Answer:
140°
Step-by-step explanation:
Three angle are labeled below the acre. The smallest angle is 3/8 as large as the 160 angle. Find the value of angle a
The value of the smallest angle is given as:
= 3/8 of the 160 angle
=3/8 × 160°
= 60°
The sum of the total angle = 360°
Hence:
360° = 60° + 160° + a
a = 360° - (60° + 160°)
a = 360° - 220°
a = 140°
Therefore, a = 140°
Answer:
Step-by-step explanation:
Where is the image
Answer:
33°
Step-by-step explanation:
Where a transversal crosses parallel lines at right angles, all of the angles at their points of intersection are right angles.
__
Angles at U are right angles, congruent to ∠UXZ. So, acute angle UXW in right triangle UXW is the complement of acute angle UWX:
∠UXW = 90° -57° = 33°
Answer:
equation;

Center (-4,2)
Radius is

Step-by-step explanation:
Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

Where (h,k) is center
r is the radius
So first we group like Terms together

Add 7 to both sides


Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

and

so we have



To find our center, h is -4 and k is 2
so the center is (-4,2)
The radius is

So the radius is 3 times sqr root of 3.
Answer: -5
Step-by-step explanation:
The formula for calculating the slope of a line is given as :
m=\frac{y_{2} }{x_{2}} - \frac{y_{1}}{x_{1}}
= 8
= 6
= 5
= 15
substituting into the formula , we have
m = 
m = 
m = -5
Therefore the slope is -5