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3 years ago

PLEASE HELP! WILL GIVE BRAINLIEST ONLY CORRECT ANSWER!! URGENT!

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

7 0

Answer:

A) x > -8

Step-by-step explanation:

-4x < 32

-x < 8

x > -8

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Triangle XYZ is shown, where n ≥ 5. Triangle X Y Z is shown. The length of side X Y is n + 4, the length of side Y Z is 2 n, and

motikmotik

Answer:

The longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

Step-by-step explanation:

The lengths of the sides of the triangle XYZ are as follows:

XY = n + 4

YZ = 2n

ZX = n - 2

According to the triangle inequality theorem, the sum of two sides of a triangle is always greater than the third side.

Then,

XY < YZ + ZX ⇒ n + 4 < 2n + n - 2 ⇒ n + 4 < 3n - 2 ⇒ 2n > 6 ⇒ n > 3

YZ < XY + ZX ⇒ 2n < n + 4 + n - 2 ⇒ 2n < 2n + 2 ⇒ 0 < 2

ZX < XY + YZ ⇒ n - 2 < n + 4 + 2n ⇒ n - 2 < 3n + 4 ⇒ 2n > -6 ⇒ n > -3

It is provided that <em>n</em> ≥ 5.

Then the sides of the triangle are:

XY = n + 4 ≥ 5 + 4 = 9

YZ = 2n ≥ 2 × 5 = 10

ZX = n - 2 ≥ 5 - 2 = 3

So, the longest side of the triangle is YZ. And the shortest side is ZX.

The largest angle of a triangle is opposite to the longest side.

The angle opposite to YZ would be X. So, the largest angle is ∠X.

The smallest angle of a triangle is opposite to the shortest side.

The angle opposite to ZX would be Y. So, the smallest angle is ∠Y.

Thus, the longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

6 0

4 years ago

I don’t know how to do this . I need help

Akimi4 [234]

Its A because similar is same angles or sum like that and ABC is A15 B120 C is (180-135)=45 and JKL is J15 k(180-60)=120 and L45

5 0

3 years ago

What is the product of 47.55(8.4)?

Gre4nikov [31]

Answer:

399.420

Step-by-step explanation:

1) Use the algorithm method.

4 7 . 5 5

× 8 . 4

1 3 2 2

1 9 . 0 2 0

3 6 4 4

3 8 0 . 4 0 0

3 9 9 . 4 2 0

2) Therefore, $47.55\times 8.4=399.420$ .

399.420

5 0

2 years ago

Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mista

SSSSS [86.1K]

Complete Question:

Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future?

s(t)•h(t)= (3x-4)(2x-8)

= 6x² - 24x -8x - 32

= 6x² - 32x - 32

Answer:

Jamie made a mistake in his second line (6x² - 24x -8x - 32), by wrongly multiplying the operation signs. The last term should be +32, not -32.

Advice: Jamie should take note of the rule that applies when multiplying signs.

Step-by-step Explanation::

To find out where exactly Jamie made mistake, let's find the product of the given functions, step by step:

s(t)•h(t)= (3x-4)(2x-8)

Using distributive property, do the following:

$3x(2x - 8) -4(2x - 8)$

$3x*2x -3x*8 -4*2x -4*-8$

$6x^2 - 24x - 8x + 32$ (this is where Jamie made mistake. -4 * -8 = +32. NOT -32.)

Add like terms

$6x^2 - 32x + 32$

Jamie made a mistake in multiplying negative × negative. The last term in "6x² - 24x -8x - 32", should be +32. Negative × negative = +.

Therefore, it is advisable for Jamie to always take note of the rule that applies when multiplying signs.

8 0

3 years ago

-5=9+c/4 <br>please help me with this problem

DIA [1.3K]

Subtract 9 from both sides. Then you have -14=c/4. Multiply the number by 4. You now have -56=c. :)

7 0

3 years ago