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Ipatiy [6.2K]
3 years ago
12

4267 divided by 31 in mixed number form

Mathematics
1 answer:
Rainbow [258]3 years ago
8 0
Mixed Number Form:
<span>137 </span>\frac{20}{31}
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An experience bricklayer can construct a small wall in 3 hours. An apprentice can complete the job in 5 hours. Find how long it
Over [174]

Answer:

Step-by-step explanation:

If the bricklayer can construct the wall in its entirety in 3 hours, then he can get 1/3 of the job done in an hour.

If the apprentice can get the whole job done in 5 hours, then he can get 1/5 of the job done in an hour. If they both work together on said job, the equation is

\frac{1}{3}+\frac{1}{5}=\frac{1}{x} and now we solve for x. Multiply everything by the LCM to get rid of the fractions. That would be 15x:

15x(\frac{1}{3}+\frac{1}{5}=\frac{1}{x}) and doing that gives us

5x + 3x = 15 and

8x = 15 so

x = 1.875 hours which is 1 7/8 hours which is also 1 hour and 52 1/2 minutes.

3 0
2 years ago
Which postulate or theorem, if any, could be used to prove the triangles congruent? If not
inysia [295]
Question 11a)

We are given side BC equals to side CE and angle CBA equals to angle CED
We also know that angle ACB equals to angle ECD are equal (opposite angles properties)

We have enough information to deduce that triangle ABC and triangle CDE are equal by postulate Angle-Side-Angle (ASA)

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Question 11b)

We are given side AB equal to side ED, side BC equals to side EF, and side AC equals to side DF
We have enough information to deduce that triangle ABC and triangle DEF congruent by postulate Side-Side-Side (SSS)

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Question 11c)

We are given side AC equals to side DF, angle ABC equals to angle DEF, and angle BAC equals to angle EDF

We have enough information to deduce that triangle ABC congruent to triangle DEF by postulate Angle-Side-Angle (ASA)

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Question 11d)

We do not have enough information to tell whether this shape congruent or not
7 0
3 years ago
Read 2 more answers
Which graph represents the solution to the system of equations y=3x+2 10x+2y=20
Step2247 [10]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y=3x+2 ----> equation A

10x+2y=20 ----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

Using a graphing tool

The intersection point is (1,5)

see the attached figure

therefore

The solution of the system is the point (1,5)

7 0
3 years ago
How many 1/12 make a quarter?
ch4aika [34]

Answer:

3

Step-by-step explanation:

3/12 = .25

.25 = a quarter

plz mark brainliest ! :)

5 0
3 years ago
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Find x<br><br> help please, asap.
yanalaym [24]

Answer:

X=58 degrees

Step-by-step explanation:

So We can start by finding the angle thats supplementary to 109.

Well 109 and another unknown angle (which will be Y for this scenario) would form a straight line which is 180 degrees.

109+y=180

Solve that by isolating the y and you would get 71 as the missing side.

Now we have 2 sides, 71 and 51. We’re trying to find x or the angle vertical to the thrid interior angle of the triangle.

Vertical is basically equal so we really just gotta find the third side. A triangle is equal to 180 degrees and if you add em up.

71+51+x=180

Combine like terms

122+x=180

Isolate the X

x=58

So x is 58 degrees.

7 0
3 years ago
Read 2 more answers
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