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jek_recluse [69]
1 year ago
15

Find the values of the variables in the parallelogram. The diagram is not drawn to scale. (Image is attached below)thank you in

advance :)

Mathematics
1 answer:
irina1246 [14]1 year ago
4 0

For this problem, we are given a parallelogram with a diagonal drawn, inside it there are markings for a few angles. We need to determine the unknown angles.

Opposite sides of a parallelogram are parallel, this means we can treat the diagonal as a transversal line that crosses two parallel lines. Since this is the case, the angles 33º and xº are alternate interior angles and have the same length:

x=33º

The opposite angles in a parallelogram are congruent, therefore:

z=109º

The sum of internal angles is 360º, therefore we have:

\begin{gathered} 2\cdot109+2\cdot(x+y)=360\\ \\ 218+66+2y=360\\ \\ 284+2y=360\\ \\ 2y=360-284\\ \\ 2y=76\\ \\ y=38 \end{gathered}

The value of x is 33º, the value of y is 38º and the value of z is 109º.

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12a^2*b^4-36a^2*b+44abc
spayn [35]

Let's simplify step-by-step.

12a^2*b^4-36a^2*b+44abc=

There are no like terms.

Answer:

12a^2*b^4-36a^2*b+44abc=

5 0
2 years ago
Simplify by using order of operations: 4 + (9∙2) ÷ (4 - 1) - 4
Stella [2.4K]

Answer:

20

Step-by-step explanation:

Use <u>PEMDAS</u>

P = parenthesis

E = Exponents

M = Multiplication*

D = Division*

A = Addition**

S = Subtraction**

*either can come first, it just depends which comes first in the equation.

**either can come first, it just depends which comes first in the equation.

<em>Step 1 : Write equation</em>   4( 9 × 2 ) ÷ ( 4 -1 ) - 4

<em>Step 2: Solve in parenthesis   </em>4(18) ÷ (3) - 4

<em>Step 3: Solve multiplication   </em> 72 ÷ 3 - 4

<em>Step 4: Solve division               </em>24 - 4

<em>Step 5 : Solve subtraction</em>         20

3 0
3 years ago
Read 2 more answers
George weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does George weigh?
lyudmila [28]

Easy Algebra question!

Let's use "x" as a variable.

The equation would be x+x+60 = 240 with "x" being George's weight.

Subtract 60 from both sides and you get 2x = 180.

From there you divide both sides by 2, getting x=90.

"x" is George's weight, so he weighs 90 pounds.

ANSWER: 90 POUNDS

7 0
3 years ago
X/3+6-2x=-6 Please Help me I am stuck
nata0808 [166]

Answer:

x = 36/5

Step-by-step explanation:

Subtract 6 from both sides

x/3+6-2x-6 = -6-6

Simplify

x/3 - 2x = -12

Multiply both sides by 3

x/3 * 3 - 2x * 3 = -12 * 3

Simplify

-5x = -36

Divide both sides by -5

-5x/-5 = -36/-5

Simplify

x = 36/5

5 0
3 years ago
4 x 2/4 as a mixed fraction
aliina [53]

4 x 2/4

2/4 can be reduced to 1/2

Now you have 4 x 1/2

Multiply 4 by 1 then divide by 2:

4 x 1 = 4

4/2 = 2

The answer is 2

5 0
2 years ago
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