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Ghella [55]
3 years ago
7

If angle ABC is congruent to angle DEF, what substitution property would this equation be??? Angle DEF=180 degrees - angle ABC A

.) Substitution property of equality B.)Substitution property of congruency C.) Substitution property of transitivity
Mathematics
1 answer:
Elodia [21]3 years ago
5 0

Answer:

b

Step-by-step explanation:

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Determine the value of c so that f(x) is continuous on the entire real line when
mixer [17]

Answer:

A. -4

Step-by-step explanation:

Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.

For the left hand limit;

The function at the left hand occurs at x<-1

f-(x) = x+3

f-(-1) = -1+3

f-(-1) = 2

For the right hand limit, the function occurs at x>-1

f+(x) = 2x-c

f+(-1) = 2(-1)-c

f+(-1) = -2-c

For the function f(x) to be continuous on the entire real line at x = -1, then

f-(-1) = f+(-1)

On equating both sides:

2 = -2-c

Add 2 to both sides

2+2 = -2-c+2

4 =-c

Multiply both sides by minus.

-(-c) = -4

c = -4

Hence the value of c so that f(x) is continuous on the entire real line is -4

6 0
3 years ago
What are the common factors of 50 30 and 100
Wittaler [7]
10 is a common factor of 50 30 and 100. So is 2
6 0
3 years ago
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A boat is heading towards a lighthouse, whose beacon-light is 136 feet above the
alexandr1967 [171]

The distance between the points A to B is 899.9 feet. After rounding off the  nearest integer we get 900 feet as the final answer.

Given we know that CD is perpendicular to AD.

The distance between CD is 139 feet.

As from points A the boat's crew measure the angle of elevation to the beacon as 6°

therefore, m∠A = 6°

Another time the angle of elevation is measured from point B which is 19°.

therefore, m∠DBC = 19°

tan 19° = CD/BD

BD = CD/tan19°

BD = 136/tan 19°

now for tan 6° = CD/AD (tangent is opposite over adjacent)

AD = CD/tan 6°

AD = 136/tan 6°

AB = AD ₋ BD

AB = 136/tan 6° ₋ 136/tan 19°

AB = 1295.2 ₋ 395.3

AB = 900 feet

hence the distance from point A to B is 900 feet.

Learn more about Heights and distances here:

brainly.com/question/2004882

#SPJ9

5 0
2 years ago
The diameter of a circle is 4cm. Find it area to nearewt tenth.​
DIA [1.3K]

Answer:

12.6cm

Step-by-step explanation:

6 0
3 years ago
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The owner of a sporting goods store in Phoenix, Arizona surveys her customers to determine the proportion of customers that play
BabaBlast [244]

Answer:

C

Step-by-step explanation:

This is a sample proportion where p^ represents the sample proportion.

If we have p^ = 0.6, it means about 60% of the sample are in agreement with or significant to the case study.

The case study here is 'customers that play racquetball' and p^ was 0.16.

This means that 16% of the customers of the sample said they play racquetball.

3 0
3 years ago
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