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3 years ago

Midpoints H is the midpoint of iJ, and IH, = 0.75. What is the value of HJ?

Mathematics

1 answer:

Grace [21]3 years ago

6 0

IH + HJ = 2 (IH)

0.75 + HJ = 2(0.75)

0.75 + HJ = 1.5

HJ = 1.5 - 0.75

HJ = 0.75

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An ice chest contains 3 types of drinks: 10 apple juries 15 grape juices and 15 bottles of water what is the probability of gett

Anna [14]

Answer: $\dfrac{3}{8}$

Step-by-step explanation:

Given: An ice chest contains 3 types of drinks: 10 apple juries 15 grape juices and 15 bottles of water.

Total drinks= 10+15+15 = 40 (Total outcomes)

Number of drink that does not contain fruit juice = Number of bottles of water = 15 (Favorable outcomes)

The probability of getting a drink that does not contain fruit juice = $\dfrac{Favorable\ outxcomes}{Total\ outcomes}$

$=\dfrac{15}{40}\\\\=\dfrac{3}{8}$

So, the required probability = $\dfrac{3}{8}$ .

7 0

3 years ago

Select all the statements that are true.

alexgriva [62]

Answer:

The product of 8x(5x−6) is 40x^2−48x

The product of (x−3)(5x−6) is 5x^2−21x+18

Step-by-step explanation:

<u><em>Verify each option</em></u>

Part 1) The product of 8x(5x−6) is 40x^2−48x

we have

$8x(5x-6)$

Applying distributive property

$8x(5x)-8x(6)\\40x^2-48x$

Compare with the given value

$40x^2-48x=40x^2-48x$

therefore

The statement is true

Part 2) The product of −4x(2x2+1) is −8x^3−5x

we have

$-4x(2x^{2}+1)$

Applying distributive property

$-4x(2x^{2})-4x(1)\\-8x^3-4x$

Compare with the given value

$-8x^3-4x \neq -8x^3-5x$

therefore

The statement is not true

Part 3) The product of (x−3)(5x−6) is 5x^2−21x+18

we have

$(x-3)(5x-6)$

Applying distributive property

$x(5x)-x(6)-3(5x)+3(6)\\5x^2-6x-15x+18\\5x^2-21x+18$

Compare with the given value

$5x^2-21x+18=5x^2-21x+18$

therefore

The statement is true

Part 4) The product of (2x+3)(x^2+3x−5) is 2x^3+9x^2+9x−25

we have

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

Applying distributive property

$(2x)(x^2+3x-5)+(3)(x^2+3x-5)\\(2x^3+6x^2-10x)+(3x^2+9x-15)\\2x^3+9x^2-x-15$

Compare with the given value

$2x^3+9x^2-x-15 \neq 2x^3+9x^2+9x-25$

therefore

The statement is not true

8 0

3 years ago

The sum of three consecutive integers is 261 , which equation could be used to find the integer .

Allisa [31]

Answer:

You got it wrong, its the first option

Step-by-step explanation:

Since its not asking for a consectuive EVEN or ODD integer its not

X + X+2 + X+4...

Instead its just the normal way

X + X+1 + X+2 + X+3....

SO thats the correct answer.

4 0

3 years ago

The length of the hypotenuse of a right triangle is 34 inches and the length is 34 inches and the length of one of its legs is 1

nata0808 [166]

Answer:

The length of the other leg of this right angled triangle is 30 inches.

Step-by-step explanation:

We are given the following in the question:

A right angles triangle with the hypotenuse of 34 inches and the length of one of its legs is 16 inches.

Pythagoras theorem:

The sum of of square of two sides of a triangle is equal to the square of the hypotenuse.

Let x inches be the length of the other leg of this right triangle.

Thus, we can write the equation:

$x^2 + (16)^2 = (34)^2\\x^2 + 256 = 1156\\x^2 = 900\\x = 30$

Thus, the length of the other leg of this right angled triangle is 30 inches.

3 0

3 years ago

Which represents the value of Point on the number line?

melomori [17]

Answer:

Step-by-step explanation:

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3 years ago