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yarga [219]
3 years ago
12

Somebody help me with this 20 points

Mathematics
1 answer:
kiruha [24]3 years ago
4 0
X1=2,X2=10. Hope that helped lovely
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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°
Rudiy27
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°
5 0
3 years ago
Read 2 more answers
In 2008 election there was 28 blue states and 22 red states express the red and blue states as fractions in lowest terms of the
Basile [38]
Let's start with the blue states. Out of 50 states, 28 of them were blue.
Therefore, the fraction would be 28/50. Let's reduce it.
28/50=14/25 --> these are the lowest terms for this fraction
Use a calculator to find the decimal solution --> 14/25= .56

Now, let's do the red states. Out of the 50 states, 22 of them were blue.
22/50=11/25 --> lowest terms
Use a calculator --> 11/25= .43
8 0
3 years ago
Round 6.85565 to the nearest tenth !
emmasim [6.3K]

Answer:

It is 6.9

Step-by-step explanation:

6.85565

put

6.85

5 can be rounded up so

6.9 is answer

3 0
3 years ago
Coulter Supply has a total debt ratio of .46. What is the equity multiplier? Select one: a. .89 b. 1.17 c. 1.47 d. 1.85 e. 2.17
Archy [21]

Answer:

Option D.

Step-by-step explanation:

The formula for total debt ratio is

\text{Total debt ratio}=\dfrac{\text{Total assets - Total Equity}}{\text{Total assets}}

It can be rewritten as

\text{Total debt ratio}=1-\dfrac{\text{Total Equity}}{\text{Total assets}}     .... (1)

We know that,

\text{ Equity multiplier}=\dfrac{\text{Total Equity}}{\text{Total assets}}          ... (2)

Using (1) and (2) we get

\text{Total debt ratio}=1-\dfrac{1}{\text{Equity multiplier}}

Substitute total debt ratio=0.46 in the above equation.

0.46=1-\dfrac{1}{\text{Equity multiplier}}

0.46-1=-\dfrac{1}{\text{Equity multiplier}}

-0.54=-\dfrac{1}{\text{Equity multiplier}}

\text{Equity multiplier}=-\dfrac{1}{-0.54}

\text{Equity multiplier}=1.85185185

\text{Equity multiplier}\approx 1.85

Therefore, the correct option is D.

7 0
3 years ago
What is the length of the base of a right triangle with an area of 20 m and a height of 4 m?
fenix001 [56]

Answer: 5 m

Step-by-step explanation:

height x base = area

4x=20

x=20÷4

x=5

base= 5m

4 0
3 years ago
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