1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ket [755]
3 years ago
12

Measures of each interior angle

Mathematics
1 answer:
Bogdan [553]3 years ago
4 0

Given:

∠Q = (2x + 5)°, ∠R = x°

∠S = (2x + 7)°, ∠T = x°

To find:

The measure of each interior angle.

Solution:

Sum of all the angles of a quadrilateral = 360°

∠Q + ∠R + ∠S + ∠T = 360°

2x° + 5° + x° + 2x° + 7° + x° = 360°

6x° + 12° = 360°

Subtract 12° from both sides.

6x° = 348°

Divide by 6 on both sides.

x° = 58°

The measure of angle R is 58°.

The measure of angle T is 58°.

Substitute x = 58 in Q, and S.

∠Q = (2(58) + 5)°

     = (116 + 5)°

∠Q = 121°

The measure of angle Q is 121°.

∠T = (2(58) + 7)°

     = (116 + 7)°

∠T = 123°

The measure of angle T is 123°.

You might be interested in
A farm grew 19.8 tons of wheat in 2013. The farm's wheat output increased by 9.8% from 2013 to 2014 and by 5.1% from 2014 to 201
7nadin3 [17]

Answer: Choice D

Explanation:

The increase of 9.8% rounds to 10% when rounding to the nearest ten

An increase of 10% would use the multiplier 1.1

Think of it like saying 1 + 0.10 = 100% + 10%

Similarly, the 5.1% rounds to 5% and an increase of this amount will use the multiplier 1.05

So if we started with 20 items, then 20(1.1)(1.05) is the expression that estimates an increase of 10% followed by an increase of 5%. The order doesn't matter (so you could increase by 5% first, then 10% later).

3 0
3 years ago
At Northwest Highschool, there are 1472 students in the junior class and 1012 students in the senior class. To let the juniors w
9966 [12]
The answer to your question is 23.
8 0
3 years ago
Find f(x) = 12/4x+2 find f(-1)
NeTakaya
X=-1
12/-4=-3
-3+2=-1
The correct answer is -1
3 0
3 years ago
Ebony earned scores of 72 70, 81, 99, and 88 on five math tests. Determine her
Minchanka [31]

Let it be x

\boxed{\sf Average=\dfrac{Sum\:of\:terms}{No\:of\:terms}}

\\ \sf\longmapsto \dfrac{72+70+81+99+88+x}{6}=83

\\ \sf\longmapsto \dfrac{410+x}{6}=83

\\ \sf\longmapsto 410+x=498

\\ \sf\longmapsto x=498-410

\\ \sf\longmapsto x=88

6 0
3 years ago
I have 10 apples and my sis has twice apples than me.How many more apples left?
Margaret [11]
It would be 10, I assume!
4 0
3 years ago
Other questions:
  • Jamie needs to determine the distance across a river. She selects a rock, R, on the opposite river bank. She finds a tree, T, on
    6·1 answer
  • X : y = 5:3 and x + y = 56 work out the value of x - y
    13·1 answer
  • A circle is centered at (−4, 9) and has a radius of 11.
    9·1 answer
  • Tonya wrote the equation below which solves for x.
    9·1 answer
  • Which expression is the exponential form of
    11·1 answer
  • Tell whether the 2 rates form a proportion:
    10·1 answer
  • 8. What 3 dimensional shape has 4 triangles that are all the same size and a square?
    11·1 answer
  • Find the perimeter of the trapezoid. ROUND YOUR ANSWER TO THE
    13·1 answer
  • Which equation is equivalent to −5(4x+2+3x) = 6?
    6·1 answer
  • Geometry question: What are the coordinates of the image of the point (3, -11) under a dilation with a scale factor of 5 and the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!