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Sever21 [200]
3 years ago
14

Angle ABD is 90°.

Mathematics
2 answers:
yarga [219]3 years ago
7 0

Answer:

answer is 54. Since angleABD - angleCBD = angleABC

THEREFORE,. 90-36

Maksim231197 [3]3 years ago
6 0

Answer:

a

Step-by-step explanation:

368

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Solve for all values of x in simplest form. 9-4|3+5x|=5
Zinaida [17]

Answer:

x=-2/5\text{ or } x=-4/5

Step-by-step explanation:

So we have the equation:

9-4|3+5x|=5

First, subtract 9 from both sides:

-4|3+5x|=-4

Divide both sides by -4:

|3+5x|=1

Definition of Absolute Value:

3+5x=1\text{ or } 3+5x=-1

Subtract 3 from both sides:

5x=-2\text{ or } 5x=-4

Divide both sides by 5:

x=-2/5\text{ or } x=-4/5

And we're done!

5 0
3 years ago
Read 2 more answers
A jar has 570 marbles of different colors.The ratio of red to blue marbles are 2:3 and red to green is 4:5.how many marbles of e
iVinArrow [24]

Answer:

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

Step-by-step explanation:

Let x be the number of red marbles, y be the number of blue marbles and z be the number of green marbles.

It is given that the total marbles = 570.

Therefore, x + y + z = 570 --- (1)

It is also given that the ratio of red to blue marbles is 2 : 3.

Therefore, x : y = 2 : 3

or 3x = 2y --- (2)

It is also given that the ratio of red to green marbles is 4 : 5.

Therefore, x : z = 4 : 5

or 5x = 4z --- (3)

From (2), y=\frac{3x}{2}

From (3), z=\frac{5x}{4}

Substituting the above in (1), we get,

x+\frac{3x}{2} +\frac{5x}{4} =570

Multiply both sides by 4.

4x + 6x + 5x = 2280

15x = 2280

Divide both sides by 15.

x = 152

Hence,

y = \frac{3(152)}{2}

y = 228

z = \frac{5(152)}{4}

z = 190

Therefore,

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

<u>Check:</u>

Total number of marbles = 152 + 228 + 190 = 570

Ratio of red to blue marbles = 152 : 228 = 2 : 3

Ratio of red t green marbles = 152 : 190 = 4 : 5


8 0
3 years ago
Let f(x) = 5x +7 and g(x) = x-1 . Find f(g(x))
Bogdan [553]

Answer:

f(g(x))=5×(x-1)+7=5x-2

6 0
3 years ago
Which fraction set is equivalent to 5/6 ÷ 7?
Ymorist [56]
10/12 = 15/18 = 20/24
4 0
3 years ago
Patrick starts hiking at an elevation of -418 feet. He ascends to an elevation of 387 feet and then descends to an elevation 94
const2013 [10]
-456 Feet is the answer
6 0
3 years ago
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