Answer:
a) ΔCED ~ ΔCAB
b) 157.5 m
Step-by-step explanation:
The similarity statement for geometric figures lists the corresponding vertices in the same order. Corresponding sides of similar figures are proportional. That fact can be used to find the missing side length.
__
<h3>a)</h3>
The right angles are corresponding. Angle C corresponds to itself, so the similarity statement can be written ...
ΔCED ~ ΔCAB
__
<h3>b)</h3>
Corresponding sides are proportional, so we can write ...
AB/AC = ED/EC
AB/(50+160) = 120/160 . . . . . using the numerical values
AB = 210 × 120/160 = 157.5 . . . meters
The length of the lake is 157.5 meters.
A ratio is a comparison of two values. In this case, there are 6 boys to every 15 girls. So, this means the ratio is 6:15.
Hopefully, this helps!
cups of cheese is needed to make 10 pizzas.
<u><em>Explanation</em></u>
For making one pizza, amount of cheese needed =
cups =
cups.
Now for finding the total amount of cheese needed to make 10 pizzas, we need to <em>multiply
cups by 10. </em>
So, 
Thus,
cups of cheese is needed to make 10 pizzas.
Answer and Step-by-step explanation:
8. HL theorem - Has a right angle and the legs.
9. ASA - Angle A is congruent to angle B because of interior angles theorem, side AM is congruent to side MB because of midpoint theorem, angle AMC is congruent to angle BMD because of vertical angles theorem.
10. SSS - The two sides are congruent, and the hypotenuse is shared, making it congruent.
11. SAS - The two sides are congruent, and the angle between the congruent sides are congruent.
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