Answer:
Answer is 904
Refer below.
Step-by-step explanation:
5650 total,
And 4:1 which adds up and make 5. So,
5x = 5650
x=5650/5
x=1130
As pichard part is 4:1 so his part is 4 overall the money so,
Richard got 4x = 4 × 1130 = 4520
4520 now dividing in 6:3:1
10a = 4520
A= 452
Wife amount is 3a = 3 ×452 = 1356
Son is 1a so its,
Son = 452
Minus= 1356 -452 = 904
Wife got 904 more than son
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.
I'm not doing your math homework, this is to help you learn and pass your test :) I will however show you a trick. ask your self this... "What can i factor out of 4x that i can also factor out of 8, which this would be 4. Now what you do if you divide everything by 4
4x/4 = x
8/4 = 2
so 4(x+2) is 4x+8 fully factored, NOW to check, use the distributive property, Multiply 4 back into x+2
4*x = 4x
4*2 = 8
so 4(x+2) = 4x+8
Answer:
-4
Step-by-step explanation:
-4t+15=-1
Subtract 15 on both sides:
-4t=-16
Divide -4 on both sides:
t=-4
When you are multiplying and have like bases, then you add the exponents.
2+3=5
3^5