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lubasha [3.4K]
3 years ago
7

Find the

Mathematics
2 answers:
irinina [24]3 years ago
6 0

Answer:

x = 32 degrees

Angle ABC (left one): 153 degrees

Angle CBD (right one): 27 degrees

Step-by-step explanation:

We know that the total angle will be 180 degrees, as it's a continuous straight line.

We can set the sum of our 2 angles equal to 180 degrees and solve for x.

(4x + 25) + (x - 5) = 180

4x + 25 + x - 5 = 180

4x + x + 25 - 5 = 180

5x + 20 = 180

5x = 160

x = 160/5 = 32

x = 32

Angle ABC:

4x + 25 = 4 * 32 + 25 = 128 + 25 = 153

153 degrees

Angle CBD:

x - 5 = 32 - 5 = 27

27 degrees

We can confirm this by adding the 2 angles together. We should get 180 degrees.

153 + 27 = 180

Checks out!

GenaCL600 [577]3 years ago
3 0

Answer:

X=32

Step-by-step explanation:

(4x+25)+(x-5)= 180

combine like terms

5x+20=180

    -20   -20

5x=160

divide each side by 5

x=32

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8 0
3 years ago
Help me please i dont understand it <br>​
Mekhanik [1.2K]

Answer:

6 u^4 v^2 (5 y^9 + 4 u^4 v^6)

Step-by-step explanation:

factoring basically means to take out the things that they have in common and put it outside of the parenthesis

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8 0
3 years ago
Three numbers a;b; 9; ... are in geometric sequence. If 1 is subtracted from the first term then
kenny6666 [7]

if a b 9 are in GP

b÷a = 9 ÷ b

b^2 = 9a

if a - 1 b 9 are in AP

2b = a+8

b = a+8÷2

substitute

b is equal to a + 8 by 2 in b square equal to 9 a

(a+8÷2)^2 = 9a

a^2+16a+64 = 36a

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(a-16) (a-4) =0

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6 0
3 years ago
$6 is what percent of $8?
iren2701 [21]
Hello there!
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3 0
3 years ago
Read 2 more answers
My Notes The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 1 4 cos(5t) where y
ikadub [295]

Answer:

y(0) = 0.25 feet

y(\frac{1}{4}) = 0.0789 \text{ feet}

y(\frac{1}{2}) =-0.2003 \text{ feet}

Step-by-step explanation:

We are given the following information in the question:

The displacement from equilibrium of an oscillating weight suspended by a spring =

y(t) = \displaystyle\frac{1}{4} \cos(5t)

where y is the displacement in feet and t is the time in seconds.

Here, cos is in radians.

1) t = 0

y(0) = \displaystyle\frac{1}{4} \cos(5(0)) = \frac{1}{4} \cos(0) = \frac{1}{4}(1) = \frac{1}{4}

y(0) = 0.25 feet

2) t = \frac{1}{4}

y(\displaystyle\frac{1}{4}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{4})) = \frac{1}{4} \cos(1.25) = \frac{1}{4}(0.31532236) =0.07883059

y(\frac{1}{4}) = 0.0789 \text{ feet}

3) t = \frac{1}{2}

y(\displaystyle\frac{1}{2}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{2})) = \frac{1}{4} \cos(2.5) = \frac{1}{4}(-0.80114362) = -0.200285905

y(\frac{1}{2}) =-0.2003 \text{ feet}

The negative sign indicates the opposite direction of displacement.

3 0
3 years ago
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