All categories

3 years ago

Indicate the method you would use to prove the two Δ's ≅ . If no method applies, enter "none".

Mathematics

1 answer:

slavikrds [6]3 years ago

7 0

Here is your answer

$SSS$

REASON:

SSS congruency states that, if all the three sides of a triangle are respectively equal to the corresponding sides of another triangle then both triangles are said to be $congruent$ .

Here, in both triangles

7units=7 units

8units=8units

Middle side is common to both triangles so it is equal.

Hence, both triangles are congruent by SSS

HOPE IT IS USEFUL

You might be interested in

(50 Points Please help)

Elina [12.6K]

Answer:

A. Length of a Tour Bus ↔ #2. 1.1 × 10¹ meters

B. Width of an apple ↔ #3. 4 × 10⁰ centimeters

C. Distance from Earth to a Satellite ↔ #6. 8 × 10² kilometers

D. Thickness of a human hair ↔ #5. 9 × 10¹ micrometers

Step-by-step explanation:

The length of a tour bus should be measured in meters. It sure is way less than 1 kilometer and way more than a few centimeters. It could be about some meters, more than 5 meters, may be between 10 meters and 15 meters.

The measurement in the box # 2. is 1.1 × 10¹ meters, which is equivalent to 1.1 × 10 meters = 11 meters. Thus, this is a reasonable length.

B. Width of an apple.

The most appropriate unit to measure the width of an apple should be centimeter. It certainly is shorter than 1 meter and bigger than 1 mm.

The width of an apple could be, more or less, around 8 centimeters. The only measurement in the boxes that is in that order is that in the box #3., 4 × 10⁰ centimeters, because 10⁰ = 1, so 4 × 10⁰ = 4 × 1 = 4 centimeters.

C. Distance from Earth to a Satellite

The distance from Earth to a satellite should be measured in kilometers.

You can find in the internet that the distances of the satellites are between 700 kilometers and 36,000 kilometers.

The number in the box #1 is too big, in the order of ten trillions of kilometers, because one trillion is 10¹²; thus that is nonseasonal (too big).

The number in the box #6 is 8 × 10² kilometers, which is equal to 8 × 100 = 800 kilometers.

Thus, 8 × 10² kilometers (box #6) is the most reasonable measurement for the distance from Earth to a Satellite

D. Thickness of a human hair

Of course, kilometers, meters, centimeters and even millimeters are units too big to measure the thickness of a human hair.

One micrometer is 10⁻⁶ meters or 10⁻³ millimeters.

In the internet you can find that diameter of the human hair is in the range from 17 micrometers to 181 micrometers.

The measurement in the box #5. is 9 × 10¹ micrometers, which is equivalent to 9 × 10 = 90 micrometers.

Thus, 9 × 10¹ micrometers is the most reasonable measurement for the thickness of a human hair.

5 0

3 years ago

Read 2 more answers

Annette is stacking boxes in her closet. There are 15 boxes in all. If each box weighs 7.5 pounds, how much do the boxes weigh a

Phantasy [73]

It should be 112.5 pounds because if there are 15 boxes and each box weighs 7.5 pounds, 15 x 7.5 = 112.5

5 0

3 years ago

Read 2 more answers

- 1/3 - (-1/2) what’s the answer? Someone please help!

Natasha_Volkova [10]

Answer:

1/6

Step-by-step explanation:

So we are subtracting a negative which is the same as adding. Our equation becomes -1/3+1/2. To add fractions we need a common denominator (the denominator of a fraction is the number on the bottom) To fine the least common denominator we need to find the lowest number that both 3 and 2 go into which is 6. Then we will multiply each fraction by the number that will give us 6 for a denominator which is 2 for -1/3 and 3 for 1/2. So -1/3 times 2 is -2/6 and 1/2 times 3 is 3/6. Our equation is now -2/6+3/6. Now we will add the numerators ( the numerator is the number on the top of the fraction) and the denominators stay the same when adding or subtraction fractions -2/6+3/6=1/6

I hope this helps and please let me know if there is anything you are confused about or is still unclear, I will be happy to help!

3 0

3 years ago

Use the model below to estimate the average annual growth rate of a certain country's population for 1950, 1988, and 2010, where

Morgarella [4.7K]

Answer:

The average annual growth rate of a certain country's population for 1950, 1988, and 2010 are 2.398, 0.9985 and 0.2236 respectively.

Step-by-step explanation:

The given equation is

$Y=-0.0000084x^3+0.00211x^2-0.205x+8.423$