Answer:
21 1/6 ft
Step-by-step explanation:
Add the lengths together
12 1/2 + 8 2/3
Get a common denominator of 6
12 1/2 *3/3 + 8 2/3 *2/2
12 3/6 + 8 4/6
20 7/6
20 +6/6+1/6
21 1/6
Answer:
y=-x+2
Step-by-step explanation:
The slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.
From the graph, we can see that the y-intercept is at (0,2) so the equation becomes y=mx+2.
Other points on the graph include (1,1) and (2,0). Plugging (1,1) into the slope-intercept equation, we get 1=(m)1+2. Solving this will give us m=-1.
We can confirm this by plugging m=-1 into the equation along with the point (2,0); 0=(-1*2)+2. It checks out!
So our final equation in slope-intercept form will be y=-x+2
A 45-45 90 triangle has two lengths that are equal, and the hypotenuse is √2 times those lengths.
Therefore:
Let x = the length of a leg (doesn't matter which one, they are equal)
√2 * x = 24 Divide both sides by √2
x = 24 / √2
To get the radical out of the denominator, multiply the right side by √2/√2
x = 24√2 / 2
x = 12√2 Answer is B
2. (D)
3. (B) Hope it helps
Answer:
28. m<A=20°, m<B=70°
32. m<A=103°, m<B=77°
Step-by-step explanation:
complementary angle=a+b=90°
supplementary angle=a+b=180°
28. A+B=90°
5x+17x+2=90°
22x+2=90°
22x=90-2
22x=88
22x/22=88/22
x=88/22=<u>4</u>
m<A=5x=5*4=<u>20°</u>
m<B=17x+2=17*4+2=68+2=<u>70°</u>
<u>Check</u>
A+B=90°
20+70=90°
<u>90°=90°</u>
32. A+B=180°
x+11+x-15=180°
2x-4=180°
2x=180+4
2x=184
2x/2=184/2
x=184/2
x=<u>92</u>
m<A=x+11=92+11=<u>103°</u>
m<B=x-15=92-15=<u>77°</u>
<u>Check</u>
A+B=180°
103+77=180°
<u>180°=180°</u>
