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2 years ago

Which of the following theorems verifies that kml = opq

Mathematics

1 answer:

ELEN [110]2 years ago

6 0

The HA is the Hypotenuse Angle Theorem. The correct option is A.

<h3>What is Hypotenuse Angle Theorem?</h3>

The hypotenuse angle theorem (HA theorem) asserts that "if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent."

The HA theorem also known as the Hypotenuse angle theorem is used to prove that ΔKML≅ΔOPQ.

Hence, the correct option is A.

Learn more about the Hypotenuse Angle Theorem:

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If n = 8, evaluate 26 - 3 (n + 8) ÷ 4

sasho [114]

Answer:

Step-by-step explanation:

PLUG 8 in for n. Use the order of operations to evaluate. 26-3(8+8)/4=

becomes: 26-3(16)/4=; multiply 3 x 16 = 48, use order of operations to divide 48/4=12. Then problem becomes: 26-12 = 14.

7 0

3 years ago

Convert the quadratic equation y = 2(x - 3)2 + 1 to standard form

nadya68 [22]

Answer:

4x-11

Step-by-step explanation:

6 0

3 years ago

Midpoint (24,-20), endpoint (16,-17)

inna [77]

Answer:

Endpoint = (32,-23)

Step-by-step explanation:

end point = (16,-17)

midpoint = 24,-20)

other point = (x,y)

(x + 16)/2 = 24

x + 16 = 24 * 2

x + 16 = 48

x + 16-16 = 48-16

x = 32

======================

(y - 17/2 = - 20

y - 17 = - 20 * 2

y - 17 = - 40

y - 17+17 = - 40 + 17

y = - 23

7 0

3 years ago

The planner needs a clearance of 9 feet under the arch has the planner met the minimum

BlackZzzverrR [31]

Yes, the planner has met the minimum height, as the minimum height was 9 feet and the maximum height of the arc is 9.6 feet

<h3>How to explain the information?</h3>

As we can see that at the mid value, for x=4, the value of f(x)=9.4

It means that the maximum height occurs at mid of the arc where it is height is 9.6 feet above the ground.

It means that the planner has met the minimum height, as the minimum height was 9 feet and the maximum height of arc is 9.6 feet

Learn more about height on:

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8 0

2 years ago

amanda like to knit hats and mittens for friends and family.last fall, she knitted 2 hats and 4 pairs of mittens, which which to

sdas [7]

Answer:

We now know that a hat takes 6 hours to knit and a pair of mittens take 9 hours to knit.

In total, it takes 15 hours to knit a hat and a pair of mittens.

Step-by-step explanation:

We can construct a system of equations to model this:

Let x represent hats and y represent mittens.

1. 2x + 4y = 48

2. 2x + 3y = 39 We can solve this system by elimination.

Mutliply equation 2, fully, by -1 to eliminate the x's.

2x + 4y = 48

-2x - 3y = -39 Now add the equations together.

y = 9 We can now substitute this into equation 1, or 2, to get the x value.

1. 2x + 4y = 48

2x + 4(9) = 48

2x + 36 = 48 Subtract 36 from both sides.

2x = 12 Divide both sides by 2.

x = 6

x represented the hats, and y represented the mittens, so we now know that a hat takes 6 hours to knit and a pair of mittens take 9 hours to knit.

In total, it takes 15 hours to knit a hat and a pair of mittens.

4 0

3 years ago