Answer:
x=18
Step-by-step explanation:
all the interior angles in a pentagon = 540. use to interior angle theorem. then just add all the angles up and make them = to 540 like this: 540=95+90+(7x-4)+(3x+23)+(9x-6). then solve using algebra
Given:
∠PRS and ∠VUW are supplementary.
To prove:
Line TV || Line QS
Solution:
Step 1: Given
∠PRS and ∠VUW are supplementary.
Step 2: By the definition of supplementary angles
Step 3: Angles forming a linear pair sum to 180°
Step 4: By transitive property of equality
step 2 = step 3
Step 5: By algebra cancel the common terms in both side.
Step 6: By converse of corresponding angles postulate
Line TV || Line QS
Hence proved.
In a quadratic equation with the general formula of:
ax^2 + bx + c = 0
The discriminant is equal to b^2 - 4(a)(c). If the answer is a perfect square, then there are two real numbers. If not, then there are no real number root.
The discriminant for this equation is
(-6)^2 - 4(3)(1) = 24
Since 24 is not a perfect square, there are no real number roots.
Answer:
(6, 7)
Step-by-step explanation:
rotating a shape 180 degrees will create the same shape, with similar coordinates. Therefore, drawing a straight line through the origin, would make the coordinates of J (6, 7)
Answer:
200.96 yd^2
Step-by-step explanation:
Area of a circle = πr^2 where r = radius
radius = diameter/2
radius = 16/2
radius = 8
Area = π(8)^2
Area = π64
Area = 200.96 yd^2
