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Grace [21]
2 years ago
13

Triangle abc has the angle mesausres shown. Which statement is true about the angles?

Mathematics
1 answer:
Umnica [9.8K]2 years ago
8 0

Answer:

m∠A = 20°

Step-by-step explanation:

Given that the sum of the angles of any triangle is 180°, adding the expressions of each angle and setting them equal to 180° will give the value of 'x' and allow you to evaluate the angles.  

2x + 5x + 11x = 180

18x = 180

18x/18 = 180/18 or x = 10

m∠A = 2x or 2(10) = 20°

m∠B = 5x or 5(10) = 50°

m∠C = 11x or 11(10) = 110°

Out of the choices given, the only one that is true is that m∠A = 20°.

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Help!!! i don’t understand how i would be able to find rt
liq [111]

Given:

M is the mid-point of RS

N is the mid-point of ST

MN = 18.4

To find:

The length of RT.

Solution:

The reference image is attached below.

Joining mid-point M and N, we get mid-segment MN.

MN is parallel to RT.

Triangle mid-segment theorem:

If a segments joins the mid point of a two sides of triangle, then the segment is parallel to the third side and is half of that side.

$\Rightarrow MN=\frac{1}{2} RT

Substitute MN = 18.4

$\Rightarrow 18.4 =\frac{1}{2} RT

Multiply by 2 on both sides.

$\Rightarrow 2\times 18.4 =2\times \frac{1}{2} RT

$\Rightarrow 36.8=RT

The length of RT is 36.8.

5 0
2 years ago
Major league baseball salaries averaged $1.5 million with a standard deviation of $0.8 million in 1994. suppose a sample of 100
seropon [69]

Answer: The probability that the avg. salary of the 100 players exceeded $1 million is approximately 1.

Explanation:

Step 1: Estimate the standard error. Standard error can be calcualted by dividing the standard deviation by the square root of the sample size:

SE=\frac{0.8}{\sqrt{100}}=\frac{0.8}{10} = 0.08

So, Standard Error is 0.08 million or $80,000.

Step 2: Next, estimate the mean is how many standard errors below the population mean $1 million.

\frac{1 - 1.5}{0.08}

=-6.250

-6.250 means that $1 million is siz standard errors away from the mean. Since, the value is too far from the bell-shaped normal distribution curve that nearly 100% of the values are greater than it.

Therefore, we can say that because 100% values are greater than it, probability that the avg. salary of the 100 players exceeded $1 million is approximately 1.

5 0
2 years ago
2b-b+4a-3c=? <br> PLEASE HELP ASAP
tino4ka555 [31]

answer

1b+4a−3c

hope it  helps

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Match the angle with it's corresponding classification​
SVETLANKA909090 [29]

Answer:

∠TPR = right angle

∠SPQ = acute angle

∠QPT = obtuse angle

Step-by-step explanation:

Right angles are 90°, acute angles are angles less than 90°, obtuse angles are angles more than 90°

8 0
3 years ago
Solve for b.<br> - 32 + 106 = -22
Eddi Din [679]

Answer:

-30+10b=-22

32-22=10b

10b=10

-32+10=-22

hope it helps

6 0
3 years ago
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