( 3 x 13 ) 2 ⋅ x − 11

Radda [10]

Step-by-step explanation:

<YOZ = 60°

When two lines intersect each other, then four angles are formed. The angles that are opposite to each other at the intersection point are known as vertically opposite angles. VERTICALLY OPPOSITE ANGLES ARE ALWAYS EQUAL.

If < VOX = 90⁰, then <VOW = 60⁰.

<VOW and <YOZ are vertically opposite angles.

6 0

2 years ago

Read 2 more answers

What is the area of trapezoid ABCD? A(-2,2) B(2,5) C(11,-7) D(1,-2)

Ksenya-84 [330]

Answer:

50 sq. units

Step-by-step explanation:

Join one diagonal of the trapezoid ABCD.

Assume that AC is the diagonal.

So, Area of the trapezoid = Area of Δ ABC + Area of Δ CAD.

Now, coordinates of A(-2,2), B(2,5), C(11,-7) and D(1,-2) are given.

We know, that three vertices of a triangle are $(x_{1},y_{1} )$ , $(x_{2},y_{2} )$ and $(x_{3},y_{3} )$ respectively, then the area of the triangle will be given by

$\frac{1}{2} |x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+ x_{3}(y_{1}-y_{2} ) |$

Hence, area of Δ ABC will be

$\frac{1}{2} |-2(5-(-7))+2(-7-2)+11(2-5)|= 37.5$ sq units.

Again, area of Δ CAD will be

$\frac{1}{2} |11(2-(-2))-2(-2-(-7))+1(-7-2)|= 12.5$ sq units.

Therefore, the area of the trapezoid ABCD will be (37.5 + 12.5) = 50 sq, units. (Answer)

4 0

4 years ago

Use Euler’s Formula to find the missing number. Faces: 15 Vertices: 11 Edges? a. 27 b. 24 c. 25 d. 23

eimsori [14]

Euler's formula for Vertices, Edges and faces is V-E+F = 2

Replace the letters with the given information and solve for the missing one.

From the problem V ( Vertices) = 11 and F (faces) = 15.

11 - E + 15 = 2

11 + 15 = 26

26 - E = 2

E = 26-2

E = 24

The answer is b. 24

7 0

3 years ago

line k has a slope of -5. line j is perpendicular to line k and passes though the point (5,9) create the equation for line j

Anna71 [15]

Answer:

y = 1/5x + 8

Step-by-step explanation:

The first thing you should know is that the slope of a perpendicular line is the opposite reciprocal. So, the slope of line j is 1/5. This is your current equation: y=1/5x + b. Plug in your coordinate to the equation, it should look like this: 9=1/5(5)+ b. 1/5 times 5 equals 1, so this is what it should look like: 9=1 + b. Subtract 1 from both sides to get 8 = b. Go back to your original equation and plug in 8 to b. This is your final equation: y = 1/5x + 8. Hope this helped!

3 0

3 years ago

In a certain herd of 24 elephants there are 13 males. How many females are

aleksklad [387]

C is your possible answer. You are trying to find how many females.

4 0

3 years ago