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Leviafan [203]
3 years ago
15

Billy-Bob has a piggy-bank filled with nickels and quarters totaling $11.90.

Mathematics
1 answer:
Lunna [17]3 years ago
4 0

Answer:

x = 33

y = 41

Step-by-step explanation:

GIven

x: number of nickels

y: number of quarters

A nickel = $0.05

A quarter = $0.25

then we have the system of equations

0.05*x + 0.25*y = 11.90

x + y = 74

Which can be solved applying any of known methods. Then, the solution is

x = 33

y = 41

hope this was helpful.

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3. Given ABCD ≅ FGHJ and mC = 9x - 7, mH = 5x + 13, find the value of x and the measures of angle C and angle H. Show all work
kondor19780726 [428]

Answers:

x = 5

m∠C = m∠H = 38 degrees

 

 

WORKINGS

 

Given that ABCD ≅ FGHJ

We know that corresponding angles of two congruent quadrilaterals are equal

Therefore,

m∠A = m∠F

m∠B = m∠G

m∠C = m∠H

m∠D = m∠I

 

Given,

m∠C = 9x – 7

m∠H = 5x + 13

 

Since m∠C = m∠H

9x – 7 = 5x + 13

 

Add 7 to both sides of the equation

9x – 7 + 7 = 5x + 13 + 7

9x = 5x + 20

 

Subtract 5x from both sides of the equation

9x – 5x = 5x – 5x + 20

4x = 20

 

Divide both sides of the equation by 4

4x/4 = 20/4

x = 5

 

 

To determine the measures of angle C and angle H

m∠C = m∠H

 

We know that m∠C = 9x – 7

Since x = 5

m∠C = 9(5) – 7

m∠C = 45 – 7

m∠C = 38

 

Therefore, m∠C = m∠H = 38 degrees
4 0
3 years ago
RSM HW PLEASE HELPPPPPPPPPPPPP ASAP
Maksim231197 [3]

Answer:

congruent SAS

Step-by-step explanation:

We know two sides of the triangles are congruent to each other

MD = MT

and MA = MU

We also know that <DMA = < TMU

Two sides and the included angle

We can use SAS to show that the triangles are congruent

7 0
2 years ago
Read 2 more answers
Which expression is equivalent to 4√147 <br> A. 28√3 <br> B. 12√7 <br> C. 3√7
grin007 [14]

Answer:

(A) 28 squared 3

Step-by-step explanation:

8 0
3 years ago
Kareem purchased several packs of gum to place in gift baskets for $1.26 each. He spent a total of $8.82. How many packs of gum
777dan777 [17]

Answer: 7 packs of gum.

Step-by-step explanation:

If the total amount of the purchase is $8.82 and the individual price is $1.26, to find out how many packs Kareem purchased, we need to divide the total amount spent ($8.82) by the amount of each pack ($1.26), so:

8.82 ÷ 1.26 = 7

So, Kareem bought 7 packs of gum.

5 0
3 years ago
5.<br> Complete the table of values for y = -2x + 11.<br><br> Please help ❤️
lisabon 2012 [21]

Answer:

In the explanation

Step-by-step explanation:

x = 0, y = -2*0+11=11

x = 1, y = -2*1+11=9

x = 4, y = -2*4+11=3

Hope this helps!

6 0
3 years ago
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