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larisa86 [58]
3 years ago
13

If the measure of angle CBD is 5(7x + 15) degrees, then what is the value of x. (Angle CDB is 180)

Mathematics
1 answer:
svetoff [14.1K]3 years ago
3 0

Answer:

\huge\boxed{\sf x = 3 }

Step-by-step explanation:

<u>If the measure of :</u>

∠CBD = 5 ( 7x + 15 )

<u>Also,</u>

∠CBD = 180°

<u>Then,</u>

5 (7x + 15) = 180

35x + 75 = 180

Subtract 75 to both sides

35x = 180 - 75

35x = 105

Divide both sides by 35

x = 105 / 35

x = 3

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
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Find the sine of Write your answer in simplified, rationalized form. Do not round.<br> Please help!!!!!
erma4kov [3.2K]

Answer:

Sin (E) = √74/(2√23)

Step-by-step explanation:

Reference Angle = E

Hypotenuse = 2√23

Adjacent = 3√2

Opposite = DC = √(2√23)² - (3√2)²) = √(4*23 - 9*2) = √(92 - 18) = √74 (pythagorean theorem)

Recall SOHCAHTOA.

Thus,

Sin (E) = opp/hyp

Sin (E) = √74/(2√23)

6 0
3 years ago
Alguien puede ayudarme
AleksandrR [38]

Answer:

8

Step-by-step explanation:

simplemente encuentre el total de los 8 pagos. Hay 8 pagos ya que habrá 8 retiros totales: (2 años) × (cuatro retiros por año) = 8 retiros.

3 0
4 years ago
A deep sea diving bell is being lowered at a constant rate. After 10 ​minutes, the bell is at a depth of 600 ft. After 40 minute
Degger [83]
<h2>Average rate of lowering per​ minute = 36.67 ft/min</h2>

Step-by-step explanation:

After 10 ​minutes, the bell is at a depth of 600 ft

After 10 minutes

                   Depth of bell = 600 ft

After 40 minutes the bell is at a depth of 1,700 ft.

After 40 minutes

                   Depth of bell = 1700 ft

Time gap = 40 - 10 = 30 minutes

Depth fallen = 1700 - 600 = 1100 ft

We have

           Depth fallen = Average rate of lowering per​ minute x Time gap

           1100 = Average rate of lowering per​ minute x 30

           Average rate of lowering per​ minute = 36.67 ft/min

7 0
3 years ago
Bijou has $72 in her savings account and plans to save $x each month for 8 months. The expression $8x+$72 represents the total a
AfilCa [17]

Answer:

 The total money in account after 8 months is $72 + $8 x

Step-by-step explanation:

Given as :

Total money available in saving account = $72

The money saves each month in account = $x

So, The money saves in account after 8 months = $x × 8 = $8 x

Let The total money in account after 8 months = $A

Or, A = money available in saving account +  money saves in account after 8 months

i.e A = $72 + $8 x

So, The total money in account after 8 months = A =$72 + $8 x

Hence,  The total money in account after 8 months is $72 + $8 x  Answer

4 0
4 years ago
Austin borrowed money from a credit union for 4 years and was charged simple interest at an annual rate of 5% the total interest
Reika [66]

Given:

Rate of simple interest = 5%

Time = 4 years

Total interest = $160

To find:

The amount borrowed by Austin from a credit union.

Solution:

The formula for simple interest is:

I=\dfrac{P\times r\times t}{100}

Where, P is principal, r is the rate of interest and t is the number of years.

Putting I=160,r=5,t=4 in the above formula, we get

160=\dfrac{P\times 5\times 4}{100}

160=\dfrac{20P}{100}

160=\dfrac{P}{5}

Multiply both sides by 5.

800=P

Therefore, Austin borrowed $800 from a credit union for 4 years.

8 0
3 years ago
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