Answer:
Angle A = 75°
Angle B = 75°
Angle C = 30°
Explanation:
If AC is congruent to CB, from figure given we have angle A = angle B.
Angle A = 3x + 18
Angle B = 7x - 58
Angle C = 2x - 8
We have,
3x + 18 = 7x - 58
4x = 76
x = 19
So,
Angle A = 3*19 + 18 = 75°
Angle B = 7*19 - 58 = 75°
Angle C = 2*19 - 8 = 30°
Answer:
There are 10 dogs in the kennels
Step-by-step explanation:
The equivalent fraction relationship between the number of dogs and cats in the kennels is 1/2.
Which means, if
the number of dods and
is the number of cats, then,

Given that there are 20 cats, so 
Now, from equation (i) we have,


.
Hence, there are 10 dogs in the kennels.
Answer:
(x+1)(x+8)
Step-by-step explanation:
x^2+9x+8
You just need to multiply the first number to the last. (a·c) In this case *a* is jus a positive 1. Then, you just find a product to the result you got from (a·c) that when it is added together the result is the same as the one you have as ¨b¨.
Also the sign betwee b and c tells you that if it is positive both of your products are going to have the same sign, and if it is negative it means that they are going to be different,(one negative and one positive). If the sign is positive then go to the sign between a and b, this tells you what sign your factors will have.
<h2>x^2+9x+8</h2>
a·c=8
<u>Product Sum</u>
1,8 8
2,4 6
ect... ect...
x^2+x+8x+8
x(x+1) 8(x+1)
(x+1)(x+8)
<u />
(x+2)(5x-1) (x+10)(x+7)
(x+10)(x+2) 3(5x-1)
Cancel like factors and you're left with. (x+7)/3