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kondaur [170]
4 years ago
7

Find the measure of ∠C if ∠A = 3 2 x + 20 ∠B = 7 2 x + 20 ∠C = 5 2 x + 40 ∠D = 3 2 x + 10 A) 65° B) 76° C) 95° D) 115°

Mathematics
2 answers:
VARVARA [1.3K]4 years ago
7 0

Answer: D) 115 deggrees




Rudiy274 years ago
5 0
The sum of the angles of a quadrilateral is 360°.
\left(\dfrac{3}{2}x+20\right)+\left(\dfrac{7}{2}x+20\right)+\left(\dfrac{5}{2}x+40\right)+\left(\dfrac{3}{2}x+10\right)=360\\\\9x+90=360\\\\x=\dfrac{270}{9}=30

Given that x=30, the measure of ∠C is
  ∠C = (5/2)×30 +40 = 115

The appropriate choice is ...
  D) 115°
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Translate the sentence into an inequality.
Vadim26 [7]

Answer:

9(n + 22) ≤ -15

Step-by-step explanation:

9 times the sum of a number and 22 is at most −15

Let n = number

Times = multiplication

Sum = Addition

9 * n + 22

We must add parenthesis on the end on 22 and before n

We must do this because it says 9 times the sum of a number and 22 which means that 9 is being multiplied by both n and 22

We would have 9(n + 22)

9(n + 22) is at most -15

At most meaning that -15 is the highest number that 9(n + 22) can equal

Because it says at most 9(n + 22) can equal -15 or anything less than -15

So at most can be replaced with ≤

9(n + 22) ≤ -15

4 0
3 years ago
What is the equation of the line that is parallel to the line y =1/3 x + 4 and passes through the point (6, 5)?
lianna [129]

Answer:

y = \frac{1}{3} x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{3} x + 4 ← is in slope- intercept form

with slope m = \frac{1}{3}

Parallel lines have equal slopes , then

y = \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = \frac{1}{3} x + 3 ← equation of parallel line

5 0
3 years ago
A pair of vertical angles have measures (2z+43)° and (−10z+25)° .<br><br> What is the value of z?
Alexxx [7]
2.25 but i am not sure i hope that helps
4 0
4 years ago
The rectangle shown has a perimeter of 154 cm and the given area. Its length is 5 more than five times its width. Write and solv
Andreyy89

Answer:

2(L+W) = 34

L + W = 17

.

L*W = 52

.

L = 2W+5

.

2L + 2W = 34

L - 2W = 5

--------------- add

3L = 39

L = 13

8 0
3 years ago
Read 2 more answers
ZAHB and ZAHG are vertical angles.<br> **The two angles are highlighted in blue and red**
nekit [7.7K]

Already answered here: brainly.com/question/26807360

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3 years ago
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