Answer:
h =14
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) ΔCPD & ΔEPF
∠CPD = ∠EPF { Vertically opposite angles}
∠CDP = ∠PFE {CD║EF, FD is transversal, Alternate interior angles are equal}
ΔCPD ≈ΔEPF {AA criteria for similarity }
![\frac{DC}{EF} =\frac{PC}{EP}\\\\\\\frac{27}{EF}=\frac{15}{7.5}\\\\](https://tex.z-dn.net/?f=%5Cfrac%7BDC%7D%7BEF%7D%20%3D%5Cfrac%7BPC%7D%7BEP%7D%5C%5C%5C%5C%5C%5C%5Cfrac%7B27%7D%7BEF%7D%3D%5Cfrac%7B15%7D%7B7.5%7D%5C%5C%5C%5C)
Cross multiply
EF * 15 = 27 * 7.5
![EF =\frac{27*7.5}{15}\\\\](https://tex.z-dn.net/?f=EF%20%3D%5Cfrac%7B27%2A7.5%7D%7B15%7D%5C%5C%5C%5C)
EF = 27 * 0.5
EF = 13.5 cm
ii) EF // AB, so Triangles ACB & ECF are similar triangles
![\frac{AB}{EF}=\frac{AC}{EC}\\\\\frac{22.5}{13.5}=\frac{AC}{22.5}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BEF%7D%3D%5Cfrac%7BAC%7D%7BEC%7D%5C%5C%5C%5C%5Cfrac%7B22.5%7D%7B13.5%7D%3D%5Cfrac%7BAC%7D%7B22.5%7D)
![AC= \frac{22.5*22.5}{13.5}\\\\AC=37.5 cm](https://tex.z-dn.net/?f=AC%3D%20%5Cfrac%7B22.5%2A22.5%7D%7B13.5%7D%5C%5C%5C%5CAC%3D37.5%20cm)
AC = 37.5 cm
The quadratic formula is...
![\frac{-b (+/-)\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%20%28%2B%2F-%29%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
your a will be in front of your x^2, b in front of your x, and c will be the number without an x. Plug those into the equation and you'll get two answers. That will be it
It’s the first answer, both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
1/2 of x +4
=1/2(2)=1.
1+4= 5
2+6=8
1/2(2)=1.
8-1=7
7-2=5
Step-by-step explanation:
use the formula: (a+b)³ = a³+3a²b+3ab²+b³
and place the corresponding values.