The statement must be true is AC = DF ⇒ A
Step-by-step explanation:
When two triangles are congruent, then
- Their corresponding sides are equal in lengths
- Their corresponding angles are equal in measures
- Their perimeters and areas are equal
∵ ΔABC ≅ DEF
- Their corresponding sides and angles are equal
∴ AB = DE ⇒ AB is the corresponding side of DE
∴ BC = EF ⇒ BC is the corresponding side of EF
∴ AC = DF ⇒ AC is the corresponding side of DF
∴ ∠A ≅ ∠D ⇒ ∠A is the corresponding angle of ∠D
∴ ∠ABC ≅ ∠DEF ⇒ ∠ABC is the corresponding angle of ∠DEF
∴ ∠C ≅ ∠F ⇒ ∠C is the corresponding angle of ∠F
- Look to the answer to find the correct statement
∴ AC = DF
The statement must be true is AC = DF
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Answer:
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Step-by-step explanation:
Answer:
the last one
Step-by-step explanation:
Answer:
<h2>John has $23.5</h2>
Step-by-step explanation:
Step one:
we are told that their joint amount is $62
let John's amount be x
and Pedro's amount be y
so that y=x+15
Step two:
The equation to represent the situation is
62=x+(x+15)
open the bracket and solve for x we have
62=x+x+15
62=2x+15
2x=62-15
2x=47
divide both sides by 2
x=47/2
x=23.5
<u>John has $23.5</u>
Q2. The answer is <span>D. 2w + 2 • (3w) ≤112
</span>
The perimeter of a rectangle is: P = 2w + 2l (w - weight, l - length)
<span>
The perimeter is at most 112 centimeters: P </span>≤ 112
<span>The length of a rectangle is three times its width: l = 3w
</span>P ≤ 112
2w + 2l ≤ 112
l = 3w
2w + 2 * (3w) ≤ 112
Q2.2. The answer is <span>D. 8 cm
</span>
The perimeter of a rectangle is: P = 2w + 2l (w - weight, l - length)
<span>The length of a rectangle is five times its width: l = 5w
</span><span>The perimeter is at most 96 centimeters: P </span>≤ 96
P ≤ 96
2w + 2l ≤ 96
l = 5w
2w + 2 * 5w ≤ 96
2w + 10w ≤ 96
12w ≤ 96
w ≤ 96 : 12
w ≤ 8 cm
