Point R is the midpoint of FE¯¯¯¯¯ , so the coordinates of point R are (3a, b).
In △DEF , the length of the base, DF¯¯¯¯¯ , is
4a, and the height is 2b, so its area is
1/2×4a×2b = 4ab.
In △QRP , the length of the base, QR¯¯¯¯¯ , is
3a-a = 2a, and the height is b, so its area is 1/2×2a×b = ab .
Comparing the expressions for the areas proves that the area of the triangle created by joining the midpoints of an isosceles triangle is one-fourth the area of the larger isosceles triangle.
Answer:
option D : 130°
Step-by-step explanation:
m∠2 = m∠7 = 130° , (corresponding angles)
let x be the number of sales Hayward needs to make
316+23x > or equals to 500
23x> or equals to 184
x> or equals to 8
Answer:
x> 3/20
Step-by-step explanation:
Let's solve your inequality step-by-step.
1
/5 + 1
/3 x> 1
/2 − 1
/4
Step 1: Simplify both sides of the inequality.
1
/3
x+ 1
/5 > 1
/4
Step 2: Subtract 1/5 from both sides.
1
/3
x+ 1/
5 − 1
/5 > 1
/4 − 1
/5 1
/3 x> 1
/20
Step 3: Multiply both sides by 3.
3*(
1
/3
x)>3*(
1
/20
)
x>
3
/20
Answer:
x> 3/
20
Hope this helps!!
The word is CALCULATE. ( to determine or ascertain by mathematical methods; compute