1/3x + y = 4....subtract 1/3x from both sides
y = -1/3x + 4 <===
Answer:
a. 35 degrees
b. 145 degrees
Step-by-step explanation:
a. Since the two base angles of this triangle are congruent, we can conclude that the triangle is <em>isosceles, </em>which means that the two base angles and sides are congruent.
Now, knowing that information, we can subtract 110 from 180 (the sum of all interior angles in a triangle) and we get 70. But this isn't our answer. This is the sum of both base angles. Since the base angles are congruent, we can divide the 70 by 2 to get the measure of ONE base angle, which is 35 degrees.
b. There are two approaches to solve this problem. I have worked both out.
1) We can use the Exterior Angle Theorem, which states that the sum of the interior angles is equal to the exterior angle. We can add 110 to 35, so we get 145 degrees as the measure of <1.
2) The second approach is supplementary angles. Since we see that one of the base angles and <1 is on the same line, we can subtract 35 from 180 to find the measure of <1 to get 145 degrees.
Either way you use, you get the correct answer. Hope this helped!
Answer:
28.4in³
Step-by-step explanation:
Volume of the square based pyramid = L²H/3 where;
L is the length of a side of the square base
H is the height of the prism
Given
Perimeter of the base = 13.4 in
Height of the pyramid = 7.6in
First we need to get the length of the square base
Perimeter of a square = 4L
13.4 = 4L
L = 13.4/4
L = 3.35 in
Next is to find the required volume of the pyramid
V = L²H/3
V = 3.35²(7.6)/3
V = 85.291/3
V = 28.4 in³
Hence the volume of the pyramid to nearest tenth is 28.4in³
Answer:
-10
Step-by-step explanation:
f(-4)=-(-4)-5
f(-4)=-1
g(-6)=2(-6)+3
-12+3
g(-6)=-9
add together:
-1+-9
=-10
