Answer/Step-by-step explanation:
The rhombus when split into two triangles will give us two equilateral triangles that are congruent to each other.
Therefore:
The two bases of both triangles will have equal angle measures of 4x + 5 each and a third angle measure of 8x - 6.
✅Formula to find the value of x:
(8x - 6) + 2(4x + 5) = 180° (sum of triangle)
8x - 6 + 8x + 10 = 180
8x + 8x - 6 + 10 = 180
16x + 4 = 180
16x + 4 - 4 = 180 - 4
16x = 176
16x/16 = 176/16
x = 11
A 0 because you can not subtract 2-5 or the rest
There are no steps to show, you just have to know which part of the equation effects which part of the graph:
Eqn. 5 matches b (since there were absolutely no translations)
Eqn. 6 matches d (since there was a vertical translation of one upwards)
Eqn. 7 matches a (since there was a horizontal translation of one to the right)
Eqn. 8 matches c (since there was a reflection upon the y-axis and a vertical translation of two downwards)
Answer:
y = 1.6x + 3.4
Step-by-step explanation:
We have to use the equation y = m x + c to find the equation of the line.
Here,
m ⇒ slope
c ⇒ y-intercept
<u>First, let us find the slope.</u>
For that, we can use the given two coordinates.
( -1 , 5 ) ⇒ ( x₁ , y₁ )
( 4 , -3 ) ⇒ ( x₂ , y₂ )
The <u>formula to find the slope</u> of a line is :
m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )
<u>Let us solve now.</u>
m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )
m = ( 5 - ( -3 ) ) ÷ ( -1 - 4 )
m = ( 5 + 3 ) ÷ -5
m = 8 ÷ -5
<u>m = -1.6</u>
Now let us<u> find the y-intercept (c )</u> of the line.
For that, let us get one of the coordinates which are given in the question.
I'll get ( -1 , 5 ) from that.
( -1 , 5 ) ⇒ ( x , y )
<u>Let us solve now.</u>
y = mx + c
5 = -1.6 × -1 + c
5 = 1.6 + c
5 - 1.6 = c
<u>3.4 = c</u>
Therefore,
m ⇒ -1.6
c ⇒ 3.4
So, the equation of the line is :
y = mx + c
<u>y = 1.6x + 3.4</u>
