Answer:
Angle 2=160
Angle 3=10
Step-by-step explanation:
The rhombus is made up of two isoceles triangle.
Angle 1 measures 160.
Since the triangle is a isoceles triangle, the opposite angles of the congruent sides is equal angles to each other.
So the reamaing angles in the top triangle are equal so we can use this equation
Remeber that triangle maximum degree it can hold is 180
We have two congruent triangle side they share Three sides. SSS
This means the corresponding angle of Angle 1 is Angle 2.
Angle 2=Angle 1 by CPCTC.
Angle 2=160
Angle 3 corresponds with one of the remaining congruent angles so it measures
10.
Answer:
y = -2x -4
Step-by-step explanation:
The equation of a line is y = mx + b, where m is the slope of the line, and b is the y-intercept. We are told that the slope of the line is -2, so we can start with
y = mx + b
y = -2x + b
We can figure out the value of b by plugging in the coordinates of the point given (-2, 0)
0 = -2(-2) + b
0 = 4 + b
Subtract 4 from both sides of the equation
-4 = b
Then plug that value of b back into the equation above:
y = -2x + (-4) or y = -2x -4
The length of one leg of the right triangle is 5√10
<h3>How to find the leg of a right triangle?</h3>
The leg of a right triangle can be found as follows;
Therefore, using trigonometric ratios,
sin 45 = opposite / hypotenuse
sin 45 = x / 10√5
1 / √2 = x / 10√5
cross multiply
10√5 = x√2
divide both sides by √2
x = 10√5 / √2
x = 10√5 / √2 × √2 / √2
x = 10√10 / 2 = 5√10
learn more on right triangle here: brainly.com/question/3398476
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Answer:
1. The preimage and image are congruent
2. Any line segment connecting the corresponding points between the preimage and image is bisected by the line of reflection
3. Corresponding angles on the preimage and image are congruent
4. Corresponding points of the preimage and image are equidistant from the line of reflection.
