<u>Given</u>:
Given that the parallelogram with the lengths 5x, 3x + 1, 2y - 5 and y.
We need to determine the values of x and y.
<u>Values of x and y:</u>
We know the property that the opposite sides of a parallelogram are congruent.
Thus, we have;
------- (1)
------- (2)
The value of x and y can be determined using the substitution method.
Substituting equation (2) in equation (1), we have;





Thus, the value of x is 3.
Substituting x = 3 in equation (2), we have;



Thus, the value of y is 10.
Answer: b. Consolidate all credit cards onto a single card with a single interest rate.
Step-by-step explanation: Steps a, c and d are in correct order. First, we have to arrange our debts in order of paying them off. Second, we need to determine how much extra money we have each month that can be contributed to debt payment. And finally, we need to track our progress of paying debt. So, option b is not included in the steps.
Thus, the correct option is b. Consolidate all credit cards onto a single card with a single interest rate.
Answer:
Radius = r = 7.5
Diameter = d = 15
Circumference = C = 15π
Step-by-step explanation:
We are given the image of a circle with a straight line passing through the center of the circle and touching its edges. Such a line is known as the diameter of the circle. From the image we can see the length of the diameter of the circle is d = 15 units.
Radius is define as half of the diameter. Since the diameter is 15 units, the radius of the given circle will be half of 15 which is r = 7.5 units.
Circumference of the circle = C = 2πr
Using the value of radius(r), we can write the circumference as:
C = 2π(7.5) = 15π
The definition of the interior angles of a triangle states that interior angles of a triangle add up to 180º.
This means we can find the measure of <CED:
<CED + <ECD + <CDE = 180º
<CED = 180º - <ECD - <CDE
<CED = 180º - 43º - 35º
<CED = 102º
By the definition of vertical angles states that a pair of vertical angles are congruent.
This means <CED = <AEB
If <CED = 102º
Then <AEB = 102º
By definition of the interior angles of triangles:
<AEB + <EBA + <BAE = 180º
<AEB = 102º
<EBA = 18º
102º + 18º + <BAE(<A) = 180º
<BAE = 180º - 102º - 18º
<BAE = 60º
<BAE is another way to say <A
<span>m∠A = 60º</span>
Answer:
here u go
Step-by-step explanation: