13x = 8x + 10
5x = 10
x = 2
AM = 13(2) = 26
Since AM is half of AB,
AB = 26+26 = 52
AB = 52
Answer:
3/4
Step-by-step explanation:
Scale factor is the ratio between two different triangles. They can be scaled if they are similar triangles, which they are (in this case). Since we know that these two triangles are similar, we want to match all the sides up in a way where they all have the same ratio.
NK=3 and AH = 4, so NK/AH = 3/4.
GK=6 and LH = 8, so GK/LH = 6/8 = 3/4.
GN = 15 and LA = 20, so GN/LA = 15/20 = 3/4.
We found the matching ratios, so the answer is 3/4.
Answer:
150/class
Step-by-step explanation:
Answer:
V＝4/3πr^3；S＝4πr^10；dV/dt＝dV/dr×dr/dt＝4πr^10×dr/dt；dS/dt＝dS/dr×dr/dt＝8πr×dr/dt＝2/r×dV/dt；当r＝10cm时,dS/dt＝50cm^2/s
Step-by-step explanation:
Answer:
10 in
Step-by-step explanation:
There are two ways to work this problem, and they give different answers. The reason for that is that <em>the data shown in the diagram is not consistent</em>.
<u>Method 1</u>
Use the area to determine the base length. The area formula is ...
A = (1/2)bh
20 in^2 = (1/2)(b)(4 in)
(20 in^2)/(2 in) = b = 10 in
The missing side dimension is 10 inches.
__
<u>Method 2</u>
Use the Pythagorean theorem to find the parts of the base, then add them up.
Left of the "?" we have ...
left^2 +4^ = 6^
left^2 = 36 -16 = 20
left = √20 = 2√5
Right of the "?" we have ...
right^2 +4^2 = 8^2
right^2 = 64 -16 = 48
right = √48 = 4√3
So, the base length is ...
base = left + right = 2√5 +4√3
base ≈ 11.400 in
The missing side dimension is 11.4 inches. (The area is 22.8 in^2.)
