The sum of angles in a triangle add up to 180°, therefore to find the value of x we proceed as follows;
sum of angles in ΔABC will be:
48+(6x-28)+2x=180
putting like terms together we get
48-28+6x+2x=180
20+8x=180
8x=180-20
8x=160
x=160/8
x=20°
hence:
∠B=(6x-28)=6×20-28=92°
∠C=2x=2×20=40°
Convert to like denominators. 1/4 is equal to 2/8, so he can take two cups of the measuring cup he’s using to get the amount of flour needed.
Answer:
I'm not really sure that my answer is correct, but if you divide 640 by 70 you get 9, so Brian can put 9, 70 pound boxes in the truck.
Step-by-step explanation:
Answer:
Step-by-step explanation:
What we know
total sum of angles = 540 deg
3/2 b cam also be written as 1.5b degrees.
So 1.5b + (b+45) + (2b - 90) +90 = 540
Step 1 -- get rid of parenthesis
1.5b + b + 45 +2b -90 +90 =540
Step 2 -- combine the like expressions
4.5b + 45 = 540
Step 3 -- subtract 45 from both the sides
4.5b = 495
Step 4 -- divide 4.5 from both the sides
b = 110 ----- not the right answer
Thats not right okay im sorry
but i guess if it is not 110 it should be 100, 90 etc.
90 = b is correct
I'm guessing that you know about 45-45-90 and 30-60-90 triangles.
In 45-45-90 triangles, the legs are in a ratio such that the hypotenuse is 
times the legs.
In 30-60-90 triangles, the legs are in a ratio of 1:
:2
In the picture given we have been given a value of the side of the 45-45-90 triangle. We can deduce that the value of the hypotenuse is 9 because of the ratio of the sides of a 45-45-90 triangle.
The 30-60-90 triangle shares the same hypotenuse, and so we now know a value of one of its sides as well. The ratio of the side of value 'x' and the hypotenuse is : 2
We can create an equation to solve for x using these ratios:
= 
Cross multiply:
2x = 9
x = 
Option C
