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:
(11, 13)
Step-by-step explanation:
Carolyn's work is incorrect. Below is the correct solution:
Given:
----› Equation 1
-----› Equation 2
Substitute y = (x + 2) in equation 1
----› Equation 1
(substitution)
(distributive property)
[Note: this is where Carolyn made a mistake]
Collect like terms
(addition property of equality).
Substitute x = 11 in equation 2
-----› Equation 2
(substitution)
✅The solution to the system of equations would be:
(11, 13)
Answer:
width=18cm
Step-by-step explanation:
perimeter= 2(l+b)
90=2(27+b)
90/2=27+b
45-27=b
b=18cm
Answer:
0
Step-by-step explanation:
-4 times -6x is 24x and-4 x -3 = 12
isolating 24x on the right side we subtract twelve on the right and on the left to get 24x=0 and 24 divided by zero is 0
