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3 years ago

Which pair of triangles can be proven by the HL theorem

1 answer:

4 0

Also known as the hypotenuse leg theorem. It states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.' This is kind of like the SAS, or side-angle-side postulate. Congruent triangles.

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And angle measures 54° more than the measure of its complementary angle what is the measure of each angle

Mashutka [201]

Answer:
The measure of the angles are 72 degrees and 18 degrees
Step-by-step explanation:
we know that
If two angles are complementary, then their sum is equal to 90 degrees
Let
x -----> the measure of an angle
y-----> the measure of he other angle
we know that
x+y=90 -----> y=90-x -----> equation A
x=y+54 ----> equation B
substitute equation B in equation A and solve for y
y=90-(y+54)
y=90-y-54
2y=36
y=18°
Find the value of x
x=y+54 -----> x=18+54=72°
therefore
The measure of the angles are 72 degrees and 18 degrees

4 0

3 years ago

Rachel runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?

Naily [24]

Answer: 4.2 miles

Step-by-step explanation:

So she ran 6 miles in 50 minutes how long will she run in 35 minutes?

So the equation will therefore be:

6=50

x=35

Cross multiply

6 x 35 = 50x

210 = 50x

Divide both sides by 50

The answer is 4.2 miles

5 0

3 years ago

7.92 8.055 7.9 7.98 8.072 8.027 Least to greatest

ioda

Answer:

First, we compare the given numbers using a place value chart. Since I don't have one of those, we won't be using a guide.

7.92

8.055

7.9

7.98

8.072

8.027

Comparing those, this order is the correct arrangement from least to greatest:

7.9

7.92

7.98

8.027

8.055

8.072

~Hope this helps~

8 0

3 years ago

Solve the equation. 3x-5=2(-x-5)

Ira Lisetskai [31]

Answer:

The value of x = -1

Step-by-step explanation:

=> 3x-5=2(-x-5)

=> 3x - 5 = -2x - 10

=> 3x + 2x = -10 +5

=> 5x = -5

=> x = -5/5

=> x = -1

5 0

9 months ago

Read 2 more answers

An urn contains 3 red and 7 black balls. Players and withdraw balls from the urn consecutively until a red ball is selected. Fin

Sliva [168]

Correct question:

An urn contains 3 red and 7 black balls. Players A and B withdraw balls from the urn consecutively until a red ball is selected. Find the probability that A selects the red ball. (A draws the first ball, then B, and so on. There is no replacement of the balls drawn).

Answer:

The probability that A selects the red ball is 58.33 %

Step-by-step explanation:

A selects the red ball if the first red ball is drawn 1st, 3rd, 5th or 7th

1st selection: 9C2

3rd selection: 7C2

5th selection: 5C2

7th selection: 3C2

9C2 = (9!) / (7!2!) = 36

7C2 = (7!) / (5!2!) = 21

5C2 = (5!) / (3!2!) = 10

3C2 = (3!) / (2!) = 3

sum of all the possible events = 36 + 21 + 10 + 3 = 70

Total possible outcome of selecting the red ball = 10C3

10C3 = (10!) / (7!3!)

= 120

The probability that A selects the red ball is sum of all the possible events divided by the total possible outcome.

P( A selects the red ball) = 70 / 120

= 0.5833

= 58.33 %

7 0

3 years ago