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3 years ago

Angle sum theorem. X=?

Mathematics

1 answer:

Evgen [1.6K]3 years ago

4 0

Answer:

x = 125

Step-by-step explanation:

All triangle interior angles add up to 180 so:

x + 25 + 30 = 180

x + 55 = 180

x = 180 - 55

x = 125

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If each quadrilateral below is a parallelogram,find the missing measures.

zhenek [66]

Answer:

Part 1) $MN=31\ units$

Part 2) $KN=45\ units$

Part 3) m∠K=61°

Part 4) m∠L=119°

Part 5) m∠M=61°

Step-by-step explanation:

we know that

In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary

Part 1) Find the side MN

we know that

MN≅KL ----> by opposite sides

we have

$KL=31\ units$

therefore

$MN=31\ units$

Part 2) Find the side KN

we know that

KN≅LM ----> by opposite sides

we have

$LM=45\ units$

therefore

$KN=45\ units$

Part 3) Find the measure of angle K

we know that

m∠K+m∠N=180° ----> by consecutive interior angles

we have

m∠N=119°

substitute

m∠K+119°=180°

m∠K=180°-119°

m∠K=61°

Part 4) Find the measure of angle L

we know that

m∠L≅m∠N ----> by opposite angles

we have

m∠N=119°

therefore

m∠L=119°

Part 5) Find the measure of angle M

we know that

m∠M≅m∠K ----> by opposite angles

we have

m∠K=61°

therefore

m∠M=61°

7 0

4 years ago

Which of the following is a solution of the equation -5x + 2 = -13: answers: x=-9, x=75 x=3 x=-3

slamgirl [31]

Answer:

x= 3

Step-by-step explanation:

1. -5(3) + 2 = -13

2. -15 + 2 = -13 A positive times a negative will always equal a negative

3. -13 = -13 Whenever you add anything to a negative number, the

number becomes smaller

Ex: -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, ...........

Although the number itself becomes smaller, its value

becomes bigger

Hope this helps.

7 0

3 years ago

Determine the volume of the rectangular prism.

Flauer [41]

Answer:

Step-by-step explanation:

We know the formula for a rectangular prism is length × width × height

We also know all the sides so we can rewrite the formula replacing variables.

The length is 8, the width is 2 $\frac{1}{2}$ and the height is 2 $\frac{1}{2}$

8 × 2 $\frac{1}{2}$ × 2 $\frac{1}{2}$

Multiply which ever way is easy for you. I am just multiplying from left to right.

8 × 2 $\frac{1}{2}$ = 20

20 × 2 $\frac{1}{2}$ = 50

Now we get 50. Before we put our answer as 50, there are two more steps.

First we need to add the measurement unit which is feet or ft

We also need to add ³ since it is volume

50 ft³ is our final answer

7 0

3 years ago

0.5 ft

algol13

Answer:

Huh I don’t understand this one but I got you

Step-by-step explanation:

5 0

3 years ago

Pls help thank you so much

Rudik [331]

Answer:

Step-by-step explanation:

You can start by "filling up" all of the bigger boxes. 75*14=1050 cupcakes, which when subtracted from the total initial amount leaves 400 cupcakes for the smaller boxes. The smallest multiple of 13 smaller than 400 is 390, which is 10 smaller than 400. Therefore, there will be 10 cupcakes left over, or answer choice C. Hope this helps!

8 0

4 years ago

Read 2 more answers