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2 years ago

The figure is a parallelogram. Solve for x.

Mathematics

1 answer:

lions [1.4K]2 years ago

4 0

Answer:

x = 7

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary.

$\therefore \: (14x + 2) \degree + 80 \degree = 180 \degree \\ \\ \therefore \: (14x + 2) \degree = 180 \degree - 80 \degree \\ \\ \therefore \: (14x + 2) \degree = 100 \degree \\ \\ 14x + 2 = 100 \\ 14x = 100 - 2 \\ \\ 14x = 98 \\ \\ x = \frac{98}{14} \\ \\ x = 7$

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2 years ago

Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.

faust18 [17]

Answer:

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2 years ago

Which equation requires the division property of equality to be solved?

Ymorist [56]

Answer:

A. 201.6 = 11.2f

Step-by-step explanation:

we solve for each unknown to verify which equality will require the division property:

#A. 201.6 = 11.2f

$201.6=11.2f\\\\f=\frac{201.6}{11.2}=201.6\div 11.2\\\\=18$

Hence, division property used.

#B. 35.4=Z ÷ 3.1

$35.4=Z\div 3.1\\\\35.4=\frac{Z}{3.1}\\\\Z=35.4\times 3.1\\\\=109.74$

Hence, multiplication property used.

#C. t/3.2=15.1

$\frac{t}{3.2}=15.1\\\\t=15.1\times 3.2\\\\=48.32$

Hence, multiplication property used.

#D. 201.6 = 11.2+c

$201.6=11.2+c\\\\201.6-11.2=c\\\\c=190.4$

Hence, subtractionproperty used.

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3 years ago

Read 2 more answers

of the 50 students in the cafeteria, 7 have red hair. If there are 750 students in the school, predict the number of students wh

Anna007 [38]

Answer:

105 students

Step-by-step explanation:

7/50 = x/750

(7 * 750)/50 = 5250/50

= 105

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2 years ago

Quadrilateral OPQR is inscribed inside a circle as shown below. Write a proof showing that angles O and Q are supplementary

denis-greek [22]

As anoutline, angles O and Q are inscribed angles which are measured by one-half of its intercepted arc.
angle O = 1/2 arc RQP
angle Q = 1/2 arc ROP

so arcs RQP and ROP together make up the entire circle which has 360 degrees.

so angles O and Q is 1/2 (360) = 180 degrees (supplementary angles).

6 0

2 years ago