Answer:
x = 2
Step-by-step explanation:
x + 3 = -x + 7
Add x to each side
x+x + 3 = -x+x + 7
2x+3 = 7
Subtract 3 from each side
2x = 7-3
2x = 4
Divide by 2
2x/2 = 4/2
x = 2
Answer:
You ask and answer questions to get help and help others.
Diagonal of the parallelogram divides the parallelogram in to two equal areas.
So area of parallelogram = 2(area of triangle)
According to the given diagram,
AB= 8, AD = 5 and BD = 11
So according to the Heron's formula,
Area of triangle = ![\sqrt{s(s-a)(s-b)(s-c)}\\\\where,\\ s =\frac{a + b + c }{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7Bs%28s-a%29%28s-b%29%28s-c%29%7D%3C%2Fp%3E%3Cp%3E%5C%5C%5C%5Cwhere%2C%5C%5C%20s%20%3D%5Cfrac%7Ba%20%2B%20b%20%2B%20c%20%7D%7B2%7D)
and a, b and c are the three sides of the triangle
Area of triangle ABD =![s=\frac{8 + 5 + 11}{2} \\\\s = \frac{24}{2}\\\\s = 12Area of triangle ABD = \sqrt{12(12 - 8) (12 - 5) (12 - 11)}\\\\Area of triangle ABD = \sqrt{12(4) (7) (1)}\\\\Area of triangle ABD = \sqrt{336}\\\\Area of triangle ABD = 18.33](https://tex.z-dn.net/?f=%20s%3D%5Cfrac%7B8%20%2B%205%20%2B%2011%7D%7B2%7D%20%5C%5C%5C%5Cs%20%3D%20%5Cfrac%7B24%7D%7B2%7D%5C%5C%5C%5Cs%20%3D%2012%3C%2Fp%3E%3Cp%3EArea%20of%20triangle%20ABD%20%3D%20%5Csqrt%7B12%2812%20-%208%29%20%2812%20-%205%29%20%2812%20-%2011%29%7D%5C%5C%5C%5CArea%20of%20triangle%20ABD%20%3D%20%5Csqrt%7B12%284%29%20%287%29%20%281%29%7D%5C%5C%5C%5CArea%20of%20triangle%20ABD%20%3D%20%5Csqrt%7B336%7D%5C%5C%5C%5CArea%20of%20triangle%20ABD%20%3D%2018.33%20%20)
So, area of parallelogram ABCD = 2(area of triangle ABD)
area of parallelogram ABCD = 2 (18.33)
area of parallelogram ABCD = 36.66
area of parallelogram ABCD = 36.7 sq. units
A=(v-u)/t
We know a=2.5, v=40, u=10, so:
2.5=(40-10)/t
2.5t=40-10
2.5t=30
Divide both sides by 2.5
t=12 It takes 12 seconds for the car to reach 40m/s
To find out how far it went, you do:
d=v+1/2 at^2
d=10+1/2(2.5)(12)^2
d=10+1/2(2.5)(144)
d=10+(1.25)(72)
d=10+90
d=100m
Hope this helps :)
She would have spent $600 on the furniture, and $200 on the T.V.
Her original savings were $800.