Question 1:

Since this is an isosceles trapezoid angle J is equal to angle M

20x + 9 = 14x + 15

Subtract both sides by 14x and 9

6x = 6

Divide both sides by 6

x = 1

Plug this into 14x + 15 and 20x + 9

You get 29 degrees.

Now, multiply that by 2.

29 * 2 = 58

Subtract that from 360 to get the sum of angles K and L

360 - 58 = 302

Now, divide that by 2 since we know that angles K and L are congruent.

302 / 2 = 151

That's the measure for both angle K and L.

The first choice is your answer.

Question 2:

The diagonals of a rhombus are always perpendicular. That means angles 1, 2, and 3 are all equal to 90 degrees.

Although it may seem that we'll have to solve for x, y, and z. We really only need to solve for z.

For angle 2, we know that x + y = 90.

Now, let's solve for z.

30z = 90

Divide both sides by 30

z = 3

Now, add them all together

x + y + z
= 90 + 3
= 93

The first choice is your answer.

Question 3:

The diagonals of a rectangle are always congruent.

6x + 16 = 49

Subtract both sides by 16

6x = 33

Now, divide both sides by 6

x = 5.5

The last choice is your answer.

Have an awesome day! :)

5 0

2 years ago

The sales tax on clothing in Nebraska is 5.5%. Calculate how much tax you need to pay on a shirt if it costs $18.20 before tax.

maria [59]

Answer:

$1.00

Step-by-step explanation:

The tax rate in Nebraska = 5.5%

Cost of the shirt before tax = $18.20

Therefore:

Tax to be paid = 5.5% of $18.20

$=0.055 \times \$18.20\\=\$1.00 $(correct to the nearest cent)$

The amount you need to pay as tax is $1.00.

5 0

3 years ago

If P = (-1,-1), find the image

yawa3891 [41]

<h3>Answer: (-1, 1)</h3>

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Explanation:

The rotation rule we use is $(x,y) \to (y, -x)$

The x and y coordinates step places, then the second coordinate (after the swap) changes in sign from positive to negative, or vice versa.

For example, the point (5,7) rotates to (7, -5). As another example, (2,-1) becomes (-1, -2). As another example, (-9,4) becomes (4,9).

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In our case, the point (-1,-1) will rotate to (-1, 1)

Note: A 270 degree counterclockwise rotation about the origin is the same as a 90 degree clockwise rotation about the origin. Refer to the diagram below.

6 0

2 years ago

Can someone please help me with number 11

vazorg [7]

Here is the answer:
if you need step by step let me know

4 0

3 years ago

If the sum of two angles is 180°,then each is the___of the other​

If the sum of two angles is 180°,then each is the___of the other