Answer:
68
Step-by-step explanation:
Angle R is 124 which also makes angle FDE 124 because they are opposites which make them congruent. To find angle FDA you can make the equation 124 + ? = 180 then you subtract 124 from 180 to get 56 which is your FDA.
Since you know angle FDA and angle DAF are congruent you know that DAF is also 56. Then you multiply 56 by 2 (because 2 angles are 56) to get 112 and subtract that from 180 to get 68. That is your angle DFA
Answer:
a. x = 7
b. x = 36/5
Step-by-step explanation:
<u>Points to remember</u>
The ratio of of corresponding sides of similar triangles are equal.
<u>a). To find the value of x</u>
From the figure 1 we get two similar triangles, ΔABC and ADE
We can write,
AB/AD = AC/AE
3/6 = x/(x + 7)
3(x + 7) = 6 * x
3x + 21 = 6x
6x - 3x = 21
3x = 21
x = 21/3 = 7
<u>b). To find the value of x</u>
From the figure b we get
ΔABC ~ ΔEDF
AB/DE = BC/DF
4/5 = x/9
x = (4 * 9)/5 = 36/5
Answer:
5
Step-by-step explanation:
2x + 15 = 3x + 10
3x + 10 = 2x + 15
3x - 2x = 15 - 10
x = 5
Y=x^2-6x+10. Hopefully that helped
