I believe this is scale factor? SF=new/old. 10/8= a scale factor of 1.25 (the image gets 1.25x bigger). To find x, multiply 5 by 1.25 and subtract the original length of 5 (you subtract this length because x is only the value of the new part of the triangle). X=6.25-5, X=1.25. Try to find y yourself using this scale factor. (Brainliest would be appreciated)
Answer:
x= -6
Step-by-step explanation:
-2x-14=-2
We move all terms to the left:
-2x-14-(-2)=0
We add all the numbers together, and all the variables
-2x-12=0
We move all terms containing x to the left, all other terms to the right
-2x=12
x=12/-2
x=-6
Answer:
D) 20°
Step-by-step explanation:
Using the triangle sum theorem, you know that every triangle's interior angles add up to 180°. Therefore the bottom triangle's missing angle can be found by giving it the variable x.
57° + 30° + x = 180°
Simplify: 87° + x =180°
x=93°
By the vertical angles theorem, the vertical angle directly across this angle is congruent to this one. Meaning that the top triangle's angle are 67°, 93°, and unknown, which we can assign y. We can use the same method from above here.
67° + 93° + y = 180°
Simplify: 160° + y = 180°
y=20°
To find the answer we can use the angles sum of triangle which is 180° to find ∠z by deducting the other two angles from 180°:
180°-53°-90°
=37°
Therefore ∠z=37°.
Hope it helps!
Answer:
(a) Neither
(a) Perpemdicular
Step-by-step explanation:
Required
Determine the relationship between given lines
(a)
and
An equation written in form: 
has the slope:
So, in both equations:
For both lines to be parallel
This is false in this case, because:
For both lines to be perpendicular
This is false in this case, because:
(b)
and
Write equations in form:
Divide by 5
Divide by 2
In both equations:
For both lines to be parallel
This is false in this case, because:
For both lines to be perpendicular
This is true in this case, because:
Cancel out 2 and 5
