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3 years ago

Is the triangle congruent? If so, please state how you know.

Mathematics

1 answer:

fomenos3 years ago

5 0

I think yes because they are both the same (or congruent) because they both equal 180°

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Can someone please help with number 2?

LenaWriter [7]

Just multiply 1/6 it's the scale factor so it'll tell you how you will shrink or enlarge the length

3 0

3 years ago

A carpenter is assigned the job of expanding a rectangular deck where the width is one-fourth the length. the length of the deck

anzhelika [568]

Alright, lets get started.

Suppose the original deck size: width = x feet

the width is one-fourth the length given in question means length = 4 x feet

Means the originally area = $x * 4 x = 4 x^{2}$

Now the dimensions are changed.

New dimensions, width = (x + 6)

new length = (4x+10)

So, new area will be = $(x+6) * (4x+10) = 4x^{2} + 10 x + 24 x + 60 = 4x^{2} + 34 x + 60$

the area of the new rectangular deck is 128 ft2 larger than the area of the original deck, means

$4x^{2} + 128= 4x^{2} + 34 x + 60$

Subtracting $4x^{2}$ from both sides

$128 = 34 x + 60$

Subtracting 60 from both sides

$128 - 60 = 34 x + 60 - 60$

$68 = 34 x$

Dividing 34 in both sides

$\frac{68}{34} = \frac{34 x }{34}$

$x = 2$

Means width = 2 feet

Length would be = 4 time width = 4 * 2 = 8 feet

Means dimension of original deck would be = 2 feet and 8 feet :Answer

Hope it will help :)

8 0

3 years ago

Write mixed number for p so that 3 1/4 × p is more than 3 1/4

Sholpan [36]

Answer:

1 3/5

Step-by-step explanation:

Anything larger than 1 multiplied by 3 1/4 would result in a number more than 3 1/4.

8 0

3 years ago

Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below her.

Paul [167]

Answer:

98 or 105

Step-by-step explanation:

3 0

3 years ago

Find the product of (x2 + 2x −3)(4x2 − 5x + 6). (2 points) a 4x4 + 13x3 − 16x2 + 27x − 18 b 4x4 + 3x3 − 28x2 + 27x − 18 c 4x4 +

skad [1K]

Answer:

Step-by-step explanation:

We want to find:

$(x^2+2x-3)(4x^2-5x+6)$

Distribute:

$=(x^2+2x-3)(4x^2)+(x^2+2x-3)(-5x)+(x^2+2x-3)(6)$

Distribute:

$=(4x^4+8x^3-12x^2)+(-5x^3-10x^2+15x)+(6x^2+12x-18)$

Rearrange:

$=(4x^4)+(8x^3-5x^3)+(-12x^2-10x^2+6x^2)+(15x+12x)+(-18)$

Combine like terms:

$=4x^4+3x^3-16x^2+27x-18$

The answer is D.

6 0

3 years ago