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sp2606 [1]
3 years ago
12

Point C is on line segment \overline{BD} BD . Given CD=x,CD=x, BC=5x-5,BC=5x−5, and BD=2x+7,BD=2x+7, determine the numerical len

gth of \overline{CD}. CD .
Mathematics
1 answer:
NARA [144]3 years ago
3 0

Answer:

CD = 3

Step-by-step explanation:

Given

CD = x

BC = 5x - 5

BD = 2x + 7

Required

Determine CD

Since, C is a point on BD, the relationship between the given parameters is;

BD = BC + CD

Substitute the values of BD, BC and CD

2x + 7 = 5x - 5 + x

Collect Like Terms

2x - 5x - x = -5 - 7

-4x = -12

Divide both sides by -4

\frac{-4x}{-4} = \frac{-12}{-4}

x = 3

To determine the length of CD;

Substitute 3 for x in CD = x

Hence;

CD = 3

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Fofino [41]
The answer would be, y=-x+2
3 0
3 years ago
If Marissa bakes 30 cookies every 15 minutes, how many cookies can Marissa make in 42 minutes?​
marissa [1.9K]

Answer:

84 cookies

Step-by-step explanation:

First, find the amount she bakes per minute. It is given that Marissa bakes 30 cookies every 15 minutes, or:

30 cookies/15 minutes = 2 cookies/minute.

Marissa bakes 2 cookies per minute. Multiply 2 with 42 minutes to find the total cookies baked in 42 minutes:

42 x 2 = 84

84 cookies is your answer.

~

7 0
2 years ago
Read 2 more answers
Trying to help my daughter can't figure this out.
adell [148]

Answer:

length = 20m

width = 16m

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

Firstly, I would assume that you made a unit error for the perimeter, which I would believe is meters.

With that, we can now make these statements:

Perimeter = 72m

Perimeter = 2l + 2w

therefore,

2l + 2w = 72

Since the question states the width is 4 meters less than the length, we can make this statement,

w = l - 4

We can now substitute this into the first statement we made, 2l + 2w = 72

2l + 2(l - 4) = 72

2l + 2l - 8 = 72

4l - 8 = 72

4l = 80

l = 20m

Using the second statement, w = l - 4, we can now find w,

w = 20 - 4

w = 16m

Therefore, the length is 20m and the width is 16m

4 0
3 years ago
what statement require's proof before it's acceptable as a true statement? ...... A. defined terms B. postulate .C. undefined te
DaniilM [7]

Answer:

D. Theorem

Step-by-step explanation:

6 0
2 years ago
GEOMETRY - NEED HELP - WILL MARK BRAINLIEST
Kay [80]

Answer:

1) 51

2) 0.8

3) cosecant

Step-by-step explanation:

Question 1

The image for this scenario is attached below. Note that base of the television tower forms the side adjacent to the angle and the length of the tower forms the side opposite to the angle. The two angles marked in image are equal because of the property of Alternate Interior Angles.

So,

Adjacent side = 120 feet

Opposite side = 150 feet

Tangent of an angle is defined as:

tan(\theta)=\frac{Opposite}{Adjacent}

Using the values, we get:

tan(\theta)=\frac{150}{120}\\\\ tan(\theta)=1.25\\\\ \theta = tan^{-1}(1.25)\\\\ \theta=51.34

Rounded to the nearest degree, the angle of depression would be 51 degrees.

Question 2)

We have to find the cosine of angle Z. cos is defined as:

cos(\theta) = \frac{adjacent}{hypotenuse}

The side adjacent to angle Z is 24 and the hypotenuse is 30. So cos(Z) would be:

cos(Z)=\frac{24}{30}\\\\cos(Z)=0.8

Therefore, value of cos(Z) for given triangle would be 0.8

Question 3

The opposite of sine ratio is known as cosecant which is abbreviated as csc

Since it is the opposite of sine ratio, it would be calculated as:

csc(\theta)=\frac{1}{sin(\theta)}

sine of angle is the ratio of opposite and hypotenuse, so csc would be ratio of hypotenuse to opposite side i.e.

csc(\theta)=\frac{hypotenuse}{opposite}

5 0
3 years ago
Read 2 more answers
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