Answer:
a=35 given
b=40
c=110
I couldn't complete see c. Please look at the picture to see what I assumed it to be.
Step-by-step explanation:
Hmmm... I guess a and b are not vertical.
We are given b=180-4a and a=35 so b=180-4(35)=180-140=40.
So b=40.
Isosceles triangles always have congruent base angles. So let's call both of the base angles in the bottom triangle x.
That means x+x+40=180.
We need to solve this for x.
Combine like terms:
2x+40=180
Subtract 40 on both sides:
2x=140
Divide both sides by 2:
x=140/2
Simplify:
x=70
So I'm assuming that c and it's adjacent angle are sitting on a straightedge together which means 70+c=180.
70+c=180
Subtract 70 on both sides:
c=180-70
Simplify:
c=110
Answer: C
Step-by-step explanation:
(fog)(3) is the same as finding f(g(3)). To solve, we first need to solve g(3). then, we solve for f(g(3)).
g(3)=5(3) [multiply]
g(3)=15
Now, we plug in 15 into f(x).
f(g(3))=-2(15)+8 [multiply]
f(g(3))=-30+8 [add]
f(g(3))=-22
Now, we know that C is the correct answer.
Answer: C) 5.5 cm.
Step-by-step explanation:
From the given , it can be clearly seen that in triangle DBE , G and H are the midpoints of segment DB and DE respectively.
Also, GH is parallel to BE. [By Converse of Basic proportionality theorem]
Length of BE= 11 cm.
Further more,
![\dfrac{DB}{DG}=\dfrac{BE}{GH}\\\\\Rightarrow\dfrac{2DG}{DG}=\dfrac{11}{GH}\ \ [{DG=GB,\therefore\ DB=2DG }]](https://tex.z-dn.net/?f=%5Cdfrac%7BDB%7D%7BDG%7D%3D%5Cdfrac%7BBE%7D%7BGH%7D%5C%5C%5C%5C%5CRightarrow%5Cdfrac%7B2DG%7D%7BDG%7D%3D%5Cdfrac%7B11%7D%7BGH%7D%5C%20%5C%20%5B%7BDG%3DGB%2C%5Ctherefore%5C%20DB%3D2DG%20%7D%5D)
Hence, the BEST ESTIMATE for segment GH is 5.5 cm.
Note :
Converse of Basic Proportionality Theorem says that when a line (or a segment) divides any two sides of a triangle in equal proportion then the line ought to be parallel to the remaining third side.
Answer:
1 yard is equal to 3 feet so divide 29 by 3 and there is your answer.
Step-by-step explanation:
