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Snowcat [4.5K]
2 years ago
9

Given that BCD and BCA form a straight angle, if BAC measures 40 degrees and BCD measures 75 degrees, then the measure of ABC is

___ degrees.

Mathematics
1 answer:
Irina-Kira [14]2 years ago
6 0

Answer:

∠ABC= 35°

Step-by-step explanation:

im not sure if u need explanation but comment if u do

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Work out the area of the trapezium ABDE.<br> B<br> 9 cm<br> 6 cm<br> 8 cm<br> →D<br> E
Evgen [1.6K]

Answer:

Area of the trapezium ABDE = 30 cm²

Step-by-step explanation:

Area of a trapezium = \frac{1}{2}(b_1+b_2)h

Here, b_1 and b_2 are the parallel sides of the trapezium

h = Distance between the parallel sides

From the picture attached,

ΔCAE and ΔCBD are the similar triangles.

So by the property of similarity their sides will be proportional.

\frac{AE}{BD}= \frac{CE}{CD}

\frac{9}{6}=\frac{CE}{8}

CE = \frac{9\times 8}{6}

CE = 12 cm

Therefore, DE = CE - CD

DE = 12 - 8 = 4 cm

Now area of trapezium ABDE = \frac{1}{2}(AE+BD)(DE)

                                                  = \frac{1}{2}(6+9)4

                                                  = 30 cm²

Therefore, area of the trapezium ABDE = 30 cm²

8 0
2 years ago
Given a right triangle with legs a, b and hypotenuse c, solve for a if b= 20 and c= 29
pantera1 [17]

Answer:

C) 21

Step-by-step explanation:

a² + 20² = 29²       Use Pythagorean Theorem to solve for a

a² + 400 = 841       Solve for the exponents

     - 400 - 400      Subtract 400 from both sides

a² = 441                  Take the square root of both sides

a = 21

8 0
2 years ago
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Answer: 19,415,000

I think

Step-by-step explanation:

Hope this helps!! :)

3 0
2 years ago
Help with inequalities
max2010maxim [7]

Answer:

2(b - 9) \geqslant 26

Step-by-step explanation:

difference of a number and 9 means to subtract

b - 9

twice that means multiply by 2

2(b - 9)

at least is greater than or equal to

2(b - 9) \geqslant 26

8 0
3 years ago
Will give brainliest.
Lady bird [3.3K]

Answer:

x=8

Step-by-step explanation:

Those angles are supplementary so:

140+5x=180

5x=40

x=8

4 0
3 years ago
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