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stira [4]
3 years ago
7

If the measure of DAC is x and the measure of CAB is (2x – 30), what is the value of x? (HINT** remember how we label angles, th

ink about what type of angles these are)
a
60
b
40
c
75
d
15

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
6 0

Answer:

b

Step-by-step explanation:

∠ BAD = 90° and

∠ DAC + ∠ CAB = ∠ BAD, that is

x + 2x - 30 = 90

3x - 30 = 90 ( add 30 to both sides )

3x = 120 ( divide both sides by 3 )

x = 40 → b

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Let c = 10.Which expression makes the comparison true.
den301095 [7]

Answer:

c² - 63

Step-by-step explanation:

4c - 10 = 30

3c ÷ 3 = 10

c² - 63 = 37

c² ÷ 10 = 10

Since c² - 63 = 37 and c + 25 = 35, 37 is greater than 35 so it would make sense to choose c² - 63 as the answer.

c + 25 < 37

I hope this helps you :D

3 0
3 years ago
Estimate a 20% tip on a dinner bill of $161.86 by first rounding the bill amount to the nearest ten dollars.
MAXImum [283]

Answer:

See below

Step-by-step explanation:

<u>If you just want the tip</u>

<u />0.20*161.86\approx\frac{1}{5}*160=32

<u>If you want the total bill</u>

<u />1.20*161.86\approx160+32=192

7 0
2 years ago
Using the formula V = l × w × h, find the volume of a right rectangular prism when the length of the prism is 45 cm, the width i
user100 [1]

Answer:

The volume of the right rectangular prism is 5400 cubic centimeter.

Step-by-step explanation:

Given : The length of the prism is 45 cm, the width is 12 cm, and the height is 10 cm.

To find : The volume of a right rectangular prism ?

Solution :

The formula used is V=l\times w\times h

Where, l is the length of the prism l=45 cm

w is the width of the prism w=12 cm

h is the height of the prism h=10 cm

Substitute the value in the formula,

V=45\times 12\times 10

V=5400\ cm^3

Therefore, The volume of the right rectangular prism is 5400 cubic centimeter.

7 0
3 years ago
The low temperatures for a week in winter were -2° F, -15° F, -7° F, 1° F, -4° F, 5° F, 8° F. What was the average low
Novay_Z [31]

Answer: -2 F

Step-by-step explanation:

To find the average, or <em>mean, </em>of a data set, you must first combine all of the values in the set. Since some of these values are negative, it seems more difficult to solve. But it isn't. To find the mean of any data sets, you can find the absolute value of each numerical value. If you combine these regularly, it would be -15, but that is incorrect. The answer is -2 because some of the values may be negative, but you can find the answer easily. Just remember: To find the mean of data sets with negative values, you can find their absolute values, and solve from there. If this does not work for you, then find another solution. But the correct answer is -2 F.

3 0
3 years ago
Solve using the quadratic formula: <br><img src="https://tex.z-dn.net/?f=%20%7B3x%7D%5E%7B2%7D%20%20%2B%202%20%3D%206" id="TexFo
satela [25.4K]

Answer:

x = 2/3, -2/3

Step-by-step explanation:

Solve the equation for  x  by finding  a ,  b , and  c  of the quadratic then apply the quadratic formula.

7 0
3 years ago
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