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3 years ago

Triangle ABC is congruent to triangle DFE. Find y.

Mathematics

1 answer:

kirza4 [7]3 years ago

6 0

Angles D and A are equal (from the statement bc the name of triangle starts with A and D)

Now set an equation of the angles so
45 = 5y -10

Add 10 on both sides

55 = 5y
divide by 5

y = 11

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Step-by-step explanation:

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2 years ago

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Multiply and give the answer in scientific notation:

kakasveta [241]

Step-by-step explanation:

given

$(1.5 \times {10}^{4} )(8 \times {10}^{8} )$

in order to make multiplication easier we need to change the 1.5 into a whole number form.

thus

$(15 \times {10}^{ - 1} \times {10}^{4} )(8 \times {10}^{8} )$

$= (15 \times {10}^{4 - 1} )(8 \times {10}^{8} )$

First law of indices applied there

=(15×10^3)(8×10^8)

=(15×8)(10^3×10^8)

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2 years ago

1.3x - 10= 0.8x - 8 solve for x

OverLord2011 [107]

Answer:

x = 4

Step-by-step explanation:

1.3x - 10 = 0.8x - 8

Add 10 to both sides.

1.3x = 0.8x + 2

Subtract 0.8x from both sides.

0.5x = 2

Divide by 0.5.

x = 4.

Proof:

1.3x - 10 = 0.8x - 8

1.3(4) - 10 = 0.8(4) - 8

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-4.8 = -4.8

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2 years ago

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Find the midpoint of the line segment shown below.

balu736 [363]

Answer:

x²-6x+y²-4y=-4

Step-by-step explanation:

We know the circle equation stands like this:

(x-a)² + (y-b)² = R²

and (a,b) is center

and R stands for Radius

so in this case:

center = (3,2)

R = 3

(x-3)² + (y-2)² = 9

x²-6x+9 + y²-4y+4=9

x²-6x+y²-4y=-4

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2 years ago

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DanielleElmas [232]

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2 years ago

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