Answer:
Please see attachments for step by step guide and answers.
The number of shelves stephen can make is approximately 27
<h3><u>Solution:</u></h3>
Given that Stephen makes wooden shelves for his room
Stephen wants to make the shelves 3/4 foot long
He starts with a board that is 20 feet long
To find: number of shelves he can make
So the number of shelves stephen can make can make is found out by dividing 20 feet long board by 3/4 foot long
So the number of shelves stephen can make is approximately 27
We can Notice that ∠ABC = ∠ACB
We know that if Two Angles are Equal then Angles Corresponding to those Sides are also Equal.
⇒ AB = AC
⇒ 4x + 4 = 6x - 14
⇒ 6x - 4x = 4 + 14
⇒ 2x = 18
⇒ x = 9
⇒ Length of BC = 2x + 7 = 2(9) + 7 = 18 + 7 = 25 units
Answer:
x = 35
Step-by-step explanation:
First, we need to add the angles on a straight line and subtract them by 180 (because angles on a straight line adds up to 180)
56 + 51 = 107
180 - 107 = 73
Now that we have found the angle of y, we can find the angle of x now. Because angles in a triangle adds up to 180, we have to add 72 and 73 now.
72 + 73 = 145
And now subtract it from 180
180 - 145 = 35
So x = 35
Answer:
1, 4, & 6
Step-by-step explanation:
1. is a fraction and fractions are rational numbers
2. 11 is not a perfect square so the answer should be a terminating decimal and terminating decimals are irrational numbers
3. is a terminating decimal and an irrational number
4. .23 is a decimal which is a rational number since it can be made into the fraction 23/100
5. is a terminating decimal which is an irrational number
6. is a fraction which is a rational number
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