Answer: 60º
Step-by-step explanation:
With respect to the line ZB, it makes an angle of 180º if measured using DZ. If the angle outside the triangle measures 140º, subtract from 180º to find the angle inside the triangle.
180º-140º=40º
So, now we have angle c=80º and angle b=40º, we can make an equation to find angles D which we'll call x.
The sum of the angles of a triangle must be equal to 180º.
80+40+x=180
120+x=180
x=180-120
x=60
Answer:
quadrilateral DEFG is reflected to form a quadrilateral D'E'F'G'
Step-by-step explanation:
Vertices DEFG are in a clockwise orientation. Those in D'E'F'G' are in a counterclockwise orientation. The only way vertex order is reversed is through reflection. Translation, rotation, or dilation will not do that.
quadrilateral DEFG is reflected to form quadrilateral D'E'F'G'
Answer:
Two numbers are 38 and 10
Step-by-step explanation:
Let x and y are the two numbers
One number is 18 more than twice the other number.
The sum of the numbers is 48.
Plug in y =2x+18
Subtract 18 from both sides
divide both sides by 3
x=10
Two numbers are 38 and 10
Answer:
-9.
Step-by-step explanation:
Answer: 28.8°
<u>Step-by-step explanation:</u>
∠A = 5(∠B) + 7.2°
∠B = ∠B
Since they are on a straight line, they form a linear pair (sum = 180°)
∠A + ∠B = 180°
Use Substitution:
5(∠B) + 7.2° + ∠B = 180°
Add like terms:
6(∠B) + 7.2° = 180°
Subtract 7.2° from both sides:
6(∠B) = 172.8°
Divide both sides by 6:
∠B = 28.8°