Answer:
Measure of exterior angle ABD = 136°
Step-by-step explanation:
Given:
measure of ∠A = (2x + 2)°
measure of ∠C = (x + 4)°
measure of ∠B = x°
Find:
Measure of exterior angle ABD
Computation:
Using angles sum property
∠A + ∠B + ∠C = 180°
So,
(2x + 2) + (x + 4) + x = 180
4x + 6 = 180
4x = 176
x = 44
So,
measure of ∠B = x°
measure of ∠B = 44°
Measure of exterior angle ABD = 180 - measure of ∠B
Measure of exterior angle ABD = 180 - 44
Measure of exterior angle ABD = 136°
Here is a graph. When you use a graphing calculator, it isn't always necessary to solve for y.
Note different colors are used for the different problems. Problem 2 has a dashed line, as described by "Remember, ...".
Answer:
The coordinates of the image of vertex P after reflection is (-7, 4)
Step-by-step explanation:
Given that we are to reflect the point P across the x-axis, we have;
Reflection of a point across the x-axis gives;
When a point is reflected across the x axis, the y-coordinate changes to the opposite sign while the x-coordinate remains unchanged such that (x, y) becomes (x, -y)
Therefore, given that the point P = (-7, -4), we have;
Coordinates of point P before reflection Reflection = (-7, -4), coordinates of point P after reflection Reflection P' = (-7, 4).
25.2:360 ::x:5100
Or 25.2 x ------=----- then cross multiply, 360x=5100*25.2
Answer:
1. Two ribbons, A and B. One third of A is equal to all of B. Draw a tape diagram to show the ribbons.
2. Half Robert’s piece of wire is equal to 2/3 of Maria’s wire. The total length of their wires is 10 feet. How much longer is Robert's wire than Maria's?
3. Half Sarah’s wire is equal to 2/5 of Daniel’s. Chris has 3 times as much as Sarah. In all, their wire measures 6 ft. How long is Sarah’s wire in feet?
