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2 years ago

Which triangles are congruent by ASA?

Mathematics

1 answer:

erma4kov [3.2K]2 years ago

8 0

<span>Triangle HGF and triangle ABC
</span>

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I need help with this problem. Given: BC = 10 inches AC = √50 inches m∠CBD = 60° m∠CAD = 90° Calculate the exact area of the sha

Nikitich [7]

Answer:

Area of the shaded region = 23.33 in²

Step-by-step explanation:

Area of a sector = $\frac{\theta}{360}(\pi r^{2})$

Where θ = Central angle subtended by an arc

r = radius of the circle

Area of the sector BCD = $\frac{60}{360}(\pi) (10^{2})$

= 52.36 in²

Area of equilateral triangle BCD = $\frac{\sqrt{3} }{4}(\text{Side})^2$

= $\frac{\sqrt{3} }{4}(10)^2$

= $25\sqrt{3}$ in²

= 43.30 in²

Area of the shaded portion in ΔBCD = 52.36 - 43.3

= 9.06 in²

Area of sector CAD = $\frac{90}{360}(\pi)(\sqrt{50})^2$

= 39.27 in²

Area of right triangle CAD = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(\text{AC})(\text{AD})$

= $\frac{1}{2}(\sqrt{50})(\sqrt{50})$

= 25 in²

Area of the shaded part in the ΔACD = 39.27 - 25

= 14.27 in²

Area of the shaded part of the figure = 9.06 + 14.27

= 23.33 in²

8 0

2 years ago

Answer dis please- Thanks

hodyreva [135]

Answer:

Since we know that ABCD ~ EFGH, we have the ratios:

EF/AB = GH/CD

=> 0.4/1.2 = x/1.8

=> x = (1.8 . 0.4)/1.2 = 0.6

So x = 0.6

8 0

2 years ago

A bag contains 48 balls

FrozenT [24]

Answer:

25 Balls

Step-by-step explanation:

6 0

2 years ago

What is 8 and 21/40 in decimal form? If don't uderstamd what is 8 and 21 over 40 in decimal form? Plz help thx✌️

Marrrta [24]

It is 8.525. what u do is 21÷40 and get .525 and then u add the 8 in the front and get 8.525

4 0

3 years ago

1) What is the distance between (4.3)<br> and (3,-2)?

NemiM [27]

Answer:

Step-by-step explanation:

Distance = (x2 - x1) ² + (y2 - y1)²

Distance = ( 3-4)² + (-2-3)²

Distance = 26

6 0

3 years ago