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3 years ago

Can somone help me with this 1 problem? QRST is a parallelogram. Determine the measure of ∠Q

1 answer:

3 0

(In the picture, QRST looks like a rhombus, so I will assume that it is a rhombus.)

In a rhombus, opposite angles are congruent based on the alternate interior angle theorem. In other words, R and T along with Q and S are both alternate interior angle pairs.
(You can actually test this by printing out a rhombus, cutting out the angles, and matching up the opposite ones.)

We know that Q is equal to 4x + 10, but we need to solve for x. Since Q and S are congruent, we can set them equal to each other:
1) 4x + 10 = 5x - 3
2) 4x + 13 = 5x
3) 5x = 4x + 13
4) x = 13
Now let's plug 13 in for Q:
5) 4(13) + 10 = 52+10 = 62

I got m<Q = 62 degrees. Hope this helps!

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Setler79 [48]

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3 years ago

Use complete sentences to describe why Set A = { X | X is an even whole number between 0 and 2} = ∅

RoseWind [281]

Consider the Set A = {X | X is an even whole number between 0 and 2 } = $\Phi$ .

Since, whole numbers are the set of numbers starting from zero upto infinity.

Even numbers are the numbers which are exactly divisible by '2'.

So, we have to find the even whole number between 0 and 2.

Since, only '1' is a whole number between 0 and 2 which is not an even number as '1' is not divisible by '2'.

Therefore, there is no even whole number between 0 and 2.

So, this set is empty.

Therefore, A = { X | X is an even whole number between 0 and 2} = $\Phi$

3 0

3 years ago

Read 2 more answers

Help T-T plz (14 points)

olganol [36]

Answer:

The answer is 10.5 or 10 1/2

Step-by-step explanation:

1) A=LxW

2) the height is given but you do not have the width So Divide.

3) first turn the fraction into decimals

H= 12 1/4= 12.25

A= 128 5/8= 128.625

4) 128.625 divided by 12.25 Give you 10.5

5) you can change 10.5 into a fraction 10 1/2

hopes this helps.

8 0

3 years ago

Polly buys 14 cupcakes for a party. The bakery puts them into boxes that hold 4 cupcakes each.

Temka [501]

Answer:

Part a) The number of boxes needed will be 4

part b) The fraction of the box that is empty is $\frac{1}{2}$

Part c) Are needed 2 cupcakes to fill the last box

Step-by-step explanation:

Part a) How many boxes will be needed for Polly to bring all the cupcakes to the party?

To find out the number of boxes needed, divide the total number of cupcakes by 4 (maximum number of cupcakes that fit in each box).

$\frac{14}{4}=3.5\ box$

Round up

The number of boxes needed will be 4

Part b) If the bakery completely fills as many boxes as possible, what fraction of the last box is empty?

we know that

The maximum number of cupcakes per box is 4

The first three boxes have 4 cupcakes

The last box has

$14-3(4)=2\ cupcakes$

The fraction of the box that is empty is equal to the number of cupcakes missing to fill the box divided by the cupcake capacity of the box

$\frac{2}{4}=\frac{1}{2}$

Part c) How many more cupcakes are needed to fill this box

Subtract the number of cupcakes in the box from the cupcake capacity of the box

The last box has 2 cupcakes

The cupcake capacity of the box is 4

$4-2=2\ cupcakes$

therefore

Are needed 2 cupcakes to fill the last box

8 0

3 years ago

Amanda, Barney, Colin, Diana, and Erika are going to a baseball game. They have a total budget of $100.00 to spend. Each game ti

lubasha [3.4K]

Answer:

The 5 is for the 5 people who are going to the baseball game.

5 0

3 years ago