Answer:
<h2>At least 21 cookie</h2>
Step-by-step explanation:
Firstly she needed to raise $150
and each cookie $5
let the number of cookie be x
let the expression for the fund raising be
150=5x
given that the mom gave her $45
then she need
150-45=5x
105=5x
x=105/5
x=21
Therefore she need to sell at least 21 cookie
The two triangles are similar, so will have a direct scale factor. We can find this by using the given measurements, 10÷8=1.25. So the scale factor from the smaller to the bigger triangle is 1.25. This means that 1.25×(x+6)=AE. We can solve this as we would with a regular linear equation:
1.25(x+6)=2x+6
1.25x+7.5=2x+6
1.5=0.75x
2=x
∴ AE is 2x+6=10
Answer:
5,000 people
Step-by-step explanation:
3.75 * 10^5 AKA 100,000
375,000
375000/75 = 5,000
Hope I helped!
Answer:
The proof is given below.
Step-by-step explanation:
Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of parallelogram bisect each other.
In ΔACD and ΔBEC
AD=BC (∵Opposite sides of parallelogram are equal)
∠DAC=∠BCE (∵Alternate angles)
∠ADC=∠CBE (∵Alternate angles)
By ASA rule, ΔACD≅ΔBEC
By CPCT(Corresponding Parts of Congruent triangles)
AE=EC and DE=EB
Hence, AE is conruent to CE and BE is congruent to DE
