Step-by-step explanation:
step 1. KITE is a kite
step 2. <ski + <kis + 90 = 180 (internal angles of a triangle has a sum of 180)
step 3. <ski + 25 = 90
step 4. <ski = 65°
step 5. <kes = <kis (angles across equal sides are equal)
step 6. <kes = 25°
step 7. <kie = <kis (they are the same angle)
step 8. <kie = 25°.
step 9. let's call ek = x and et = 1 5x
step 10. therefore x + 1.5x + x + 1.5x = 55
step 11. 5x = 55 or x = 11 = ek
step 12. et = 1.5x = 1.5(11) = 16.5.
Answer:
x=16
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(8+24) * 8 = x^2
32*8 = x^2
256 =x^2
Take the square root of each side
sqrt(256) = sqrt(x^2)
16 = x
Answer:
the slope is 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
The given expression is x-
= 2
and we have to solve this for the value of x,
( x-
) = (2)

x² - 15 = 2x
x² - 2x - 15 = 0
x² - 5x + 3x - 15 = 0
x ( x-5 ) + 3(x - 5) = 0
( x+3 )( x-5 ) = 0
( x+3) = 0
x = -3
or ( x- 5 ) = 0
x = 5
Therefore, x = -3 and 5 will be the solution.
Option E is the answer.
Answer:
The number of females is 288.
Step-by-step explanation:
Let the number of females be x.
5:4 = 360:x
We can write the equal ratios as a proportion.
5/4 = 360/x
Cross multiply:
5x = 360 * 4
5x = 1440
x = 288
Answer: The number of females is 288.