Answer:
x = 7
Step-by-step explanation:
We can tell by looking at this triangle that this is a <u>45 45 90 triangle.</u>
In this situation, the hypotenuse is
and the legs are both
.So if we look at the hypotenuse, we can tell that x, or the leg of the triangle, is 7.
45 45 90 triangles: This is a special triangle in which the angles of the triangle are 45 45 and 90 degrees. This means that the hypotenuse will be
and the legs of the triangle will be
. You can usually use the Pythagorean theorem to solve the missing sides.
Use the following identities:

Also because the angle is in quadrant 3, sin must be negative.
Therefore

Subbing in tan = 0.958
Answer:
9) 4
10) p¹⁵/q⁹
Step-by-step explanation:
9)
As per the law of indices, (xᵃ)ᵇ=xᵃᵇ.
So divide 8 by 2 to get 4
10)
p(p⁻⁷q³)⁻²q⁻³
p(p¹⁴q⁻⁶)q⁻³ <em>(because (xᵃ)ᵇ=xᵃᵇ)</em>
pq⁻³(p¹⁴q⁻⁶)
p¹⁵q⁻⁹
p¹⁵/q⁹ <em>(because x⁻ᵃ =1 /xᵃ)</em>
The answer is A please Mark as brainless
Answer:
the slope is 4
Step-by-step explanation:
y+3=4(x-5)
This is in point slope form
y-y1=m(x-x1)
where (x1,y1) is a point on the line and m is the slope
The slope is 4 and a point on the line is (5,-3)