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3 years ago

If angle 4 equals 50 degrees find the measure of angle 5 will mark brainiest

Mathematics

2 answers:

djyliett [7]3 years ago

7 0

Answer:

22.5

Step-by-step explanation:

All of the angles inside the triangle equals 180. Therefore, the equation is x+2x+5x=180. Then, you solve for x. The final equation should look like 8x=180 And that is how we get.22.5

Sergio [31]3 years ago

6 0

Answer:

Step-by-step explanation:

its alternate internal angles:

∠4 ≅ ∠5 (angle 4 is congruent or equal to alternate internal angle)

therefore,

∠5 = 50°

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An above ground swimming pool is leaking. After 1/2 hour the pool has leaked 7/8 of a gallon of water. How many gallons of water

pshichka [43]

7/8 gallon of water/ (1/2 hr)= 1.75 gallons of water/ hr.

The swimming pool is leaking 1.75 gallons of water/ hr.

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3 years ago

Is -4 rational or irrational

Hoochie [10]

It’s a Rational number

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3 years ago

A car travels along a straight stretch of road. It proceeds for 16.2 mi at 57 mi/h, then 24.6 mi at 44 mi/h, and finally 45.1 mi

LekaFEV [45]

Answer:

The average velocity the entire trip was 43.25 mi/h

Step-by-step explanation:

In this case we have to calculate an average based on the miles traveled. First we have to calculate the total of miles traveled, then calculate the portion of the total travel of each and with this calculate the average speed during the trip. First the total miles traveled:

$TotalMiles=16.2+24.6+45.1=85.9$

Now the percentages:

At 57 mi/h were $\frac{16.2}{85.9}=0.19$

At 44 mi/h were $\frac{24.6}{85.9}=0.29$

At 37.8 mi/h were $\frac{45.1}{85.9}=0.52$

Now multiplying the speed by the portion and summing them we can have the average velocity:

$57*0.19+44*0.29+37.8*0.52=43.25$

The average velocity the entire trip was 43.25 mi/h

5 0

3 years ago

In the diagram below of a parallelogram STUV, SV=x+3, VU 2x-1, and TU=4x-3. What is the length of SV?

Katena32 [7]

Answer:

$SV=5\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In a parallelogram opposites sides are parallel and congruent

In this problem

$SV=TU$ ---> by opposite sides

substitute the given values

$x+3=4x-3$

solve for x

$4x-x=3+3\\3x=6\\x=2$

Find the length of SV

$SV=x+3$

substitute the value of x

$SV=2+3=5\ units$

5 0

3 years ago

Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 33 ft long. She

qaws [65]

<h3>Answer: 16 ft by 25 ft</h3>

=========================================================

Explanation:

Refer to the diagram below.

The outer dimensions 24 ft and 33 ft shrink down to 24-2x ft and 33-2x ft respectively. This subtraction of 2x is due to subtracting two copies of x per side.

The carpet has area of (24-2x)(33-2x)

Cynthia can afford to buy 400 sq ft of carpet

So we set 400 equal to that previous expression and solve for x

(24-2x)(33-2x) = 400

24(33-2x) - 2x(33-2x) = 400

792-48x - 66x + 4x^2 = 400

4x^2 - 114x + 792 = 400

4x^2 - 114x + 792-400 = 0

4x^2 - 114x + 392 = 0

From here, use the quadratic formula to isolate x.

Plug in a = 4, b = -114, c = 392

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-114)\pm\sqrt{(-114)^2-4(4)(392)}}{2(4)}\\\\x = \frac{114\pm\sqrt{6724}}{8}\\\\x = \frac{114\pm82}{8}\\\\x = \frac{114+82}{8} \ \text{ or } \ x = \frac{114-82}{8}\\\\x = \frac{196}{8} \ \text{ or } \ x = \frac{32}{8}\\\\x = 24.5 \ \text{ or } \ x = 4\\\\$

The two possible solutions are x = 24.5 and x = 4

But if x = 24.5, then 24 - 2x = 24 - 2*24.5 = -25 which isn't possible. We cannot have a negative width or negative length for the carpet.

Luckily x = 4 does work since

24 - 2x = 24 - 2*4 = 16

33 - 2x = 33 - 2*4 = 25

Both results are positive.

Therefore, the carpet has dimensions of <u>16 ft by 25 ft</u>

Check: 16*25 = 400, so the answer is confirmed

5 0

2 years ago

If angle 4 equals 50 degrees find the measure of angle 5 will mark brainiest​

If angle 4 equals 50 degrees find the measure of angle 5 will mark brainiest