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3 years ago

Are the given angles complementary, supplementary, or neither?

Mathematics

1 answer:

const2013 [10]3 years ago

4 0

B. Complementary means totaling 90 degrees, and supplementary means totaling 180 degrees.

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The students in a furniture-making class make a tabletop shaed lke a the figure shown. The tabletop has squares cut out of the c

Lesechka [4]

If you are trying to find the area, it's 10ft but idk what's the question here.

5 0

3 years ago

A chemist has one solution that has 50% acid. She has another solution that is 25% acid. How many liters of the 50% acid solutio

Tatiana [17]

Answer:

Step-by-step explanation:

Let's begin by assigning letters to represent our two unknowns:

x (liters of 25% solution)

y (liters of 50% solution)

Our system of equations will consist of two equations:

Equation #1 (total volume of solution)

Equation #2 (total concentration of acid)

Our total volume of solution is 10 liters, which can be expressed as the sum of our unknowns:

Equation #1: x + y = 10

Our total concentration of acid can be expressed as the sum of the individual acid concentrations to make up the concentration of the final solution:

Equation #2: (0.25)(x) + (0.50)(y) =

(0.40)(10)

We can use Equation #1 to express one unknown in terms of the other and then plug that expression into Equation #2 to solve for one of the unknowns:

x + y = 10

y = 10 - x

Now we'll plug our expression for y in terms of x into Equation #2 and solve for x:

0.25(x) + 0.50(10 - x) = 0.40(10)

0.25x + 5 - 0.50x = 4

-0.25x = 4 - 5

-0.25x = -1

x = (-1)/(-0.25)

x = 4 (liters of 25% solution)

Now we'll plug our value for x into Equation #1 and solve for y:

4 + y = 10

y = 10 - 4

y = 6 (liters of 50% solution)

Finally, we will verify the correctness of our answers by plugging these values into Equation #2 to see if the sum of the component acid concentrations equals the final solution concentration:

0.25(4) + (0.50)(6) = 0.40(10)

1 + 3 = 4

4 = 4 (our answers are correct)

8 0

2 years ago

In circle J with mZHLK = 18, find the mZHJK.

zysi [14]

Answer:

The measure of angle HJK is 36°

Step-by-step explanation:

<em><u>In a circle</u></em>, <em>the measure of the inscribed angle equal half the measure of the central angle subtended by the same arc</em>

In circle J

∵ J is the center of the circle

∵ H and K lie on the circle

∴ ∠HJK is a central angle subtended by arc HK

∵ L lies on the circle

∴ ∠HLK is an inscribed angle subtended by arc HK

→ By using the rule above

∵ ∠HJK and ∠HLK are the central angle and inscribed angle

subtended by the same arc HK

∴ m∠HLK = $\frac{1}{2}$ m∠HJK

∵ m∠HLK = 18°

∴ 18 = $\frac{1}{2}$ m∠HJK

→ Multiply both sides by 2

∴ 36 = m∠HJK

∴ The measure of angle HJK is 36°

3 0

2 years ago

Assume that you have saved $2,000 for the purchase. How much of this money will you be able to put towards the purchase price of

nexus9112 [7]

<h3>What is Cost Price?</h3>

This refers to the price which a seller or a merchant purchased a good and this would be a good determinant to find out the selling price so that he could make a good profit.

<h3>Selling Price</h3>

This refers to the price which a good is sold and there are several factors which are taken into account such as:

Expenses
Cost Price, etc.

Mathematically, the<em> profit= </em>Cost price - Selling Price (Expenditure)

Please note that your question is incomplete so I gave you a general overview so that you could have a better understanding of the concept.