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Mashcka [7]
3 years ago
8

I am trying to understand how to solve for X, then solve the equation

Mathematics
1 answer:
Alina [70]3 years ago
5 0

Answer:

x = 16

m<Y = 34°

Step-by-step explanation:

∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:

<X = <Z

(6x - 23)° = (4x + 9)

Solve for x

6x - 23 = 4x + 9

Collect like terms

6x - 4x = 23 + 9

2x = 32

Divide both sides by 2

x = 16

m<Y = 180° - (m<X + m<Z) (sum of ∆)

m<Y = 180 - ((6x - 23) + (4x + 9))

Plug in the value of x

m<Y = 180 - ((6(16) - 23) + (4(16) + 9))

m<Y = 180 - (73 + 73)

m<Y = 34°

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A side of square B is four times the length of a side of square A. How many times greater is the area of square B than the area
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Answer:

16 times

Step-by-step explanation:

Area is 2D so you have to square the side length.

4 0
3 years ago
Assume these are weekly. Matthew worked 8 hours at $9 a hour. Taxes were 16%. How much money was left?
guapka [62]

Number of hours worked: 8

earning per hour = $9

tax = 16%

First, multiply the number of hours by the earnings per hour:

8 x 9 = $72 (total earnings)

Now, find the tax amount by multiplying the total earnings by the tax percentage in decimal form (divided by 100)

72 x (16/100)= 72 x 0.16 = $11.52

Finally, subtract the tax amount to the total earnings:

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1 year ago
Find the smallest value of k such that 16k is a perfect cube.​
IrinaK [193]

Answer:

0

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Suppose that Cecil, the tightrope walker, can only travel lengths of 5 feet, 6 feet, and 8 feet.
d1i1m1o1n [39]

Answer:

The two expressions are;

1) -8 ft. + 3 × 6 ft. = 12 feet

2) -6 ft. + 2 × 5 ft. + 8 ft. = 12 feet

Step-by-step explanation:

The given parameters are;

The lengths in feet Cecil can travel = 5 feet, 6 feet, and 8 feet

The distances Cecil can travel forward = (positive 5, 6, 8)

Backwards Cecil can travel distances of (-5, -6, -8)

Cecil can go forward past the ladder and return back

Therefore, the number expressions by which Cecil can cross a tightrope 12 feet long are;

1) -8 ft. + 3 × 6 ft. = 12 feet

Which is to go back 8 feet and then to go forward 6 feet three times

2) -6 ft. + 2 × 5 ft. + 8 ft. = 12 feet

Which is to go back 6 feet then to go forward in 5 feet two times and then in forward again in 8 feet.

7 0
3 years ago
Two angles are supplementary the first angle measures 40 degrees what is the second angle
nydimaria [60]
The second angle would be 140⁰. When two angles are supplementary, they add up to 180⁰.
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3 years ago
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