Answer:
x=15°
Step-by-step explanation:
We can see angle 6x-5 has a corresponding angle above it, which is congruent to it. That angle is supplementary with angle 7x-10. We can tell because it forms a straight angle with it. Supplementary angles add to 180°.
(7x-10)+(6x-5)=180
7x-10+6x-5=180
13x-15=180
13x=195
x=15
Answer:

Step-by-step explanation:
According to the trigonometric ratios the tangent of an angle is the ratio of perpendicular to base, i.e.

In the provided triangle the perpendicular is 8 and base is 15.
Compute value of tan <em>A</em> as follows:

Thus, the value of tan <em>A</em> is
.
Answer:
b. y = −0.5x + 5.5
Step-by-step explanation:
Well first we need to find the slope of line CD.
To do that we'll use the following formula,

We'll use the points (1,1) and (3,5)
So y2 is 5 y1 is 1 so 5-1 = 4
3-1 = 2
<u>Slope = 2x</u>
If the slope of line CD is 2x we can cross out choices C and D.
Two lines that are perpendicular to each other have reciprocal slopes,
meaning is the slope of line CD is 2 then its perpendicular lines slope should be -.5.
If the perpendicular line goes through point (-1,6), the y intercept would be, 5.5.
Look at the image below ↓
<em>Thus,</em>
<em>the answer is option b. y = −0.5x + 5.5.</em>
<em>Hope this helps :)</em>
Answer:
Step-by-step explanation:
4(x + 2) = 48
4x+8=48
4x=40
x=10
Line y=x has a slope of m=(1/1)=1
The line with slope m=1 passing through (x1,y1)=(2,4) has the equation
(y-y1)=x-x1
=>
y-4=x-2
=>
y=x+2