En la figura, la suma de las medidas p + q + r + s =/In the figure, the sum of the measures p + q + r + s =
And if someone know the explanation please write it
Answers
Answer:
I think its 300
Step-by-step explanation
This is from my understanding, so I may be a bit wrong.
1. First observe the amount of triangles that form, you have two main triangles and one isosceles triangle that forms in the middle by how these are joined together.
2. Using this idea we will come up with the equations of each triangle that has been formed.
3. We can observe that almost all angles are named with a variable except the one in the middle, being an isosceles we will name the missing variable y.
4. Triangle 1(left side) or T1 equals 180 degrees but what angles form this triangle, these would be p+q+y = 180, T2(right side) = r+s+y = 180
5. After creating these two triangles we notice that we have not taken into account the triangle in the middle, we are given 1 angle of this isosceles. There is a mathematical property which I don't remember the name, but essentially the angle below is the same as the angle above, this being 120 degrees. This will result in T3 = 2y + 120 = 180
6. Solve for y, which gives us y=30, *simple triangle math you know*
7. Finally we fix our equations for p+q+r+s, essentially T1 and T2 will transform into p+q = 180-y and r+s = 180-y, we add them up forming p+q+r+s = 2(180-y)
8. Solve the equation p+q+r+s = 360 - 2y which when adding y becomes p+q+r+s = 360-60 = 300
Notes: when doing these exercises it is important to take into account every triangle, the isosceles triangle is very vital for solving it, as it gives us a way for making an equation that is single handedly dependent on y a constant we can find and use. A good approach for these issues would be writing every piece of information as separate sets and then trying to join them using algebra.
Related Questions
Combine like terms
9w-w =
Answers
Help, please! ( Thank You! ). Very important!!!
Answers
Answer:
Outlier a Magee decree
Step-by-step explanation:
Jacob is going on a road trip across the country . He covers 10 miles in 15 minutes . He spends 10 minutes buying gas and some snacks at a gas station. He then continues on his road trip describe the distance traveled between 10 minutes and 15 minutes
Answers
Answer: 3.33miles
Step-by-step explanation:
given data:
distance covered in first 15 minutes = 10 miles
time spent buying gas and some snacks = 10mins.
= 10/15 * (15 –10 )
= 3.33miles
jacob has traveled 3.3miles between 10 and 15 minutes.
Answer:
3.33 miles!
Step-by-step explanation:
2 pts
Question 4
Find the value of each expression. Round decimals to the nearest hundredth if
necessary.
7+8x8-4
5-3(7-5)
Answers
Answer:
67 and -1
Step-by-step explanation:
You always multiply first so its 7+64-4 and that becomes 67
You have to distribute first so the problem would be 5-21+15 which is -1
Susan drove 50 miles on her trip before Rick began his drive. Susan drives at a rate of 30 miles per hour and Rick drives at a rate of 45 miles per hour. Write an equation to represent the situation where Susan and Rick will have driven the same miles.
Answers
Answer:
50 + 30x = 45x
Step-by-step explanation:
We are told that Susan drove 50 miles before Rick started his journey.
We are told that Susan drives at 30 miles/hr
Which means total distance by Susan for x number of hours is;
50 + 30x miles
Total distance driven by Rick for x number of hours = 45x
For Rick and Susan to be at the same point, their distance covered must be the same.
Thus;
50 + 30x = 45x
45x - 30x = 50
15x = 50
x = 50/15
x = 3.333 hours
Thus, the equation where Rick and Susan would have driven the same number of miles is;
50 + 30x = 45x
plz answer 12 points
Answers
Answer:
6+3^3
Step-by-step explanation:
6 plus 3 cubed
which is 6+3^3
Order the numbers from least to greatest. -6.6, 5.8, 6 3/4, 4.45 Explain your steps I’ll give brainliest
Answers
Answer:-6.6, 4.45, 5.8, 6 3/4
Step-by-step explanation:
How do you find the endpoint?
Answers
Answer:
Step-by-step explanation:
The fastest way to find the missing endpoint is to determine the distance from the known endpoint to the midpoint and then performing the same transformation on the midpoint. In this case, the x-coordinate moves from 4 to 2, or down by 2, so the new x-coordinate must be 2-2 = 0.
Select all the zeros of the function f(x)=(x+10)(x−5)(x+1).
CHOICES - SELECT ALL THAT APPLY:
-10
-5
-1
0
1
5
10
SHOW YOUR WORK
Answers
Answer:
-10, -1, 5
Step-by-step explanation:
The zeroes of the function are -
x = -10, 5, -1
We have the following function -
f(x) = (x + 10)(x − 5)(x + 1)
We have to determine its zeroes.
Find the Zeroes of thee function -f(x) = (x + a)(x + b)In order to find the zeroes of the function, equate f(x) = 0.
(x + a)(x + b) = 0
(x + a) = 0 or (x + b) = 0
x = - a or x = -b
Zeroes = -a , -b
According to question, we have -
f(x) = (x + 10)(x − 5)(x + 1)
Equate f(x) = 0
(x + 10)(x - 5)(x + 1) = 0
(x + 10) = 0 or (x - 5) = 0 or (x + 1) = 0
x = -10 x = 5 x = -1
Hence, the zeroes of the function are -
x = -10, 5, -1
To solve more questions on Zeroes of function, visit the link below -
https://brainly.com/question/12492261
#SPJ6
Complete the explanation of why it is possible to draw more than two different rectangles with an area of 100 square units, but it is not possible to draw more than two rectangles with an area of 15 square units. The lengths of the sides of the rectangle are whole numbers. 100 has factor pairs, so that many different rectangles can be drawn. 15 only has factor pairs, so only that many different rectangles can be drawn.
Answers
Answer:
100 has 5 factor pairs, so that many different rectangles can be drawn. 15 only has 2 factor pairs, so only that many different rectangles can be drawn.
Explanation:
there are 5 pairs of whole numbers that multiplied together will be 100:
100 x 1 = 10050 x 2 = 10025 x 4 = 10020 x 5 = 100 10 x 10 = 100while there are only 2 pairs of whole numbers that multiplied together will be 15:
15 x 1 = 153 x 5 = 15A 2000-gallon metal tank to store hazardous materials was bought 15 years ago at cost of $100,000. What will a 5,000-gallon tank cost today if the power–sizing exponent is 0.57 and the construction cost index for such facilities has increased from 180 to 600 over the last 15 years? Choose the closest value.
Answers
Answer:
The value is [tex]P_o = \$ 561958.9 [/tex]
Step-by-step explanation:
From the question we are told that
The capacity of the metal tank is [tex]C = 2000 \ gallon[/tex]
The duration usage is [tex]t = 15\ years \ ago[/tex]
The cost of 2000-gallon tank 15 years ago is [tex]P = \$100,000[/tex]
The capacity of the second tank considered is [tex]C_1 = 5,000[/tex]
The power sizing exponent is [tex]e = 0.57[/tex]
The initial construction cost index is [tex]u_1 = 180[/tex]
The new construction after 15 years cost index is [tex]u_2 =600[/tex]
Equation for the power sizing exponent is mathematically represented as
[tex]\frac{P_n}{P} = [\frac{C_1}{C} ]^{e}[/tex]
=> Here [tex]P_n[/tex] is the cost of 5,000-gallon tank as at 15 years ago
So
[tex]P_n = [\frac{5000}{2000} ] ^{0.57} * 100000[/tex]
[tex]P_n = \$168587.7[/tex]
Equation for the cost index exponent is mathematically represented as
[tex]\frac{P_o}{P_n} = \frac{u_2}{u_1}[/tex]
Here[tex]P_o[/tex] is the cost of 5,000-gallon tank today
So
[tex]\frac{P_o}{168587.7} = \frac{600}{180}[/tex]
=> [tex]P_o = \frac{600}{180} * 168587.7[/tex]
=> [tex]P_o = \$ 561958.9 [/tex]
What is the measure of
Answers
Answer:
measure of whaaaaaaaaaaaaaaaaaaaa tttttt?
If CDEF ≅ KLMN, what are the congruent corresponding parts? A. Sides: CD¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯,DE¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯,EF¯¯¯¯¯¯≅KL¯¯¯¯¯¯,CF¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯;Angles: ∠C≅∠N,∠D≅∠M,∠E≅∠K,∠F≅∠L B. Sides: CD¯¯¯¯¯¯≅KL¯¯¯¯¯¯,DE¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯,EF¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯,CF¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯;Angles: ∠C≅∠K,∠D≅∠L,∠E≅∠M,∠F≅∠N C. Side: CD¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯,DE¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯,EF¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯,CF¯¯¯¯¯¯≅KL¯¯¯¯¯¯;Angles: ∠C≅∠L,∠D≅∠K,∠E≅∠N,∠F≅∠M D. Sides: CD¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯,DE¯¯¯¯¯¯≅KL¯¯¯¯¯¯,EF¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯,CF¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯;Angles: ∠C≅∠M,∠D≅∠N,∠E≅∠L,∠F≅∠K
Answers
find the value of:
Answers
Answer:
the value is 6
Step-by-step explanation:
substitue
Pleasssssse help meeeeee
Answers
Answer: [tex]x \geq 3[/tex]
The graph has a closed circle pointing to the right
use the slope formula (m=y2-y1/x2-x1) to find the slope of a line given two points. (1, 6) and (-3,0) (7,2) and (0,-5) (-7,-3) and (-6,-4)
Answers
Answer:
See Below
Step-by-step explanation:
A) 3/2
B) 1
C) -1
Using the slope formula, and plugging-in values
We want to find the slopes of different lines, given that we know two points on each line.
We will get:
a) 3/2
b) 1
c) -1
Now let's see how to find the slopes.
We know that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Using that equation we can find the slopes for this problem.
a) (1, 6) and (-3,0)
The slope will be:
[tex]a = \frac{6 - 0}{1 - (-3)} = \frac{6}{4} = \frac{3}{2}[/tex]
b) (7,2) and (0,-5)
The slope will be:
[tex]a = \frac{2 - (-5)}{7 - 0} = 1[/tex]
c) (-7,-3) and (-6,-4)
The slope will be:
[tex]a = \frac{-3 - (-4)}{-7 - (-6)} = -1[/tex]
If you want to learn more, you can read:
https://brainly.com/question/16180119
If x° and 60° are vertically opposite angles , then x° = ?
Answers
Answer:
x° = 60
Step-by-step explanation:
Vertically opposite angles are congruent, thus
x° = 60
Answer:
It is x° = 60 (✿◠‿◠)
I need help with this from start to finish
Answers
Answer:
i think you need to find the squar rout and you can just do that with a caulator.
Step-by-step explanation:
How to find LCM by division method
Answers
look it dinometer of last two numbers at the down and cross multiple them by the lcm
multiplying a number by (−1) results in its (blank)
Answers
The answer is it’s inverse.
Multiplying a number by -1 changes the sign of the number, which is the inverse of the original number.
Answer:
Makes it negative
Step-by-step explanation:
example:5 multiplied by (-1) = -5
WORK OUT:
NO SILLY ANSWERS OR I WILL REPORT!
Answers
Answer:
1
Step-by-step explanation:
Any number raised to the power of 0 equals to 1
Step-by-step explanation:
Hey there!
Given;
[tex] {7}^{0} [/tex]
The answer would be one (1).
Reason: Anything to the power "0" is 1.
So, 7^0 is 1.
Hope it helps...
can you guys help me
Answers
Answer:
Step-by-step explanation:
X<2
10w +19 +3w = 6 (9 + w) -14 does it have no solutions or infinite solutions
Answers
Answer: w = 3
Step-by-step explanation: coz I juss know
write the sentence as an equation 253 is the product of 69 and g
Answers
Answer:
253=69g or 253=69(g)
Step-by-step explanation:
Alg I Trad Bench 1 Laurel MS 2020-2021 Section 1 8 of 308 of 30 Items Item 8 A taxi service charges a flat rate for the first 3 miles of service. For any additional mileage, the taxi service charges an additional rate per mile, x. The expression 10+2.50(x−3) represents the scenario.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
First 3 miles = flat rate
Subsequent miles = additional rate per mile x
Equation which represents the scenario :
10 + 2.50(x - 3)
If the amount charged by the taxi service for a certain trip is
10 + 2.50(x - 3)
Then. ;
10 = the flat rate charged for the first 3 seconds
2.50 = additional mile charge
x = total trip distance
Hence, (x - 3) = (total trip distance - first 3 miles) = additional miles traveled
HURRY PLS You are competing in a race. The table shows the times from last year's race. You want your time to be last year's median time with an absolute
deviation of at most 5 minutes. Complete the inequality to represent the time (in minutes) you hope to achieve.
Race times (minutes)
74 65 57 62
63 72 78 58
60 70 68 62
Answers
Jose traveled 315 miles in 7 hours. Based on this rate, how many miles did Jose travel in one hour? Do not include units.
Answers
Answer:
45
State your explanation below:
Answer:
45
Step-by-step explanation:
315/7=45
Suppose you discover that your growth fund, income fund, and money market fund return
rates are better estimated at 12%, 6%, and 3% per year respectively. How should you invest
the $3200 to get a retum of $255 in one year?
Answers
Answer:−3+3=−4
2+3−=15
4−3−=19
2 3
Step 1: Pair the equations to eliminate y because the y terms are already additive inverses
1
−3+3=−4
2+3−=15
2
2+3−=15
4−3−=19
2 3 4
3 =11
5
6 −2=34
Step 2: Write the two new equations
as a system
Step 3: Substitute the value for x and z
into one of the original equations
3 =11
3 5 +2=11
4
5−3+3 −2 =−4
15+2=11
5
6 −2=34
5−3−6=−4
−3−1=−4
9x
2=−4
=−2
= 45
x = 5
−3=−3
=1
The solution (5, 1, -2)
Step-by-step explanation:
3.186e + 15
Convert this into a number will give Brainliest please answer as soon as possible!
Answers
Answer:
3,186,000,000,000,000
Explanation:
3.186e + 15 → 3.186E+15 [What I am implying] = 3.186 × 10^15 = 3.186 × 1,000,000,000,000,000 = 3,186,000,000,000,000
____________________
People may also get the constant e mixed up if you are referring to scientific notation. I know it is the way alot of people write it, but sometimes the calculator can mix it up.
Because 3.186e + 15 may come out as 23.66044590547
How many 1/3 cup servings are in a 12-cup container of juice?
Answers
Answer:4
Step-by-step explanation:i guess because 4 time 3 if im wrong then 1b time s 12