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AysviL [449]
3 years ago
5

Given: ∠1 , ∠2 , ∠3 , and ∠4 formed by two intersecting segments. Prove: ∠1 and ∠3 are congruent. The figure shows 2 intersectin

g lines. One line rises from left to right and the other line falls from left to right. The 4 angles formed moving clockwise as angles 1, 2, 3, and 4. Drag the answers into the boxes to correctly complete the proof.

Mathematics
2 answers:
Shkiper50 [21]3 years ago
8 0

Answer:

Angle 1 and angle 3 are congruent by Vertical Angle theorem. It can also be proven using reflection.

Step-by-step explanation:

Two line segments which intersect form one intersection point which has 4 angles from it. Angles 1 and 3 will be directly across from each other off this intersection point. Vertical Angle Theorem states these are congruent.

Angles can be reflected across this intersection point. Since reflection preserves size and shape, these two angles will land on one another and be the same angle.

notsponge [240]3 years ago
5 0

Answer:

1 ) definition of a linear pair

2 ) substitution property

3 ) subtraction property of equality

4 ) angle congruence postulate

Step-by-step explanation:

Just took the test, hope this helped :)

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8 0
3 years ago
Using the formula in model 1, choose the correct answers for the total amount and amount of interest earned in the following com
DIA [1.3K]

The total amount is $ 1015.82 and interest amount is $ 165.82

<em><u>Solution:</u></em>

<em><u>The formula for amount when interest is compounded annually is:</u></em>

\mathrm{A}=P\left(1+r}\right)^{n}

Where,

"A" is the total amount

"P" is the principal

"r" is the rate of interest in decimal form

"n" is the number of years

<em><u>From given, $850 at 2% for 9 years, compounded annually</u></em>

P = 850

t = 9 years

r = 2 \% = \frac{2}{100} = 0.02

<em><u>Substituting the given values we get,</u></em>

A = 850(1+0.02)^9\\\\A = 850 \times 1.02^9\\\\A = 850 \times 1.1950\\\\A = 1015.82

Thus total amount is $ 1015.82

Interest amount = Total amount - principal

Interest amount = 1015.82 - 850

Interest amount = 165.82

Thus total amount earned is $ 1015.82 and interest amount is $ 165.82

7 0
3 years ago
Please could you help me with these questions! they would be quick
nalin [4]

Answer:

Where are the questions....?

5 0
3 years ago
Read 2 more answers
Justify each step.<br> 15. 2x – 5 = –20<br> 2x = -15<br> x=_15
Dimas [21]
1st: add 5 to each side
2nd: divide by 2 on each side
5 0
3 years ago
The dot plot shows how much hairdressers in Margot's area charge for a woman's haircut. The least expensive cut is $25. Margot d
qaws [65]

Answer:

The center of the plot is at $36 rather than $37

Center = $ 36

Step-by-step explanation:

The description by Margot is accurate except for the following observation

From the dot plot there are 31 dots, therefore, the center should be at the median mark of the dot plot of the graph which is the 16th dot.

By looking at the dot plot it is observed that both 16th dot and the middle of the cluster are located on the $37.

That is the point where Margot make an error is defining the center as $37, where the center is observed to be $36.

5 0
3 years ago
Read 2 more answers
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