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katovenus [111]
3 years ago
6

3. CDEF is a parallelogram. Find m2C

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0

Answer:

m<C = 56°

m<D = 124°

Step-by-step explanation:

Of CDEF is a parallelogram then the sum of angle m<C and angle m<D must be equal to 180°

4x + 28 + 17x + 5 = 180 add like terms

21x + 33 = 180 subtract 33 from both sides

21x = 147 divide both sides by 21

x = 7 now to find the measure of each angle replace x with 7

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Identify an equation in point-slope form for the line perpendicular to y =3/4x -4 that passes through (-1, 7).
PilotLPTM [1.2K]

Answer:

y - 7 = -4/3(x + 1)

Step-by-step explanation:

<u>Given</u>

  • y =3/4x -4
  • (-1, 7)

<u>Convert to point slope form</u>

y - y1 = m(x - x1)

m: represents what the slope is

y - 7 = -4/3(x + 1)

<u>Distribute -4/3</u>

-4/3 * x = -4/3x

-4/3 * 1 = -4/3

y - 7 = -4/3x - 4/3

<u>Add seven in both sides</u>

21/3 -4/3 = 17/3

y = -4/3x + 17/2

<u>Answer</u>

linear equation: y = -4/3x + 17/2

point-slope form: y - 7 = -4/3(x + 1)

3 0
3 years ago
5(x 1) − 8 = 5x(2 − 4)
svp [43]
Answer:
5 x (2 - 4)
5x-8= -10x
15x=8
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Hope this helps!

3 0
4 years ago
The population of pine bluff is 6791 and is decreasing at a rate of 7 per year.Write the linear equation that models this situat
Anna11 [10]

Answer:

y= 6971 -7 x  OR y = -7x + 6971

Step-by-step explanation:

the 6971 is the original number you started with, you are now decreasing by 7, so you use the value of -7. The x is the number of years that pass by, so the variable x affects the number 7 because it says decreases by 7 per year. The x does not go with 6971 as that number doesn't get directly affected.

3 0
3 years ago
Read 2 more answers
A 25 - foot ladder is leaned against a wall. If the base of the ladder is 7 ft from the wall,
Fiesta28 [93]

Answer:

24

Step-by-step explanation:

Since the ladder, wall, and ground form a right triangle, you can use this formula:

A squared + B squared = C squared

A = 7 feet

C = 25 feet

B = distance the ladder will reach

49 + B squared = 625

B squared = 625 - 49

B = square root of 576

B = 24 feet

6 0
3 years ago
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Consider the following statements:
Black_prince [1.1K]

Answer:

b. I and II are both false.

Step-by-step explanation:

I. For a significance level, the two tailed hypothesis is not always accurate than the one tailed hypothesis test. The hypothesis testing is carried to find out the correctness of a claim of a population parameter. The two tail hypothesis test which used both positive and negative tails of the distribution is not always more accurate than one tailed test.

II. The process of the point estimation involves the utilization of the values of a statistic which is obtained from the sample data to obtain the best estimate of a corresponding unknown parameter in the given population.

Hence, both the statements are false.

3 0
3 years ago
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