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3 years ago

Given that ZBCD and ZBCA form a straight angle, if ZABC measures 55

Mathematics

1 answer:

a_sh-v [17]3 years ago

7 0

Answer:

Angle BAC is 5 degrees.

Step-by-step explanation:

It's easiest if you just annotate you diagram as you find each angle. You can do this in lots of different ways, but this is how i got there.

So to find BAC, you need to find ABC and BCA. After you find these two, its just a matter of subtraction, which is simple.

We already know ABC = 55 degrees.

So now we have to find BCA:

1) They told us that BCD is 60 degrees and that its sitting on a straight line

2) From this we can find that BCA is 120 degrees, because a straight line is 180 degrees. 180 -60 = 120 degrees.

Now that we have both ABC and BCA, we can find BAC:

1) The angles of all triangles add up to 180 (idk why, its just how it is)

2) So, if we do 180 - BCA - ABC, we should get BAC

3) So, 180 - 55 - 120 = 5 degrees

Sorry if the explanation was really long, its a bit weird to explain it all in words. Hope it helped : )

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Surface area of hemisphere with diameter of 18

saul85 [17]

Answer:

In terms of pi: 243 $\pi$

in decimal form: 763.407

Step-by-step explanation:

to find surface area of a hemisphere the formula is,

$3\pi r^{2}$

diameter (d) = 18

radius = d / 2 = 18 / 2

radius = 9

$3\pi (9)^{2} \\3\pi (81)\\243\pi \\OR\\763.407$

6 0

1 year ago

A ski rental store rents a pair of skis for $44 a day and a snowboard for $58 a day. Yesterday, the store made $2,232 on ski and

Katen [24]

First, let the number of skis rented by x and the number of snowboards rented by y. We can then assemble the first equation from the amount of money made from the rentals.

44x + 58y = 2232

The second equation can come from the fact that 9 more skis were rented than snowboards.

y = x - 9

Therefore our system is:

44x + 58y = 2232

y = x - 9

3 0

3 years ago

If $120.99 is charged for 654 units of electricity

pochemuha

Answer:

The cost of one unit of electricity is $0.185

Step-by-step explanation:

Amount charged = $120.99

Units of electricity used = 654

The cost of a unit of electricity can be determined by dividing the amount charged by the number of units used.

So that,

cost of one unit of electricity = $\frac{120.99}{654}$

= 0.185

cost of one unit of electricity = $0.185

This implies that the cost of electricity used is charged at $0.185 per unit.

Thus for 654 units of electricity used, the cost would be;

654 x $0.185 = $120.99

7 0

3 years ago

Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ

Free_Kalibri [48]

Answer:

y = -2x - 2

Step-by-step explanation:

From the graph attached,

If the line 'l' passes through two points A(0, -1) and B(4, 1).

Rule for the rotation of any point (x, y), 90° clockwise about the origin is,

(x, y) → (y, -x)

By this rule,

A(0, -1) → A'(-1, 0)

B(4, 1) → B'(1, -4)

Let the equation of the line A'B' is,

y - y' = m(x - x')

where m = slope of the line A'B'

And (x', y') is a point lying on the line.

Slope of the line passing through A' and B' will be,

m = $\frac{y_2-y_1}{x_2-x_1}$

m = $\frac{0+4}{-1-1}$

m = -2

Therefore, equation of the line passing through (-1, 0) and slope = -2,

y - 0 = (-2)(x + 1)

y = -2x - 2

So the equation of the line after rotation of lie 'l' by 90° clockwise will be,

y = -2x - 2

7 0

3 years ago

PLSSSSSS HELPPPPPPP FAST WILL GIVE BRAINLIEST IF CORRECT!!

Furkat [3]

Answer

It's D

Step-by-step explanation:

8 0

3 years ago