Answer:
Adjacent angles. x = 55
Step-by-step explanation:
Adjacent angles are angles that are right next to each other, sharing one side.
Since that is a right angle (90º):
X + 35 = 90
X + (35-35) = 90 - 35
X = 55
Hope this helps! Have a great day!
Answer:
15
Step-by-step explanation:
a^2+b^2=c^2
y^2+8^2=17^2
Step 1: Simplify both sides of the equation.
y^2+64=289
Step 2: Subtract 64 from both sides.
y^2+64−64=289−64
y^2=225
Step 3: Take square root.
y=15
The measure of a central angle is equal to measure of a minor arc. That makes m<GEH=17x+12. By the Vertical Angles Theorem, m<GEH and m<IEF are equal to each other (m<GEH=17x+12=m<IEF). By the same theorem, m<FEG and m<IEH are also equal (m<FEG=8x-7=m<IEH). The angles in a circle must all add up to 360 degrees, 2(17x+12)+2(8x-7)=360. Solve for x, then plug x into the equation for m<IEF.
Hope this helps!
Answer:
The equation is y=2x + 2
Step-by-step explanation:
4x+2y=7
2y=-4x+7
y=-2x+7/2
Hence, the gradient =-2
Note that: parallel lines share the same gradient
sub m(gradient)=-2 and the point (1,0) into y=mx+c
0=-2(1)+c
c=2
Therefore, the equation in the form of y=mx+c is y=-2x+2
The formula of a slope:

We have the points (-4, -3) and (-3, s) and the slope m = 3. Substitute: