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larisa86 [58]
3 years ago
6

Find values of x and y for which ABCD must be a parallelogram. The diagram is not to

Mathematics
1 answer:
Arturiano [62]3 years ago
7 0
3x - 14 = x + 2
- x         - x
2x - 14 = 2
    + 14 + 14
       2x = 16
        2      2
         x = 8

4y - 7 = y + 11
- y       - y
3y - 7 = 11
    + 7  + 7
      3x = 18
       3      3
       x = 6
 (x, y) = (8, 6)

The answer is D.
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Evgesh-ka [11]

133 is the Answer bc that is a supplementary angle and supplementary angles always sum up to 180 hope this helps please mark brainliest

Step-by-step explanation:

5 0
3 years ago
Help ASAP! 20 Points!
ANTONII [103]

Volume of cylinder is 3 times of volume of cone having same base diameter and same height.

<u>Solution:</u>

Given that  

A cylinder and A cone have the same diameter = 10 inches and same height = 12 inches

Need to find the relationship between volume of cylinder and cone.

Let’s calculate volume of each object separately first.

<em><u>Calculation of volume of cylinder :</u></em>

Formula of volume of cylinder is given as:

V_{c y}=\pi r^{2} h

Where π=3.14

\text { radius } r=\frac{\text {diameter}}{2}=\frac{10}{2}=5 \text { inches }

height h = 12 inches  

On substituting given values in formula of cylinder we get

\begin{array}{l}{V_{c y}=3.14 \times 5^{2} \times 12=942 \text { cubic inches }} \\\\ {\text { Volume of cylinder }=V_{c y}=942 \text { cubic inches }}\end{array}

<em><u>Calculation of volume of cone:</u></em>

Formula of volume of cone is given as:

V_{c o}=\frac{\pi r^{2} h}{3}

Here π=3.14

\begin{array}{l}{\text { radius } r=\frac{\text { diameter }}{2}=\frac{10}{2}=5 \text { inches }} \\\\ {\text { height } \mathrm{h}=12 \text { inches }}\end{array}

On substituting given values in formula of cone we get

V_{c o}=\frac{3.14 \times 5^{2} \times 12}{3}=314 \text { cubic inches }

\text { Volume of cone }=V_{c o}=314 \text { cubic inches }

On comparing the two volumes we get  

V c y: V c o=942: 314=3: 1

Hence can conclude that Volume of cylinder is 3 times of volume of cone having same base diameter and same height.

8 0
3 years ago
Solve the following system of equations
GrogVix [38]

Answer:

Step-by-step explanation:

y = x - 5

2x - 5y = 1

2x - 5(x - 5) = 1

2x - 5x + 25 = 1

-3x + 25 = 1

-3x = -24

x = 8

y = 8 - 5

y = 3

(8, 3)

4 0
3 years ago
The table below shows the function f.
Dmitriy789 [7]

Answer:

A. 11

Step-by-step explanation:

The average rate of change of the given function over the interval [2,6] is simply the slope of the secant line connecting the point (2,f(2)) and (6,f(6)).

This implies that, the average rate of change over [2,6]

=\frac{f(6)-f(2)}{6-2}

=\frac{f(6)-f(2)}{4}

From the table f(6)=71

Since we want the average rate of change to be 15, we have;

15=\frac{71-f(2)}{4}

This implies that;

4\times15=71-f(2)

60=71-f(2)

60-71=-f(2)

-11=-f(2)

11=f(2)

The correct choice is A.

7 0
3 years ago
Read 2 more answers
How many times does 2/3 go into 7 1/3
FinnZ [79.3K]

Answer:

11

Step-by-step explanation:

7 1/3 ÷ 2/3 = 11

(please give brainliest)

3 0
3 years ago
Read 2 more answers
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