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Olenka [21]
1 year ago
12

If ∆ABC and ∆GEF are congruent, the value of x is___? and the value of y is ___?

Mathematics
2 answers:
attashe74 [19]1 year ago
7 0

<u>Answer-</u>

<em>The value of y is </em><em>6 units</em><em>.</em>

<u>Solution-</u>

Given ∆ABC ≅ ∆GEF

If two triangles are congruent, then the corresponding sides are also congruent.

So,

EF = BC, GF = AC

Putting the values,

\Rightarrow x-y=4 --------------1

\Rightarrow x-8=2

\Rightarrow x=10 --------------------2

Putting the values of x in equation 1,

\Rightarrow 10-y=4

\Rightarrow y=10-4=6

Therefore, the value of y is 6 units.

Kisachek [45]1 year ago
7 0

Answer:

x=10 and y=6

Step-by-step explanation:

he explained it above/below but only provided one answer

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It is recommended that adults consume at least 1,000 mg of calcium every day.

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Step-by-step explanation:

Let, x be the quantity of milk in ounces and y be the quantity of cheddar cheese in ounces.

A person meets the recommendation, if

25x+200y\geq 1000

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25(50)+200(2)\geq 1000

1250+400\geq 1000

1650\geq 1000

This statement is true. So, option A is correct.

Similarly,

For option B,

Substitute x=0 and y=4.5 in the given inequality.

25(0)+200(4.5)\geq 1000

900\geq 1000

This statement is false. So, option B is incorrect.

For option C,

Substitute x=10 and y=3 in the given inequality.

25(10)+200(3)\geq 1000

850\geq 1000

This statement is false. So, option C is incorrect.

For option D,

Substitute x=39 and y=0 in the given inequality.

25(39)+200(0)\geq 1000

975\geq 1000

This statement is false. So, option D is incorrect.

Therefore, the correct option is only A.

3 0
2 years ago
Fred earns $16.50 an hour for overtime. He worked overtime on Monday and Thursday this week. On Monday, he worked 4 hours of ove
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Answer:

3.5 hours

Step-by-step explanation:

16.50*4=$66

123.75-66=57.75

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4 0
1 year ago
An ice cream stand uses the expression 2 + 0.5x2+0.5x2, plus, 0, point, 5, x to determine the cost (in dollars) of an ice cream
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Answer:

An ice cream cone with 5 scoops cost is, $4.5

Step-by-step explanation:

As per the statement:

An ice cream stand uses the expression 2+0.5x to determine the cost of an ice cream cone that has x scoops of ice cream.

⇒ Cost of an ice cream cone C(x) = 2+0.5x         .....[1]

Given: x = 5 scoops

We have to find the cost of an ice cream cone with 5 scoops cost.

Substitute the given value of x =5 in [1] we have;

C(5) = 2+0.5(5)

C(5) = 2+0.5 \times 5 = 2 + 2.5 = $4.5

Therefore, an ice cream cone with 5 scoops cost is, $4.5

3 0
1 year ago
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Three cats and three dogs, A, B, C, D, E, and F, live on a street in three different-coloured houses. Each house hosts one cat a
vaieri [72.5K]

Answer:

1) A is a cat; B is a dog; C is a cat; D is a dog; E is a dog; F is a cat

2) A lives with B in a yellow house; C lives with D in a blue house; E lives with F in a red house.

Step-by-step explanation:

Step 1: First we identify the animals as cats or dogs

A is a cat

B is a Dog

Since B can live with C, C is a cat

Since D can live with A, D is a dog

F is a cat since it can live with D

E is therefore, a dog

Step 2: We then identify the house each two animals live in pairs of a cat and a dog

D lives in a blue house

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C lives with D in a blue house since D does not live with either A or F

E lives in a red house since it does not live with A or in a yellow house

F lives with E in a red house since E does not live with A

Therefore, B lives with A in a yellow house

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