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Mariulka [41]
3 years ago
12

Triangle ABC is a right triangle, and angles A and C are equal but not right angles. What is the measure of angle B ?

Mathematics
2 answers:
Dmitry [639]3 years ago
8 0

Answer:

D)

Step-by-step explanation:

Angle A and C are equal i.e. 45°

So angle B will definitely be 90°

erastova [34]3 years ago
7 0

Good evening

Answer:

<h2>D) 90 degrees</h2>

Step-by-step explanation:

<em><u>we have two statements here:</u></em>

statement 1: A and C are not right angles

statement 2: ABC is a right triangle

according to the statements above :

the triangle ABC is right at point B.

check the attached picrude.

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Fill in the missing work and justification for step 3 when solving 2(x + 1) = 10.
kirill115 [55]

Answer:

2(x + 1) = 10

x = 4

Step-by-step explanation:

Given:

2(x + 1) = 10

Solution:

Apply Distributive property

A*(B+C) = (A*B) + (A*C)

This means multiply 2 with x and 1

2*(x+1) = (2*x) + (2*1)

2x + 2 = 10      

Use Subtraction property of equality

A = B, then A - C = B - C

Subtracting 2 from both sides:

2x + 2 - 2 = 10 - 2

2x = 8                  Step 3

Use Division property of equality

It state that if you divide both sides of an equation by same nonzero number then the sides remain equal

Dividing both sides by 2

2x/2 = 8/2

x = 4

This means value of x is 4

Another method to solve this equation is:

2(x+1)=10  

Use Distributive property

A*(B+C) = (A*B) + (A*C)

2*(x+1) = (2*x) + (2*1)  

2*(x+1) = 2x + 2  

Use commutative property

A + (-B) = (-B) + A

2x + 2 + (-2) = 2x + (-2) + 2

2x + 2 + (-2) = 10 + (-2)

2x + 2 - 2 = 10-2  

2x = 8  

Using division property

AX = B  

AX / A = B / A

So

X = B/A

This becomes:

2x = 8

2x = 8.

Divide both sides by 2  

2x / 2 = 8 / 2  

x = 4

3 0
3 years ago
A quality-control engineer samples 100 items manufactured by a certain process, and finds that 15 of them are defective. True or
goldenfox [79]

Answer: b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

Step-by-step explanation:

Given that:

Number of samples = 100

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Proportion =number defective samples / total samples

P = 15 / 100 = 0.15

Hence, the probability that an item produces is defective is 0.15.

However, due to sampling Variations, the probability will be corrected for these variations. Hence, probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

5 0
2 years ago
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klasskru [66]

Answer:

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Step-by-step explanation:

You solve the system of equations, by solving for one variable, and then subsitiute that variable into the other equation.

5 0
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3 years ago
Khan khan khan khan
Ber [7]

Answer:

11

Step-by-step explanation:

it says motor cycles combined with garbage so add both of them then subtract that from the bull dosers

motor =18

garbage=4

18+4=22

bulldosers=11

22-11= 11 more

5 0
3 years ago
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