Answer:
3. The missing angle is 56°
4. x = 7
Step-by-step explanation:
3.
We know sum of 3 angles in a triangle is 180°.
Looking at the top triangle, we can figure out the third angle. Let third angle be x:
85 + 35 + x = 180
120 + x = 180
x = 180 - 120
x = 60
<u>The angle "x" and the angle that is missing from the "bottom" triangle in the figure, are vertical angles, and hence, are EQUAL.</u>
So the bottom triangle now has 2 angles, 60 and 64 (given). Let the third angle be y(the one with a question mark). So we can write:
60 + 64 + y = 180
124 + y = 180
y = 180 - 124
y= 56
This is the missing angle.
4.
10x - 5 AND 8x + 9 are vertical angles. They ARE EQUAL.
Thus we can write the equation:
(10x-5) = (8x+9)
10x-8x=9+5
2x=14
x=14/2
x=7
So x = 7
Answer:
one
Step-by-step explanation:
When a system of equations is graphed, the solution is the coordinate that is plotted at the intersection of the two lines.
If the two lines cross once, there is only one solution.
If the two lines are on top of each other then there are infinitely many solutions.
If the two lines are parallel ( and never touch ) then there are no solutions
By looking at the graph we notice the two lines intersect once. So we can conclude that there is only one solution.
Answer:
5%
Step-by-step explanation:
Lets say 10 add a 0 = 100 9.5 add a 0 = 95.0 (move ok decimal place) so there is a 5% error.
I Can't See The Problem All The Way
Answer:
See below.
Step-by-step explanation:
Substitute the value for the variable and solve.
a.)
⇒ y = -5(3) + 17
⇒ y = -15 + 17
⇒ y = 2
b.)
⇒ y = 3(3) - 22
⇒ y = 9 - 22
⇒ y = -13
c.)
⇒ y = 2(3) - 25
⇒ y = 6 - 25
⇒ y = -19
d.)
⇒ y = 6(3) - 39
⇒ y = 18 - 39
⇒ y = -21