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larisa [96]
2 years ago
12

What is the answer to this problem?

Mathematics
1 answer:
Sedaia [141]2 years ago
8 0

Answer:

x = 4.

Step-by-step explanation:

These are exterior  alternate angles which are congruent.

So 21x + 6 = 90

21x = 84

x = 4.

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How do you work this out?
Ira Lisetskai [31]
I'm guessing you find the length of the hypotenuse using the pythagorean theorem. 

a² + b² = c²     a and b are the legs and c is the hypotenuse

15² + 8² = c²

225 + 64 = c²

289 = c²

√289 = √c²

17 = c

hope that helps, God bless!
3 0
3 years ago
Read 2 more answers
a rectangular field is 45 feet wide and is enclosed by 210 feet of fencing what is the area of the field in square feet
Helen [10]
Find the length of the field first.  To do this, write a formula for the perimeter, P, of the field:  P = 210 ft = 2(45 ft) + 2L.

Then 2L = 210 - 90 = 120, and L = 60 (feet).

The area of the field is thus WL = (45 ft)(60 ft) = 2700 sq ft
7 0
2 years ago
Solve for x 3x + 10 - 4 = 21​
Ivan

Answer:

X = 5

Step-by-step explanation:

6 0
3 years ago
In ΔDEF, what is sin D, in simplified form?
Igoryamba

Answer: second option.

Step-by-step explanation:

You must apply sin\alpha=\frac{opposite}{hypotenuse}

Then, given the right triangle and the angle D, the opposite side and the hypotenuse of the triangle are the following:

opposite=20\\hypotenuse=25

Therefore, when you substitute values, you have:

sinD=\frac{20}{25}

Reduce the fraction, then you obtain:

 sinD=\frac{4}{5}

5 0
3 years ago
Read 2 more answers
The general form of the equation of a circle is x^2+y^2−4x−8y−5=0.
lakkis [162]
X² - 4x    + y² - 8y    = 5

Complete the square:
x² - 4x + (4) +  y² - 8y + (16)    = 5 + (4) + (16)
→  (x - 2)²    +  (y - 4)²    = 25

Center: (2,4)
radius: √25 = 5
5 0
3 years ago
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