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3 years ago

It’s a quadrilateral parallelogram. Solve for x

Mathematics

1 answer:

yan [13]3 years ago

4 0

4 sided shapes have internal angles that MUST add up to 360 degrees, so add all four angles to get 360 (opposite angles are equal) so:
8x + 19 + 8x + 19 + 21x - 13 + 21x - 13 = 360
Collect like terms so
58x + 12 = 360
58x = 348
x = 6

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A team of 5people to be selected from 7women & 6men. Find the number of different teams that could be selected if there must

vova2212 [387]

Answer:

1246 teams

Step-by-step explanation:

We are told there are 7women & 6men.

If 5 people are selected and there must be more women than men in the team.

This means there must be a minimum of 3 women.

Thus;

For 3 women;

7C3 × 6C2 = 525

For 4 women;

7C4 × 6C3 = 700

For 5 women;

7C5 × 6C0 = 21

Thus;

Total = 525 + 700 + 21 = 1246 teams

8 0

3 years ago

The sum of three odd consecutive numbers is fifty-one. What are the numbers?

Fantom [35]

Answer:

15,17,19

Step-by-step explanation:

Make an equation : $x+(x+2)+(x+4)=51$

Solve the equation: $3x+6=51$

$3x=51-6$

$3x=45$

$x=15$

Since x=15 then the second number is 17 and then 19

Hope this helps!

Stay Safe

7 0

4 years ago

A line that includes the point (3, 2) has a slope of 0. What is its equation in slope-intercept

Yanka [14]

Answer:

y=0x+2

Step-by-step explanation:

3 0

3 years ago

The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.

erastovalidia [21]

Answer:

<h3>The option B) is correct</h3><h3>Therefore the coordinate of B $(x_2,y_2)$ is (6,-3)</h3>

Step-by-step explanation:

Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).

<h3>To Find the coordinates of point B:</h3>

Let the coordinate of A be $(x_1,y_1)$ is (2,7) respectively
Let the coordinate of B be $(x_2,y_2)$
And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
The mid-point formula is

Now substitute the coordinates int he above formula we get
$(4,2)=(\frac{2+x_2}{2},\frac{7+y_2}{2})$
Now equating we get

$4=\frac{2+x_2}{2}$ $2=\frac{7+y_2}{2}$

Multiply by 2 we get Multiply by 2 we get

$4(2)=2+x_2$ $2(2)=7+y_2$

$8=2+x_2$ $4=7+y_2$

Subtracting 2 on both

the sides Subtracting 7 on both the sides

$8-2=2+x_2-2$ $4-7=7+y_2-7$

$6=x_2$ $-3=y_2$

Rewritting the above equation Rewritting the equation

$x_2=6$ $y_2=-3$

<h3>Therefore the coordinate of B $(x_2,y_2)$ is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>

7 0

4 years ago

-8p^4+12p^3+4p^4-8p^2+3p^2

Umnica [9.8K]

Answer:

-8p^4+12p^3+4p^4-8p^2+3p^2

=-8p^4+4p^4+12p^3-8p^2+3p^2

=-4p^4+12p^3-5p^2

=p^2(-4p^2+12p-5)

note: If you have to solve for X

there are steps according to formula

3 0

3 years ago