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3 years ago

Find the measure of the exterior angle in the following triangle. DUE SOON PLZ HELP WITH STEP BY STEP

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

8 0

Answer:

The measure of an exterior angle = 125°

Hence, option A is correct.

Step-by-step explanation:

As the given triangle is a right-angled triangle ΔABC.

Given the angles

m∠A = 35°

m∠C = 90°

We know that the sum of angles in a triangle is 180°.

Thus,

m∠A + m∠B + m∠C = 180°

substituting m∠A = 35° and m∠C = 90° in the equation

35° + m∠B + 90° = 180°

125 + m∠B = 180°

subtract 125 from both sides

125 + m∠B - 125 = 180° - 125

m∠B = 55°

Thus, the measure of angle B is:

m∠B = 55°

As the exterior angle of the given triangle is adjacent to m∠B = 55°.

We know that the exterior angle of a triangle is equal to the sum of two opposite interior angles.

Here,

∠A and ∠C are two opposite interior angles of the exterior angle.

Thus,

The measure of an exterior angle is equal to the sum of two opposite interior angles.

m∠A = 35°

m∠C = 90°

Exterior angle = m∠A + m∠C

= 35° + 90°

= 125°

Thus, the measure of an exterior angle = 125°

Hence, option A is correct.

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Aida makes $9.25 per hour. Aida works 14 hours in one week. At the end of the week, Aida deposits 1/5 of her total income into a

Lina20 [59]

Answer:

$103.6 left

Step-by-step explanation:

First, multiply the amount she earns an hour times how many hours she worked:

9.25 x 14 = 129.5

Then divide the total by 1/5:

129.5 / 5 = 25.9

Then subtract that value from the total:

129.5 - 25.9 = 103.6

$103.6 is your answer

Hope this helps!

4 0

2 years ago

Read 2 more answers

4n^(2)+4n=3 Please help with the work

Kaylis [27]

Answer:

n= 1/2 ( $\frac{1}{2}$ ) or (0.5)

AND

n= -3/2 ( $-\frac{3}{2}$ ) or (-1.5)

Step-by-step explanation:

4n^2+4n=3

step1: move 3 to the other side and make the equation equal to zero.

4n^2+4n-3=0

step2: factorise the equation.

(2n-1)(2n+3)=0

step3: make each bracket equal to zero.

2n-1=0

2n+3=0

step4: solve for n values.

1. 2n-1=0

(add 1 for both sides)

2n=1

(divide by 2 for both sides)

n= 1/2 ( $\frac{1}{2}$ ) or (0.5)

2. 2n+3=0

( subtract 3 for both sides)

2n=-3

(divide by 2 for both sides)

n= -3/2 ( $-\frac{3}{2}$ ) or (-1.5)

3 0

3 years ago

A clinical trial was conducted to test the effectiveness of a drug for treating insomnia and older subjects before treatment 14

RideAnS [48]

Answer:

99% confidence interval estimate of the mean weight time for a population with drug treatments

(79.11 , 112.69)

Step-by-step explanation:

Step(i):-

Given data mean of the Population = 104 minutes

Given sample size 'n' =14

Mean of the sample(x⁻) = 95.9 minutes

Given Standard deviation = 24.4 minutes

Step(ii):-

99% confidence interval estimate of the mean weight time for a population is determined by

$(x^{-} - Z_{0.01} \frac{S.D}{\sqrt{n} } , x^{-} +Z_{0.01} \frac{S.D}{\sqrt{n} })$

$(95.9 - 2.576\frac{24.4}{\sqrt{14} } , 95.9+2.576\frac{24.4}{\sqrt{14} })$

On calculation , we get

(95.9 -16.79 , 95.9 +16.79)

(79.11 , 112.69)

Conclusion:-

99% confidence interval estimate of the mean weight time for a population with drug treatments

(79.11 , 112.69)

7 0

3 years ago

I need answer on this graphing va substitution.Problem 7 I tried to solve it but not sure that’s correct

Bond [772]

Given the system of equations:

$\begin{gathered} 2x+9y=27 \\ x-3y=-24 \end{gathered}$

To solve it by substitution, follow the steps below.

Step 1: Solve one linear equation for x in terms of y.

Let's choose the second equation. To solve it for x, add 3y to each side of the equations.

$\begin{gathered} x-3y=-24 \\ x-3y+3y=-24+3y \\ x=-24+3y \end{gathered}$

Step 2: Substitute the expression found for x in the first equation.

$\begin{gathered} 2x+9y=27 \\ 2\cdot(-24+3y)+9y=27 \\ -48+6y+9y=27 \\ -48+15y=27 \end{gathered}$

Step 3: Isolate y in the equation found in step 2.

To do it, first, add 48 to both sides.

$\begin{gathered} -48+15y=27 \\ -48+15y+48=27+48 \\ 15y=75 \end{gathered}$

Then, divide both sides by 15.

$\begin{gathered} \frac{15y}{15}=\frac{75}{15} \\ y=5 \end{gathered}$

Step 4: Substitute y by 5 in the relation found in step 1 to find x.

$\begin{gathered} x=-24+3y \\ x=-24+3\cdot5 \\ x=-24+15 \\ x=-9 \end{gathered}$

Answer:

x = -9

y = 5

or (-9, 5)

Also, you can graph the lines by choosing two points from each equation, according to the picture below.

7 0

1 year ago

How many zeros will the 7 x 50 product have? explain how you know

Nadusha1986 [10]

Answer:

7x50 will have one 0 !

Explanation:

I usually just take the zero out and multiply the other numbers (7x5). So, seven times five is 35, then now i add the zero!

Step by step explanation:

7x5∅

7x5=35

Since I took away the zero, I will now add it back after I get the answer.

35←0

350

ONE ZERO!

hope i helped you! sorry if its confusing!

6 0

3 years ago