Answer:
1 is concentric circles
2 is concentric circles, they have same center
3 is congruent circles, they have equal radii
4 is correct
5 is correct
Step-by-step explanation:
Congruent circles are circles of the same size while concentric circles are circles that have same center but different radii. Diameter is the line passing through the center of a circle joining two points on the circumference while radius is the joining the center of the circle to any point on the circumference.
<h3>1.</h3>
We will write and solve an equation that expresses the given relation. Let x represent the angle measure. Its complement is (90-x).
... x =(1/4)(90 -x)
Subtract x and simplify
... 0 = (90/4) - (5/4)x
Divide by the coefficient of x, which is -5/4.
... 0 = -18 +x
Add the opposite of the constant.
... 18 = x
The angle is 18°.
<h3>2.</h3>
The attachment shows the intersction of road AB with road CD.
<em>Supplementary angles:</em> ∠CXA and ∠CXB; ∠BXC and ∠BXD; ∠DXA and ∠DXB; ∠AXC and ∠AXD.
<em>Complementary angles:</em> none
<em>Vertical angles:</em> ∠AXC and ∠BXD; ∠BXC and ∠AXD.
Equation B.
The average of the sum of the existing 3 scores plus the score of the new test should equal 85.
To solve this, multiply both sides by 4 and subtract 256. The student needs an 84 in order to have an average of 85.
Answer:
x = 5
y = 3
Step-by-step explanation:
y = x - 2
4x - 3y = 11
substitute y in the second equation with x - 2
4x - 3(x - 2) = 11
<em>open the parenthesis</em>
4x - 3x + 6 = 11
x + 6 = 11
<em>subtract 6 from both sides of the equation</em>
x + 6 - 6 = 11 - 6
x = 5
now substitute x for 5 in the original equation.
y = x - 2
y = 5 - 2
y = 3
You just add five every time
