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3 years ago

The measures of three angles in a triangle are as follows:

Mathematics

2 answers:

muminat3 years ago

6 0

Sorry I’m not sure !

Mrac [35]3 years ago

3 0

Answer:

m∠W = 55°

m∠Y = 45°

m∠Z = 80°

Step-by-step explanation:

In order to solve this problem we need to know that the sum of all angel of the triangle is 180°. Knowing this we can make an equation.

m∠W + m∠Y + m∠Z = 180°

Now we can substitute the angle values and find out what x is equal to. So we do...

(x - 15)° + (3x -165)° + 80° = 180°

x° - 15° + 3x° - 165° + 80° = 180°

4x° - 100° = 180°

4x° = 180° + 100°

4x° = 280°

x° = 70°

x = 70

Now we substitute the x and get the measurements of the angels.

m∠W = x° - 15° = 70° - 15° = 55°

m∠Y = 3x° - 165° = 210° - 165° = 45°

m∠Z = 80°

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Which shows one way to determine the factors of x3 11x2 – 3x – 33 by grouping? x2(x 11) 3(x – 11) x2(x – 11) – 3(x – 11) x2(x 11

Aloiza [94]

The one way to determine factors of x³ + 11x² – 3x – 33 will be $x^2(x+11)-3(x+11)_$ .

<h3>What is a factorization?</h3>

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The steps involved in the factorization are;

1. For each pair of parentheses, we create a common factor.

2. We use x2 as a common factor for the first parenthesis.

3. We use common factor 3 for the second parenthesis.

$x^3 + 11x^2 - 3x -33 \\\\ x^2(x+11)-3(x+11)_$

We will find the final solution as $x^2(x+11)-3(x+11)_$ .

Hence the one way to determine factors of x³ + 11x² – 3x – 33 will be $x^2(x+11)-3(x+11)_$ .

To learn more about the factorization refer to the link;

brainly.com/question/24182713

3 0

2 years ago

If you go out to eat with 3 friends and your meal was $72.50, what should you leave for gratuninty if you want to tip your waite

kvv77 [185]

Answer:

$10.88 or round up to $11

Step-by-step explanation:

Since 15 is expressed as a percent, you can convert it to a decimal.

.15, which can also be 15/100 if you were to write it as a fraction.

You are trying to find 15% of 72.50 so you would need to multiply your new decimal (.15) to your meal total. This will give you 10.875 or 10.88.

5 0

3 years ago

A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6

Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

Length of street light AB = 25 ft

Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate ( $\frac{dw}{dt}$ ) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, $\frac{dx}{dt}=6$ feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

$\frac{x}{21}=\frac{x+y}{25}$

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = $\frac{4x}{21}$

Now we take the derivative on both the sides,

$\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}$

= $\frac{4}{21}\times 6$

= $\frac{8}{7}$

≈ 1.14 ft per sec.

Since w = x + y

Therefore, $\frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}$

$\frac{dw}{dt}=6+1.14$

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

3 0

3 years ago

Is 7/12 bigger than 1/2

Varvara68 [4.7K]

Lets think of it this way:-

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Now, 7 is greater than 6, which means the fraction 7/12 is greater than 1/2

Answer: 7/12 is bigger

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3 years ago

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nalin [4]

Answer:

(0, 10)

and

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3 years ago

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