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Mnenie [13.5K]
3 years ago
10

List three different combinations of coins, each with a value of 140% of a dollar

Mathematics
1 answer:
Agata [3.3K]3 years ago
5 0

Answer:

1) 14 dimes

2) 5 quarters 3 nickels

3) 140 pennies

4) 28 nickels

5) 4 quarters 4 dimes

6) 10 dimes 4 nickels

Step-by-step explanation:

140% = $1.40

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3 years ago
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Use the Side, Side, Side Rule (SSS) to prove that the triangles in each pair are congruent. Draw hash marks to show the congruen
weeeeeb [17]

Answer:

(1) ΔMAN ≅ ΔBOY

(2) ΔMAT ≅ ΔRUG

(3) ΔEBN ≅ ΔUHR

(4) ΔTOP ≅ ΔLID

(5) ΔCAT ≅ ΔDOG

(6) ΔITP ≅ ΔLOH

Step-by-step explanation:

The following combinations of the congruent triangle facts will be sufficient to prove triangles congruent.

The combinations are:

(1) SSS (side-side-side) : If three sides of a triangle are congruent to three sides of another triangle then the triangles are congruent.

(2) SAS (side-angle-side) : If two sides and included angle of a triangle are congruent to another triangle then the triangles are congruent.

(3) ASA (angle-side-angle) : If two angles and included side of a triangle are congruent to another triangle then the triangles are congruent.

(4) RHS (right angle-hypotenuse-side) : If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent.

Part (1):

As we are given two triangles.

Side AM = Side OB

Side MN = Side BY

Side AN = Side OY

That means,

ΔMAN ≅ ΔBOY

Part (2):

As we are given two triangles.

Side MA = Side RU

Side MT = Side RG

Side AT = Side UG

That means,

ΔMAT ≅ ΔRUG

Part (3):

As we are given two triangles.

Side EB = Side UH

Side BN = Side HR

Side NE = Side RU

That means,

ΔEBN ≅ ΔUHR

Part (4):

As we are given two triangles.

Side OT = Side IL

Side OP = Side ID

Side PT = Side DL

That means,

ΔTOP ≅ ΔLID

Part (5):

As we are given two triangles.

Side AC = Side OD

Side AT = Side OG

Side TC = Side GD

That means,

ΔCAT ≅ ΔDOG

Part (6):

As we are given two triangles.

Side TP = Side OH

Side IT = Side LO

Side IP = Side LH

That means,

ΔITP ≅ ΔLOH

6 0
3 years ago
A gravel company sells gravel by the cubic yard and charges a flat delivery fee. The table shows the total cost C based on the a
Sergio039 [100]

Answer:

<h2>$60.</h2>

Step-by-step explanation:

The cost for 0 cubic yards of gravel refers to the y-intercept of the function.

First, we find the constant ratio of change

r=\frac{284-124}{7-2}=\frac{160}{5}=32

The constant ratio of change is 32, that means the cost per cubic yard of gravel is $32.

Now, we just subtract this ratio twice to find the relations until we have x = 0.

124 -32= 92

So, for 1 cubic yard, the cost is $92.

92-32=60

For 0 cubic yards, the cost is $60, that's the y-intercept or the initial condition.

Therefore, the answer is $60.

6 0
3 years ago
What is 6% of 20,200
chubhunter [2.5K]
The answer of 6% of 20,200 is 1,212
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A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 18 feet m
Marysya12 [62]

Answer: The dimensions of the flower bed are,

39 ft, 57 ft and 78 ft.

Step-by-step explanation: Of the three sides, one side is twice the length of the shortest. Let the shortest side be labelled as b. That means one of the sides of the flower bed measures twice b, that is, 2b.

Also we are told that the third side measures 18 feet more than the shortest side, b. The third side can now be represented by b + 18.

So the triangle has sides

b, 2b and b + 18

If the perimeter is 174, then

b + 2b + (b + 18) = 174

b + 2b + b + 18 = 174

4b + 18 = 174

Subtract 18 from both sides of the equation

4b = 156

Divide both sides of the equation by 4

b = 39.

Therefore the shortest side of the triangle measures 39 ft while the other two sides measure 78 ft (twice the length of b) and 57 ft (18 ft more than the shortest side)

8 0
3 years ago
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