Answer:
-8
Step-by-step explanation:
you add 5 to -7 to get -2
7 x -1 is -7
so x = -1
8 x -1 = -8
Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Answer:
1.) 16.5
2.) 24.2 ft
3.) 10.8 ft
Step-by-step explanation:
1.) So first you need to use Heron's formula
S = (A + B + C)/2
So
S = (17 + 17 + 8)/2
S = 21
Now
Area = 
So

So the Area is equal to 66.1
Now to find the height we use the Area of the triangle formula
A = 1/2 B*H
66.1 = 1/2(8) * H
66.1 = 4H
H = 16.525
So the height of the triangle is 16.5 units tall
2.) For this question you just use the Pythagorean theorem.
a² + b² = c²
So 22² + 8² = c²
484 + 64 = c²
548 = c²
= c
c = 24.1660919472 ft
So the length of the wire is 24.2 ft long
3.) Again this is the Pythagorean theorem.
a² + b² = c²
So 10² + 4² = c²
100 + 16 = c²
116 = c²
= c
c = 10.7703296143 ft
So the length of the banner is 10.8 ft long
We know that
scale factor=1 in/7.5 ft
scale factor=measurements on the blueprint/measurements <span> in the actual
</span>measurements on the blueprint=[measurements in the actual*scale factor]
so
for 18 ft
measurements on the blueprint=[18 ft*(1 in/7.5 ft)-----> 2.4 in
for 16 ft
measurements on the blueprint=[16 ft*(1 in/7.5 ft)-----> 2.1 in
the dimensions on the blueprint are
2.4 in x 2.1 in
Answer:
Step-by-step explanation:
intersection = { } no common elements.
union = { b,d,f,a,c,k}