Answer:
a+4=11b
Step-by-step explanation:
Distributive property in mathematics means to multiply the sum by a number of two or more add-ons will provide the same result that each add-on multiplies by a single number and then together add the products.
for example a( b+c) = ab+ac
Therefore, applying distributive property in asked eapression
12(2a - 6b+ 8) = 21(2a−6b+8)
24a+72b+96 = 42a-126b+168
198b=18a+72
9a +36=99b
3a+12=33b
a+4=11b
Answer: The tree was 27 feet tall
Step-by-step Explanation: First of all Sally was standing 30 feet away from the tree and she looks up at an angle of elevation of 38 degrees to the top of the tree. With this bit of information we can determine that a right angled triangle has been formed with the reference angle as 38 degrees, the side facing it as h (the height of the tree) and the adjacent side as 30. We shall apply the trigonometric ratio as follows;
Tan 38 = opposite/adjacent
Tan 38 = h/30
0.7813 = h/30
0.7813 x 30 = h
23.4 = h
We remember at this point that Sally’s eyes were 4 feet above the ground. What we have just calculated is the height of the tree from “4 feet above the ground” (where her eyes were). Hence the actual height of the tree is calculated as 23.4 plus 4 which gives us 27.4
Therefore the tree was 27 feet tall (approximately to the nearest foot)
B) False
Because the negation makes it opposite of what is was.
Answer:the length of segment MN is 12
Step-by-step explanation:
because the angles at the bottom of each segment are equal, the length of each segment is equal as well, so set you equation as 3x=x+8, subtract x from 3x then divide 8 by 2 which equals 4. (x=4) then plug in the value of x into x+8 and you have 12
Answer:
138 is the answer
Step-by-step explanation:
In order to find the perimeter, we use this formula
P=2(l+w)
And to find the width, we use this formula
w = P/2 - L = 18/2 - 3 = 6
So the width is 6
3 × 6 = 18
So thats why the perimeter of the top triangle is 18
We do 21 ÷ 3 = 7, 7 = scale factor
To find the perimeter of the bottom triangle, we do
the width of the top rectangle times 7
so 6 × 7 = 48
So the perimeter for the bottom triangle is
P=2(l+w)=2·(48+21)=138
