Answer:
The perimeter of EFGH is 30.5
Step-by-step explanation:
figure ABCD is similar to figure EFGH (hence the ~ sign)
A -> B= <u>12</u>
B -> C= <u>12 </u>
C -> D= <u>12</u>
A -> D= <u>25</u>
EFGH has sides that are half of the size of ABCD
there are two ways you can solve this:
A) divide the perimeter of ABCD by 2 (making it half)
61 / 2 = 30.5
or
B) adding all of the sides together
E -> F =6 so therefore so do F-> G and G -> H
6 + 6 + 6 + 12.5 = 30.5
Answer:
(3x-4)(x-5)
Step-by-step explanation:
This is in the form
ax²+bx+c.
To factor this, we find factors of a·c that sum to b; this means factors of 3(20) = 60 that sum to -19:
60 = 1(60) or -1(-60); 2(30) or -2(-30); 3(20) or -3(-20); 4(15) or -4(-15); 5(12) or -5(-12); 6(10) or -6(-10). The only of these that sum to -19 are -4 and -15. This means we will split up -19x into -4x and -15x:
3x²-4x-15x+20
Next we group the first two terms and the last two terms:
(3x²-4x)+(-15x+20)
Factor out the GCF of each group. For the first group, this is x:
x(3x-4)
For the second group, this is -5:
-5(3x-4)
The common factor for these two groups is (3x-4):
(3x-4)(x-5)
Answer:
m<BCA+m<BCD=180
Step-by-step explanation:
supplementary means that the angle measures add up to 180°, if you are using the definition of supplementary angles AND you have had a statement saying that two angles are supplementary, ALWAYS follow it with the sum of the measures of those angles equal 180 :)
There are 30 days in June and only three of those days are multiples of 8 so you have the probability of 3 out of 30.
