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2 years ago

Tell me how you got the it

Mathematics

1 answer:

stich3 [128]2 years ago

6 0

Answer:

x° = 67°

Step-by-step explanation:

1. The first three diagrams are showing you that opposite exterior angles are congruent. Based on that, when you are faced with opposite exterior angles in the fourth diagram, you are able to conclude they are congruent. That means x° = 67°.

2. You can determine the other angles in the figure based on linear angles being supplementary, and same-side interior angles being supplementary. After you work through all the angles, you find that x = 67.

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GCSE 995381

nikdorinn [45]

Answer:

$2.9 cm^2$

Step-by-step explanation:

Given,

Angle of sector = 30°

Radius of circle, r = 8 cm

Area of the shaded region, A =?

The diagram is attached below.

Now,

Area of shaded region = Area of sector - Area of triangle

Area of triangle = $\frac{1}{2}\times base \times height$

We know that,

$\sin \theta = \dfrac{P}{H}$

$\sin 30^\circ= \dfrac{P}{8}$

$P = \dfrac{8}{2}$

$P = 4\ cm$

And

$\cos \theta =\dfrac{B}{H}$

$\cos 30^\circ = \dfrac{B}{8}$

$B = \dfrac{8\times \sqrt{3}}{2}$

$B = 4\sqrt 3$

Area of sector = $\dfrac{\theta}{360^\circ}\times \pi r^2$

Area of sector = $\dfrac{30^\circ}{360^\circ}\times \pi \times 8^2$

= 16.75 cm^2

Area of triangle = $\dfrac{1}{2} \times 4\sqrt 3 \times 4$

= 13.85 cm^2

Area of shaded region = 16.75 - 13.85

= $2.9 cm^2$

7 0

2 years ago

A. y ≤ 3x +2

Lapatulllka [165]

C) I think you know the increasing line is the one with 3*x and the other one is -2*x, then the dotted line requires <, instead of <=, the rest I'm sure you can figure out.

Let me know if you need more explanation, but it's to make sure next time you answer someone, instead of asking! :)

8 0

2 years ago

BRAINLIEST IF CORRECT Historians estimate that there were about 7 million people on earth in 4,000 BCE. Now there are about 7 bi

tamaranim1 [39]

Answer:

100 times more

Step-by-step explanation:

if you multiply 7,000,000 by 1000 you get 7,000,000,000

7 0

2 years ago

Eric has 4 lb of blueberries to make into pie. How many pies can Eric make if each pie needs the given amount of blueberries.

77julia77 [94]

Answer:

2 pies because you need 2 lb for each pie

Step-by-step explanation:

8 0

2 years ago

EXPERT HELP I'LL GIVE BRAINLIEST:

timurjin [86]

Answer:

990, C

Step-by-step explanation:

The formula for the surface area of the bottom cushion is

A = 2wl + 2lh + 2hw (w is width, l is length, h is height)

w = 18, l = 21, h = 3

A = 2(18)(21) + 2(21)(3) + 2(3)(18)

A = 2(378) + 2(63) + 2(54)

A = 756 + 126 + 108

A = 990 (C)

7 0

2 years ago

Read 2 more answers