9514 1404 393
Answer:
- ΔDEH ~ ΔGEF
- ∠G = 89°
- ∠F = 22°
Step-by-step explanation:
17c. We cannot see the entire diagram, but based on what we can see, if we assume that segments FG and DH are parallel, then angles D and G correspond. The similarity statement is then ...
ΔDEH ~ ΔGEF
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Corresponding angles are congruent, and are listed in the same order in the similarity statement. This means we have ...
∠D ≅ ∠G = 89° . . . . answer to 17b
∠E ≅ ∠E = 69°
∠H ≅ ∠F = 22° . . . . answer to 17a
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<em>Additional comment</em>
The second choice listed for part 17c can be rejected simply on the basis that ΔEGH does not exist in the figure. Points G and H are not in the same triangle.
Step-by-step explanation:
Each term is double the previous term. The recursive formula is:
aₙ₊₁ = 2 aₙ
The first term is 9, so the explicit formula is:
aₙ = 9 (2)ⁿ⁻¹
Answer:
the answer should be 1/11
Step-by-step explanation:
p(blue first) = 3/12
p(yellow second) = 4/11
so p = 3/12 x 4/11
1/11 is your probability
Answer:
(b + 7)(a + 4)
Step-by-step explanation:
ab + 7a + 4b + 28
separate the polynomial into 2 sections
(ab + 7a) (+ 4b + 28)
simplify each expression
a(b + 7)
4(b + 7)
you see that you have (b + 7) in both expressions. take that aside.
(b + 7)
you are left with a and positive 4. put these two together
(a + 4)
now put the expressions together
(b + 7)(a + 4)