Answer:
Step-by-step explanation:
<h3>Question </h3>
- It is given the ∆ABC≅∆FDE and AB=4 cm, ∠B=40⁰ and ∠E=60⁰, then which of the following is true.
- (A) DE=4cm, ∠A=80⁰
- (B) DE=4 cm, ∠C=80⁰
- (C) DF=4 cm, ∠A=80⁰
- (D) DF=4cm, ∠C=80⁰
<h3>Solution</h3>
<u>Corresponding sides and angles are:</u>
- AB ≅ FD
- ∠A≅∠F, ∠B≅∠D, ∠C≅∠E
<u>Given</u>:
- AB = 4 cm, so FD = 4 cm
- ∠B = 40⁰ and ∠E = 60⁰, so ∠D = 40⁰ and ∠C = 60⁰
and
- ∠A = ∠F = 180⁰ - (40⁰ + 60⁰) = 80⁰
Considering all above we see that correct answer option is (C)
Answer:
15
Step-by-step explanation:
Let x represent the number of algebra problems. Then the number of geometry problems was 27-x and the total working time was ...
2x +5(27 -x) = 90
-3x = 90 -135 . . . . subtract 135
x = -45/-3 = 15 . . . divide by -3
Rob had 15 algebra problems for homework.
Answer:
it depends on the shelf
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
29=7x + 5 -4x
add like terms: 29 = 3x +5
get your x variable on one side
24 = 3x
divide by 3
x = 8
check!
29 = 7(8) + 5 -4(8)
29 = 56 + 5 -32
29 = 51 - 32
29 = 29
