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3 years ago

Translate the word phrase into an algebraic expression.

Mathematics

1 answer:

Lerok [7]3 years ago

3 0

Answer:

61 + x

The sum of two valies are what you get if you add them together. So the sum of 61 and x is written as 61 + x

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PLEASE HELP I WILL MARK BRAINLIEST IF CORRECT!

Amanda [17]

Answer:

A. 14 is Answer

Step-by-step explanation:

because of cross multiplay so

4 0

3 years ago

Use the diagram and the given angle measure to find the other three angle measures

svetoff [14.1K]

By using the diagram and the given angle measure we get that:

if, m∠1 = 143°

then, m∠2 = 37°

m∠3 = 143°

m∠4 = 37°

What is angles?

An angle is formed when two straight lines or rays meet at a common endpoint.

What is Properties of Congruence?

Reflexive Property:

For all angles A ,

∠A≅∠A .

An angle is congruent to itself.

Symmetric Property:

For any angles A and B ,

if ∠A≅∠B , then ∠B≅∠A .

Order of congruence does not matter.

Transitive Property:

For any angles A,B, and C ,

if ∠A≅∠B and ∠B≅∠C , then ∠A≅∠C .

If two angles are both congruent to a third angle, then the first two angles are also congruent.

I assume that, this refers to two intersecting lines which form four angles.

∠1 and ∠2 are supplementary angles whose sum is 180°.

∠1 + ∠2 = 180°

143° + ∠2 = 180°

∠2 = 180° - 143°

∠2 = 37°.

∠1 and ∠3 are vertical angles so do with ∠2 and ∠4.
Therefore, it is easy to find their measures because vertical angles are congruent in measure.

It means that, ∠1 = ∠3 =143° (properties of congruency)

and ∠2 = ∠4 =37° (properties of congruency).

Find out more about angles and congruent angles:

brainly.com/question/25716982

#SPJ1

5 0

1 year ago

Cheryl is planning to go to a four-year college in two years. She develops a monthly savings plan using the estimates shown. Wha

Alik [6]

Answer:

$541.67 per month

Step-by-step explanation:

Tuition and other expenses = $8,250 per semester.

There are two semesters in a year

She has 4 years to spend

Total semester=4years*2semesters

=8 semesters

4 years in college which is a total of 8 semesters.

Total Tuition and other expenses = $8,250 * 8

= $66,000

She needs a total of $66,00 to complete her college

Assistance from parents=$15,000

Financial aid(per semester)=$4750

Total financial aid=$38,000

Total assistance=

Assistance from parents+ financial aid

=$15000+$38,000

=$53,000

Total savings=Total amount needed - Total assistance

=$66,000 - $53,000

=$13,000

She needs to save $13,000 in two years

There are 12 months in one year

2 years=2*12=24 months

Monthly savings=Total savings/24 months

=$13,000/24

=$541.666666

To the nearest cent

=$541.67

3 0

4 years ago

Bailey wants to buy a house, paying approximately $1000 per month. The bank estimates a 4.5% annual interest rate for 15 years.

iren2701 [21]

Answer:

I=Principle × Rate × Time so 1000×4.5/100 × 15yrs

3 0

3 years ago

3. Caleb has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and mini-notebooks cost $2.50 each

Snowcat [4.5K]

Answer:

linear equation in Standard form that can be used to determine how many of each prize Caleb can buy is $1.25x+ 2.50y = 25$

Step-by-step explanation:

Given:

Total cost spent on prizes for games = $25

Cost of one lip balm = $1.25

Cost of one mini notebook = $2.50

A) linear equation in STANDARD FORM that can be used to determine how many of each prize she can buy.

Let the number of lip balms be x and the number of mini note books be y. Then

$1.25x+ 2.50y = 25$

B. Graph the equation using x- and y- intercepts.

Now by trial and error method

$1.25(0)+ 2.50(10) = 25$

$1.25(2)+ 2.50(9) = 25$

$1.25(4)+ 2.50(8) = 25$

$1.25(6)+ 2.50(7) = 25$

$1.25(8)+ 2.50(6) = 25$

$1.25(10)+ 2.50(5) = 25$

$1.25(12)+ 2.50(4) = 25$

$1.25(14)+ 2.50(3) = 25$

$1.25(16)+ 2.50(2) = 25$

$1.25(18)+ 2.50(1) = 25$

$1.25(20)+ 2.50(0) = 25$

Thus Caleb can buy 0,2,4,6,8,9,10,12,14,1,6,18,20 lip balms and

0,1,2,3,4,5,6,7,8,9,10 mini note books respectively

Now plotting these value in the graph, we get the below graph

3 0

4 years ago