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3 years ago

Use the Angle Addition Postulate to find the measure of each angle.

Mathematics

1 answer:

Simora [160]3 years ago

5 0

For number 15 and 16, you just have to find the absolute difference between the two points along the calibration of the protractor.

15. ∠BXC = |B - C| = |140° - 110°| = 30°
16. ∠BXE = |B - E| = |140° - 30°| = 110°

For numbers 20 and 21, apply the Angle Addition Postulate. This is when you add the individual interior angles to equate to the total angle.

20. ∠PQS = ∠PQR + ∠RQS
112° = 72°+ 10x°
x = 4

21. ∠KLM = ∠KLN + ∠NLM
135° = 47°+ 16y°
y = 5.5

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Triangle FGH is similar to triangle DEF. solve for p

malfutka [58]

Answer:

We get value p=16

Step-by-step explanation:

When triangles are similar, the ratio of corresponding sides is equal.

In the given triangles we have to find value of p

We have the ratio: (Can use ratio of any two sides)

$\frac{HF}{PD} =\frac{GF}{ED}$

Now, putting values and finding p

$\frac{12}{p}=\frac{24}{32}\\Cross\:Multiply\\12\times 32 = 24 p\\p=\frac{384}{24}\\p= 16$

So, we get value p=16

8 0

3 years ago

What is 370 by the power of 90

Nikitich [7]

its a really big #

1.37453298E231

^ is ur answer

3 0

3 years ago

Kristen goes on a cave tour with her family. they climb down to 8 meters below ground level

dybincka [34]

Answer:

16 meters

Step-by-step explanation:

Step 1:

They climbed 8 meters down

Then 8 meters up to get back to ground level.

Step 2:

8+8=16

5 0

3 years ago

A parallelogram has sides 17.3 m and 43.4 m long. The height corresponding to the 17.3-m base is 8.7 m. Find the height, to the

Anvisha [2.4K]

Answer:

3.5m

Step-by-step explanation:

A parallelogram has sides 17.3 m and 43.4 m long.

The height corresponding to the 17.3-m base is 8.7 m.

The area of a parallelogram = base × height

= 8.7m × 17.3m

= 150.51m²

Both parallelograms have the same area

Hence, the height, to the nearest tenth of a meter, corresponding to the 43.4-m base is calculated as:

= 150.51m²/43.4m

= 3.4679723502m

Approximately = 3.5m

7 0

3 years ago

A rectangle with length n and height m. A right triangle with hypotenuse n + 1, length n, and height m.

Oksana_A [137]

9514 1404 393

Answer:

C. 12cm

Step-by-step explanation:

The equation for the perimeter of the rectangle is ...

P = 2(L+W)

34 = 2(n +m)

Solving for m, we get

m = 17 -n . . . . . . . divide by 2, subtract n

The Pythagorean theorem gives the relationship between the sides and the hypotenuse

m^2 +n^2 = (n+1)^2

(17 -n)^2 +n^2 = (n +1)^2 . . . . . . substitute for m

289 -34n +n^2 +n^2 = n^2 +2n +1 . . . . eliminate parentheses

n^2 -36n +288 = 0 . . . . . . . put in standard form

(n -12)(n -24) = 0 . . . . . . . . . factor

n = 12 . . . . . . . . . . n=24 is an extraneous solution here

The value of n is 12 cm.

8 0

3 years ago