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4 years ago

What theorem or postulate can be used to justify that HIG=FIE

Mathematics

2 answers:

Doss [256]4 years ago

7 0

Answer: A. SAS

Step-by-step explanation:

In the given picture , we have two triangles ΔHIG and Δ FIE , in which

$\overline{HI}\cong\overlien{FI}$ [given]

$\angle{HGI}\cong\angle{FEI}$ [given]

Also, $\angle{HIG}\cong\angle{FIE}$ [Vertically opposite angles]

Therefore by SAS congruence postulate we have

$\triangle{HIG}\cong\triangle{FIE}$

SAS congruence postulate says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle then we say that the two triangles are congruent.

oksano4ka [1.4K]4 years ago

3 0

Answer:

Step-by-step explanation:

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A culture of bacteria doubles every two hours. If there are 100 bacteria on the first 2 hours,

kvv77 [185]

Answer: 1200
2h -100
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3 years ago

Arrange the given numbers in descending order 4/5,0.09,4,9,2/4

egoroff_w [7]

Answer:

9,4,4/5,2/4,0.09

Step-by-step explanation:

Simple, countdown from 9.

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3 years ago

Read 2 more answers

Catalina skates 40 feet due north in a skating rink. Then she skates 30 feet due west, before skating diagonally across the rink

Andre45 [30]

Answer:

Catalina skates a total of 120 feet

Step-by-step explanation:

In order to determine how far she skates, create a right triangle. We know each legs' value with one being 30 and the other 40. Now we can find the hypotenuse by using the Pythagorean Theorem.

a^2 + b^2 = c^2

30^2 + 40^2= c^2

900 + 1600 = c^2

2500 = c^2

50 = c

Now that we have all 3 sides of the right triangle, add them together for the total distance.

30 + 40 + 50 = 120 feet

7 0

3 years ago

A recipe for pie crust uses 2/3 cup of butter. One stick of butter is 1/2 cup of butter , which is equivalent to 8 teaspoons of

cestrela7 [59]

3/6 if I’m not mistaken

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3 years ago

The current of a river is 3 miles per hour. A boat travels to a point 176 miles upstream and 176 miles back in 19 hours. What is

serious [3.7K]

Answer:

If I am understanding your question, the total upstream is 8 miles and another 8 miles downstream.

Let s = the speed of the boat in still water

d = rt

8 = 5(s + 3) downstream

8 = 5s + 15 equation 1

8 = 5(s - 3) upstream

8 = 5s - 15 Add equation 1

8 = 5s + 15

16 = 10s Divide both sides by 10.

s = 16/10 = 8/5 = 1.6 mph

4 0

2 years ago