Answer:
Step-by-step explanation:
5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2
b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.
6. BD = DB Reflexive property
∠3 = ∠5, ∠4 = ∠6 Alt. int. angles
ΔADB = ΔCDB ASA
7. AB = BC Def. of midpoint
∠1 = ∠2 Given
∠BAE = ∠CBD Corresponding angles
ΔBAE = ΔCBD ASA
∠D = ∠E CPCTC
Answer:
75
Step-by-step explanation:
i'm going to assume that the base is 10, the formula for a triangle is base x height divided by 1/2 (or 2)
15height x 10base = 150 now divided by 2, 150/2 = 75
Answer:
P is at (2, 7), and Q is at (6, 11).
The midpoint of PQ is at (4, 9), calculated as follows:
((2 + 6)/2, (7 + 11)/2) = (8/2, 18/2) = (4, 9)
Answer:
1
Step-by-step explanation:
B. 24
C. 100
D. 96
4. Which one of the following statements expresses a true proportion?
A. 3:4 = 9:12
B. 2:1 = 1:2
C. 7:9 = 8:9
D. 54:9 = 6:3
Answer:
Step-by-step explanation:
3)Total no of people surveyed = 400
Percentage of people preferred WCLM = 24%
Hence no of people who preferred WCLM = 24(400)/100
=96
4)
3:4 =9:12 is true since when simplified both are equal
B is not right 2:1 cannot equal 1:2 as ratio is not commutative
c is not right as they are not equal when simplified
D is not right since when we divide left side by 9, we get 6:1
Answer:
A
Step-by-step explanation:
9 divided by 3 gives 3
12 divided by 3 gives 4
therefore 9:12 is equal to 3:4
B.-7x(3x4)=(-7x3)x4
C.-8+(8+7)=(-8+8)+7
D.-3+(7+3)=-3+(3+7)