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Citrus2011 [14]
3 years ago
13

When constructing parallel lines, how are the steps similar

Mathematics
1 answer:
butalik [34]3 years ago
7 0
A. Intersecting arcs are created and connected.
B. A protractor and ruler are used to take accurate measurements.
C. Four right angles are created.
D. There are no similarities.

2. Which step is included in the construction of inscribed polygons?

A. Measure the diameter of the circle with a straightedge.
B. Connect two arcs together with a compass.
C. Measure the length of each side with a straightedge.
D. Create a circle from a given center with a compass.

3. When constructing parallel lines, how can you be sure the lines you constructed are parallel?

A. See if the distance between the two lines is consistent with a compass.
B. Make sure the lines intersect at right angles with the corner of a piece of paper.
C. Measure each of the angles with a straightedge.
D. There is no way to ensure you have constructed parallel lines.

4. When constructing inscribed polygons and parallel lines, how are the steps different?

A. A protractor is used to take measurements
B. Four right angles are created.
C. A compass is used to copy an angle.
D. There are no similarities.
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A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that co
White raven [17]

Answer:

The value of x would be \frac{3}{5}y or \frac{3}{8}z

Step-by-step explanation:

Given,

x tons of 10% gravel G mixture is mixed with y ton of 2% gravel G to obtain  5% gravel mixture,

Thus, gravel G in x ton + gravel in y ton = gravel G in the resultant mixture,          

⇒ 0.1x + 0.02y = 0.05(x+y),

0.1x - 0.05x = 0.05y - 0.02y

0.05x = 0.03y

\implies x = \frac{0.03}{0.05}y=\frac{3}{5}y----(1)

Now, resultant mixture is z ton,

i.e. z=x+y

\implies y = z - x

From equation (1),

x=\frac{3}{5}(z-x) = \frac{3}{5}z-\frac{3}{5}x

x+\frac{3}{5}x=\frac{3}{5}z

\frac{8}{5}x=\frac{3}{5}z

x=\frac{3}{8}z

3 0
3 years ago
Last year there were 520 students enrolled at Olsen Middle School . This year there are 572 students enrolled. What is the perce
RSB [31]

Answer:

10%

Step-by-step explanation:

We have procent:

520 —-> 100%

572 ——> x%

So, it is:

520*x=572*100

X=57200/520=110%

110%-100%=10%

6 0
3 years ago
Write the compound inequality shown by the graph.<br> 20. 2QHHH<br> UNIT 4
belka [17]

Answer:

x ≥ 9 and x < 5

Step-by-step explanation:

See the line graph of a compound inequality shown in the attached photo.  

Inequality has two parts. The right-hand part is shown by an arrow that is more than 9 and including 9.

So, the equation of inequality for this part is x ≥ 9.

Again, the left-hand part of the inequality graph shows another arrow which is less than 5 but not including 5.

So, the equation of inequality for this part is x < 5

Therefore, compound inequality is x ≥ 9 and x < 5 (Answer)

3 0
4 years ago
On May 17th Jane took out a loan for $33,000 at 6% to open her law practice office the loan will mature the following year on Ja
frosja888 [35]

Answer:

$ 31050

Step-by-step explanation:

<em>Step 1 : Write the formula for calculating simple interest.</em>

Simple Interest = <u>P x R x T </u>

                                100

P: Principal Amount-The loan taken (30,000)

R: Interest rate at which the loan is give (6)

T: Time period of the loan in years-there are 12 months in 1 year. There are 7 months from May till June (7/12)

<em>Step 2: Substitute values in the formula</em>

Simple Interest = <u>30,000 x 6 x 7/12</u>

                                       100

Simple Interest = $1050

<em>Step 3: Calculate the amount due at maturity</em>

At the maturity or the end of the time period given, the original or principal amount of the loan has to be repaid along with the simple interest.

Amount at maturity = Principal Amount + Simple Interet

Amount at maturity = 30,000 + 1050

Amount at maturity = $31050

!!

4 0
3 years ago
How can you use the x and y axis to help you determine unit rate?
leonid [27]

Answer:

x and y can help you show you the constant rate or the unit rate

Step-by-step explanation:

if you use a graph you can see that x mutipley my a certain number gets you y

6 0
3 years ago
Read 2 more answers
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