/5-(-4)=0
Step by step solution :
STEP
1
:
x
Simplify —
5
Equation at the end of step
1
:
x
— - -4 = 0
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
-4 -4 • 5
-4 = —— = ——————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x - (-4 • 5) x + 20
———————————— = ——————
5 5
Equation at the end of step
2
:
x + 20
—————— = 0
5
STEP
3
:
When a fraction equals zero
3.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
x+20
———— • 5 = 0 • 5
5
Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x+20 = 0
Solving a Single Variable Equation:
3.2 Solve : x+20 = 0
Subtract 20 from both sides of the equation :
x = -20
One solution was found :
x = -20
Answer:
x=-4.5 or -9/2
Step-by-step explanation:
The first step is to isolate x to do this you add 5 to both sides which then gives you -2x=9 the next step is to divide by negative 2 which would give you -9/2 which simplifies to -4.5.
The Wares want to buy a new computer. The regular price is $1049.the store is offering 20% discount and a sales tax of 5.25% is added after the discount .what is the total cost?
Answer:
$883.26
Step-by-step explanation:
Multiply the regular price ($1,049) by the Percent Discount (20%). To do this, multiply 1,049 by 0.2 :
1,049(0.2)=$209.8
After multiplying, you get the amount taken off by the discount. So you subtract the amount you got ($209.8) from the original amount ($1049) :
$1049-$209.8=$839.2
Now that you've calculated the discount price, you can calculate the sales tax. Make sure you do this part second, because it says to do so in the problem.
To calculate the sales tax, you do the same as above. Multiply your NEW cost ($839.2) by the sales tax (5.25%). The equation is:
$839.2(5.25%)=$44.058
Round $44.058 to $44.06. Since this is a Sales Tax, you add this on to your previous amount of $839.2
$839.2+$44.06=$883.26
The final cost of the computer is $883.26
1
The data given below show the number of overtime hours worked in one week per employee. Use the data to complete parts (a) and (b).
Overtime hours
0
2 3 4 5 6
Employees
8 10 33 53 43 25 19
(a) Construct a probability distribution
(b) Graph the probability distribution using a histogram and describe its shape.
(a) Construct the probability distribution by completing the table below.
1
2
3
4
5
6
P(x)
1
(Round to three decimal places as needed.)
Answer:
Explained below.
Step-by-step explanation:
The data provided is for the number of overtime hours worked in one week per employee.
(a)
The probability distribution is as follows:
X Frequency P(X)
0 8 0.042
1 10 0.052
2 33 0.173
3 53 0.277
4 43 0.225
5 25 0.131
6 19 0.099
191 1.000
(b)
Construct the histogram in Excel.
The histogram is approximately symmetric as maximum data is collected in the middle.
can you please give me the correct answer
Answer:
none of these I think this is because I actually don't know I don't know because you know I'm first timer and I'm still on but choose actually wait no I'm not on virtuous I am almost call record sorry I forgot just bye
Prove triangle congruence.
Answer:
Step-by-step explanation:
The product of a number and seven is increased by 2 the result is 100 what is the number
Answer:
n=91
Step-by-step explanation:
(n×7)+2=100
n+9=100
-9 from both sides
n=91
(b) Employers at a firm are worried about the effect of March Madness, a basketball championship held each spring in the US, on employee productivity. They estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc. They also collect data on how much company time employees spend on such non-business activities during March Madness. They want to determine if these data provide convincing evidence that employee productivity changed during March Madness. In symbols, the hypotheses are:
Answer:
I need a question in order to answer not just a answer choice
Step-by-step explanation:
sorry
please explain omega ....??please gyus please answer to it ....?
[tex]\huge\bold\green{Answer:-}[/tex]
1. the twenty-fourth and final letter of the Greek alphabet (Ω, ω): in English transliteration, as in the etymologies of this dictionary, it is shown as ō
2. the last (of any series); end
When it comes to fat, there's one type you don't want to cut back on: omega-3 fatty acids. Two crucial ones -- EPA and DHA -- are primarily found in certain fish. ALA (alpha-linolenic acid), another omega-3 fatty acid, is found in plant sources such as nuts and seeds. Not only does your body need these fatty acids to function, but also they deliver some big health benefits.
I HOPE IT HELPS ♥️Help help help help
Answer:
x=1
y=-2
Step-by-step explanation:
I explained the answer to the question in the photo
What is the ratio of apples and bananas. Choose 1 answer
(A) 3:4
(B) 4:3
(C) 3:7
(D) 7:3
Write an expression for the perimeter of the triangle shown below:
(linked)
A: 10x − 9
B: 10x − 39
C: 5.5x − 9
D: 5.5x + 9
I don't normally ask questions so ill just give 100 points to who can answer this
Solution:
The perimeter of the triangle is basically the sum of its sides.
[tex]\rightarrow P = (0.3x + 24) + (5x) + (0.2x - 15)[/tex]
Open the parenthesis:
[tex]\rightarrow P = 0.3x + 24 + 5x + 0.2x - 15[/tex]
Combine like terms:
[tex]\rightarrow P = x(0.3 + 0.2 + 5) + (24 - 15)[/tex]
Simplify the equation:
[tex]\rightarrow P = x(5.5) + (9)[/tex]
Further simplify:
[tex]\rightarrow P = 5.5x + 9[/tex]
Option D is correct.
Perimeter=Sum of three sides
Perimeter:-
[tex]\\ \rm\Rrightarrow 0.3x+24+5x+0.2x-15[/tex]
[tex]\\ \rm\Rrightarrow 5.5x+24-15[/tex]
[tex]\\ \rm\Rrightarrow 5.5x+9[/tex]
Solve by elimination.
4x + 9y
28
- 4x - y = -28
0.(-7,0)
(6,0)
O (7,0)
O (-6,0)
Answer:
(7,0)
Step-by-step explanation:
By Multiplying 4 and 7 (aka x), it will equal 28.
Multiplying 9 and y, (aka 0) , it will equal to 0
4(7)+9(0)=28
multiplying -4 by 7 will equal to -28 ,minus y which is 0, total will be -28
3y - 15 = -21
What is y?
Answer:
y= -2
Step-by-step explanation:
3y -15 =-21
add 15 to both sides
-15+ 15 =0 , -21+ 15 = -6
so we have
3y= -6
isolate y by dividing by 3 to each side and get
y=-2
Have a great day!
what is 3=3 please help please
Answer:
that will be 1 because what 3 divided 3
Step-by-step explanation: