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2 years ago

For each set of three measures, determine if they can be angle measures of a triangle

Mathematics

1 answer:

Readme [11.4K]2 years ago

6 0

Answer:

Sum of all three angles =170

∘-180

Step-by-step explanation:

Solution

Correct option is

∘

,85

∘

,30

∘

Given set (A) 70

∘

,90

∘

,25

∘

Sum of all three angles =185

∘

>180

∘

This set cannot form a triangle

(B) 65

∘

,85

∘

,40

∘

Sum of all three angles =190

∘

>180

∘

This set cannot form a triangle

∘

,30

∘

Sum of all three angles =180

∘

This set can form a triangle

(D) 45

∘

,45

∘

,80

∘

Sum of all three angles =170

∘

<180

∘

This set cannot form a triangle

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For the triangles to be congruent by HL, what must be the value of x?

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Answer:

x = 8

Step-by-step explanation:

For the triangles to be congruent, then the legs

ED = AB, that is

4x + 2 = 34 ( subtract 2 from both sides )

4x = 32 ( divide both sides by 4 )

x = 8

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3 years ago

f this rectangle is moved backwards through space, what three-dimensional figure will be formed? A) cube. B) cylinder. C) rectan

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3 years ago

Tom's weekly salary increased from $240 to $288. What was the percent of change?

ElenaW [278]

Answer:

answer: increased 20%

Step-by-step explanation:

288 - 240 = 48

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2 years ago

Read 2 more answers

Find the factors of f(x), given that x = −2 is a zero. HELP PLEASE!!

seropon [69]

Answer:

First Option is correct.

(x+2)(x+3)(x-4)

Step-by-step explanation:

Given:

The given factor is.

$f(x)=x^{3}+x^{2}-14x-24$

We need to find the factors of given factor.

Solution:

$f(x)=x^{3}+x^{2}-14x-24$

Substitute (-4x-10x) in the place of -14x

$f(x)=x^{3}+x^{2}-4x-10x-24$

Rearrange the equation:

$f(x)=(x^{3}-4x)+(x^{2}-10x-24)$

Now we factorised the above equation.

The factors of $x^{2} -10x-24=(x+2)(x-12)$

Now we substitute (x+2)(x-12) in the place of $x^{2} -10x-24$

And in the place of $x^{3}-4x=x(x^{2}-4)$

$f(x)=x(x^{2}-4)+(x+2)(x-12)$

Simplify $x^{2} -4=x^{2} -(2)^{2} = (x+2)(x-2)$

$f(x)=x[(x+2)(x-2)]+(x+2)(x-12)$

Common factor for above function (x+2)

$f(x)=(x+2)[x(x-2)+(x-12)]$

Simplify.

$f(x)=(x+2)[x^{2}-2x+x-12]$

$f(x)=(x+2)(x^{2}-x-12)$

The factor of $x^{2}-x-12=x^{2}-4x+3x-12=x(x-4)+3(x-4)=(x-4)(x+3)$

So the factors of the function.

$f(x)=(x+2)(x-4)(x+3)$

Therefore, the factors of the given function are (x+2)(x-4)(x+3)

4 0

3 years ago

The average temperature over a 10-day period in Phoenix was 98 degrees. For the first six days, it was sunny, and the average te

lyudmila [28]

Answer:

Step-by-step explanation:

The average for the first 6 days was 100, and it ended up dropping overall by 2 for the average.

6 days=x/6=100

4 days=x/4=98/100

You can do 96+100/2 which is 98 degrees.

7 0

2 years ago