The answer is 11.66 or 11.67 depending on how you round the decimal
X - unit of length
w,l - the sides of a rectangle
7 : 2 ⇒ 7x : 2x
Perimeter: P = 207cm
Perimeter: P = 2w + 2l
therefore: 2w + 2l = 207 |divide both sides by 2
w + l = 103.5 (cm)
w : l = 7 : 2 ⇒ w : l = 7x : 2x ⇒ w = 7x; l = 2x
subtitute
7x + 2x = 103.5
9x = 103.5 |divide both sides by 9
x = 11.5 (cm)
7x = 7 · 11.5cm = 80.5cm
2x = 2 · 11.5cm = 23cm
w = 80.5cm; l = 23cm
Area = wl
Area: A = 80.5cm · 23cm = 1851.5cm²
Answer:
2. The change in expected height for every one additional centimeter of femur length.
Step-by-step explanation:
<u>1. The expected height for someone with a femur length of 65 centimeters.</u>
<em>Doesn't make sense, that would be height value when centimeters = 65.</em>
<u>2</u><u><em>. </em></u><u>The change in expected height for every one additional centimeter of femur length.</u>
<em>Makes sense, for every increase in one additional centimeter, we can expect the height to be proportional to the slope.</em>
<u>3. The femur length for someone with an expected height of 2.5 centimeters.</u>
<em>Doesn't make sense, the linear relationship relies on the femur length to get the height.</em>
<u>4. The change in expected femur length for every one additional centimeter of height.</u>
<em>Doesn't make sense, again, the linear relationship relies on the femur length.</em>
Let's split it into rectange and tringle
BC= 2.1+ sqrt(3.2^2 - 1.9^2) = 4.67
Answer:
Congurent triangles are those which map onto them selves perfectly. This means they share the same angle measurements and side lengths. Therefor we can figure out the side lengths by using the information in both triangles.
AD=5x+11
in the congurent triangle, the corresponding side equals:
CM=7x-3
CM and AD are congurent triangles meaning their sidelengths equal the same. Therefore...
5x+11=7x-3
Now we just solve to find the length of AD and CM (equal lengths)
5x+11=7x-3
11=2x-3
14=2x
7=x
x=7
If x=7 then we can plug it in for AD to find the side length.
5(7)+11=46
Notice that CM equals the same 7(7)-3=46
This is because... they are congruent triangles.
These rules also apply for all angle measurements of congruent triangles:
The m<v is equal to the meaasure of E (corresponding angles in congrurent triangles are equal)
We already astablished what x was (x=7) meaning if we find the measure of E then we have the measure of V sicne they are corresponding angles in a congrurent triangle.
(6x7+1)=43°
therefore the m<v is equal to 43°
46 and 43° is your answer
Step-by-step explanation:
