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3 years ago

Which of the following could not be a value of x? a -10 b-9 c-10.5 d-9.5

Mathematics

1 answer:

maw [93]3 years ago

7 0

We know that sum of two sides in any triangle must be greater than the measure of third (longest) side otherwise triangle will not be formed.

According to picture longest side is 18

So this triangle must follow inequality

9+x>18

or 9-9+x>18-9

or x>9

that means value of x must be more than 9.

choices a, c, d are greater than 9 except choice b

Hence choice B-9 is the final answer.

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3 years ago

Read 2 more answers

PLSS HELPP BRAINLIEST AND 65 POINTS pls do the graph too

Eddi Din [679]

Answer:

$\Large \boxed{ -x+65}$

Step-by-step explanation:

Two points are (0, 65) and (10, 55)

Calculate slope m

$\displaystyle m=\frac{y_2 - y_1}{x_2 - x_1}$

$\displaystyle m=\frac{55-65}{10-0}=-1$

Use slope-intercept form

$y=mx+b$

$y=-1x+b$

b is the y-intercept, y-intercept is (0,65)

$y=-1x+65$

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3 years ago

Which expressions have exactly two factors? Choose ALL that apply.

marishachu [46]

Answer: The answer is F.

Step-by-step explanation: It’s F because the number would be multiplied equally because all of the number are multiplied by 2. The rest of them either have variables or variables with numbers in them, which looks kind of funky, so F is the answer. I hope you get it right :). Sorry, if I was late for the reply and if you already figured it out… :(.

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3 years ago

Special right triangles.

Oliga [24]

QUESTION 9

The given right angle triangle has its two legs equal to $x\:cm$ and the hypotenuse is $2\:units$ .

Using the Pythagoras theorem, we have

$x^2+x^2=2^2$

This implies that;

$2x^2=2^2$

$2x^2=4$

$x^2=2$

$x=\sqrt{2}$

$x=1.414$

$x\approx1.4\:units$

QUESTION 10

The given right angle triangle has its two legs equal to $x\:units$ and the hypotenuse is $7\:units$ .

Using the Pythagoras theorem, we have

$x^2+x^2=7^2$

This implies that;

$2x^2=7^2$

$2x^2=49$

$x^2=24.5$

$x=\sqrt{24.5}$

$x=4.95\:units$

QUESTION 11

Sam divided the square backyard into two sections along the 40ft diagonal.

Let one of the sides of the garden be $x\:units$ , then the other side of the garden is also $x\:units$ since it was a square backyard.

The diagonal is the hypotenuse which is 40ft and the two legs are $x\:units$ each.

Applying the Pythagoras Theorem, we have;

$x^2+x^2=40^2$

$2x^2=1600$

$x^2=800$

$\Rightarrow x=\sqrt{800}$

$\Rightarrow x=28.28$

The length of one side of the garden is approximately 28cm.

QUESTION 12

The hypotenuse of Nicole's right triangular support is 92cm long.

It was given that the two lengths of the triangular support are of equal length.

Let the two lengths of the triangular support be $l\:cm$ each.

We then apply the Pythagoras theorem to obtain;

$l^2+l^2=92^2$

$\Rightarrow 2l^2=8464$

$\Rightarrow l^2=4232$

$\Rightarrow l=\sqrt{4232}$

$\Rightarrow l=65.05cm$

Therefore Nicole needs $l+l=65.05cm+65.05cm\approx130cm$ of wood to complete the support.

The correct answer is A.

QUESTION 13

A 45-45-90 triangle is an isosceles right triangle.

Let the length of the two legs be $m\:inches$ each.

It was given that the hypotenuse of this triangle is $12\:inches$ .

Applying the Pythagoras Theorem, we have;

$m^2+m^2=12^2$

$\Rightarrow 2m^2=144$

$\Rightarrow m^2=72$

$\Rightarrow m=\sqrt{72}$

$\Rightarrow m=8.49$

The length of one leg of the hypotenuse is approximately 8.5 inches to 1 decimal place.

QUESTIONS 14.

It was given that the distance from home plate to first base is 90 feet.

Since the baseball field form a square, the length of the baselines are all 90ft.

We want to calculate the distance from home plate to 2nd base,which is the diagonal of the square baseball field.

Let this distance be $d\:ft$ , then using the Pythagoras theorem;

$d^2=90^2+90^2$

$d^2=8100+8100$

$d^2=16200$

$\:d=\sqrt{16200}$

$\:d=127.279$

Therefore the distance from home plate to second base is 127 ft to the nearest foot.

QUESTION 15.

The distance from third base to first base is also 127 ft to the nearest foot.

The reason is that the diagonals of a square are equal in length.

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3 years ago

1.a) Convert 81° into grade. 10

Kazeer [188]

Step-by-step explanation:

I hope it helps man this much .

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3 years ago