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Crank
3 years ago
5

I need help to find W =

Mathematics
2 answers:
stealth61 [152]3 years ago
7 0

Answer:

w = 120 degrees

Step-by-step explanation:

ABCD and FECG are the same shapes, which means they also have the same angles.

∠A = ∠F

∠B = ∠E

∠C = ∠C

∠D = ∠G

∠G = 120°, so D = 120°

So, w = 120°

Anika [276]3 years ago
5 0

Answer:

120

Step-by-step explanation:

Since the figures are similar the angles are the same

<A = <F

<B = <E

<C = <C

<D = <G

We know <G = 120 so angle D = 120

W = <D = 120

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A segment has an endpoint at (1,−2). The midpoint is at (−4,−2). What are the coordinates of the other endpoint?
vodka [1.7K]

Answer:

The other midpoint is located at coordinates (-9,-2) (Second option)

Step-by-step explanation:

<u>Midpoints</u>

If P(a,b) and Q(c,d) are points in \mathbb{R} ^2, the midpoint between them is the point exactly in the center of the line that joins P and Q. Its coordinates are given by

\displaystyle x_m=\frac{a+c}{2}

\displaystyle y_m=\frac{b+d}{2}

We are given one endpoint at P(1,-2) and the midpoint at M(-4,-2). The other endpoint must be at an equal distance from the midpoint as it is from P. We can see both given points have the same value of y=-2. This simplifies the calculations because we only need to deal with the x-coordinate.

The x-distance from P to M is 1-(-4)=5 units. This means the other endpoint must be 5 units to the left of M:

x (other endpoint)= - 4 - 5 = - 9

So the other midpoint is located at (-9,-2) (Second option)

5 0
3 years ago
6 ice cream cones cost $10. How much will 9 cost?
jek_recluse [69]

Answer:

15 dollars

Step-by-step explanation:

We can write a ratio to solve

6 cones         9 cones

------------   = --------------

10 dollars       x dollars

Using cross products

6*x = 10 *9

6x = 90

Divide each side by 6

6x/6 = 90/6

x = 15

8 0
3 years ago
GR5_Math_U7_FS
Nutka1998 [239]

Answer:

4/6 of a pizza.

Step-by-step explanation:

We know that:

Both pizzas are of the same size.

Jasmine cut her's into 12 slices.

Kelly cut her's into 6 slices, and ate 2 slices, then Kelly ate 2/6 of a pizza.

Jasmine ate X of a pizza, and we know that between them ate a total of 1 pizza.

This means that:

X of a pizza + 2/6 of a pizza = 1 pizza

X + 2/6 = 1

X = 1 - 2/6

X = 6/6 - 2/6 = 4/6

Jasmine ate 4/6 of a pizza, knowing that she cut her's into 12 slices, this would mean that she ate 8/12 of a pizza, or 8 slices.

5 0
3 years ago
A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the
Vedmedyk [2.9K]

Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

<u><em>Step(ii):-</em></u>

Area of the rectangle = length × width

                                  = x ( x-3)

Given that the area of the rectangle = 70 square feet

                       x ( x-3) = 70

              ⇒   x² - 3x - 70 =0

              ⇒  x² - 10 x + 7 x - 70 =0

             ⇒  x (x -10) +7( x-10) =0

            ⇒ ( x+7) ( x-10) = 0

           ⇒  x =-7 and x=10

<u><em>Final answer:</em></u>-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

8 0
3 years ago
In △ABC, ∠C is a right angle and sinB=725.
scoundrel [369]

9514 1404 393

Answer:

  A  7/25

Step-by-step explanation:

The cosine of an angle is equal to the sine of its complement. In a right triangle, angle A is the complement of angle B. So, ...

  cos(A) = sin(B)

  cos(A) = 7/25

8 0
2 years ago
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