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love history [14]
2 years ago
15

Need help anyone please

Mathematics
1 answer:
Lorico [155]2 years ago
3 0

Whenever <u>two</u> or <u>more</u> lines <em>intersect </em>at a point, an <em>angle</em> is usually produced. And some of these angles formed may have <u>common </u>properties, and thus be <em>congruent</em>.

The appropriate reasons for the given <u>statements</u> in the question are given below:

         STATEMENT                                          REASON

1. <1 ≅ <2                                                <u>Vertical</u> <em>Angle</em> theorem

2. <1 and <2 are complementary            

   <2 and <3 are complementary        <em>Congruent Complements</em> Theorem

3. <1 and <2 are supplementary              

   <2 and <3  are supplementary        <u>Congruent</u> Supplements

4. <1 and <2 are right angles               All<em> Right Angles</em> are Congruent

5. <1 ≅ <2,

   <1 and <2    are supplementary         If two angles are <u>congruent</u> and

                                                               <u>supplementary</u>, then each angle is

                                                               a <em>right angle</em>.

For more clarifications on the properties of complementary and supplementary angles, visit: brainly.com/question/14941189

#SPJ1

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You plan on purchasing a car in the next year. The car that you are interested in lists for $23,000 after taxes, license, and do
oksano4ka [1.4K]

Answer:

c. 8 months.

Step-by-step explanation:

First off let's get the current total of how much we have saved.

2/3 of $23,000 = 15,333.33.

Now we need to get our total salary to calculate for our Social Security and Medicare.

Total Salary : $1312.00 x 2 = $2,624.00

Social Security : 6.2% or 0.062 x 2,624 = $162.69

Medicare : 1.45 or 0.0145 x 2,624 = $38.05

Now that we have our Social Security and Medicare, we can then solve for our taxes.

Taxes: $53 + $101.35 = 154.35 x 2 = $308.7

Now we can add our monthly expenses to the other expenses.

Monthly Expenses : $1,150.12

1,150.12 + 162.69 + 38.05 + 308.7

= $1659.56 Total Expenses.

Now that we have our total expenses we simply subtract it to our monthly salary.

2624.00-1659.56

= $964.44 Extra Money Monthly

Now we proceed to solve for how much more we need to make the total payment.

23000 - 15,333.33

= 7666.67

Now that we have out total balance, we just need to divide the balance to our extra money monthly.

7666.67 / 964.44

= 7.949 Months or 8 Months

6 0
3 years ago
3(9z+4) &gt; 35z - 4<br> What is z
attashe74 [19]

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Use a table to identify three equivalent ratios of 2/5.
zlopas [31]

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7 0
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Mary buys hamburger buns in packs of 8 for $3. Mary has only $30 to spend. How many packs
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answer:

10 packs

Step-by-step explanation:

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Rsm question please explain<br> The question is in the picture
strojnjashka [21]

A triangle is a three-edged polygon with three vertices. ΔAKE and ΔCKP are congruent.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.

In ΔABC, since AB≅BC, therefore, the triangle will be an isosceles triangle, and the measure of ∠A ≅ ∠C, using the base angle theorem.

Now In ΔAKE and ΔCKP,

∠A ≅ ∠C {Proved above}

∠AKE ≅ ∠CKP {Given}

AK ≅ KC {Given }

Since two angles and a side of the triangle are equal, therefore, we can write the two triangle are congruent using the Side-angle-side or Angle-Side-Angle congruence.

Hence, ΔAKE and ΔCKP are congruent.

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brainly.com/question/2773823

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