Answer: 126 in
Step-by-step explanation: 126 in because if you were to seperate the shapes you would get 6 in for the triangle by using the formula A=1/2 bh and for the rectangle you would get 120 by using the formula A=bh and when you add it you will get 126 in.
Answer:
17/40
Step-by-step explanation:
First let's find the least common denominator. The denominators are 8 and 25 so we need to find the least common multiple of 8 and 25.
8=2*2*2
25=5*5
Since they share no common factors the least common multiple of 8 and 25 is 8*25 which is 200.
Now we convert the fractions:
5/8*25/25=125/200
5/25*8/8=40/200
Then we subtract:
125/200-40/200=85/200
Now we simplify it:
17/40
Total length of all ribbons = 12 * 3 = 36 inch
Then, number of ribbons = 36/4 = 9
In short, Your Answer would be: 9 sections
Hope this helps!
Answer:
<h2>They both have the same slope</h2>
Step-by-step explanation:
The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.
given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;
mx = 3x
Divide through by x
mx/x = 3x/x
m = 3
Hence the slope of the function f(x)= 3x − 3 is 3.
For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;
m = Δy/Δx = y₂-y₁/x₂-x₁
From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5
m = 5-2/1-0
m = 3/1 = 3
Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.
<em>This shows that both functions have the same slope.</em>
Answer:
<em>Answer:</em> <em>A</em> 
Step-by-step explanation:
The HL Theorem states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
Triangles TRO and OMT share the hypotenuse, so the first part of the theorem is met.
Both triangles are right because they have an internal angle of 90°, so the second condition is also met.
Since there is no indication of any leg to be congruent to another leg, we need additional information to prove that both triangles are congruent.
One of these two conditions should be met:
Side TM is congruent to side OR, or
Side MO is congruent to side RT.
From the available options, only the first is correct.
Answer: A 
