Prove that the sum of three successive even integers is always a multiple of 6.​

Answer: 47°

Step-by-step explanation:

(x + 2)° + (x - 6)° = 90°

x + 2 + x - 6 = 90

2x - 4 = 90

2x - 4 + 4 = 90 + 4

2x = 94

[tex]\frac{2x}{2} = \frac{94}{2}[/tex]

x = 47°

Answer:

they are perpendicular. If you want to check, go on desmos and put both equations there.

Answer:

1090 in²

Step-by-step explanation:

The surface area of the two cube = 7x7x6 + 13x13x6 = 1308 in²

But noted that there are overlapping of the two cubes, thus we need to minus 7x7 in² from the answer. Also, we need to minus 13x13 from the answer as the bottom face of the larger prism do not require staining.

∴The required surface area is 1090 in²

The volume of the small cube and large cube will be 2540 in³.

Suppose that: The side length of the considered cube is L units. Then, we get:

Volume of that cube = L³ cubic units.

The edge length of the small cube is 7 in.

The edge length of the large cube is 13 in.

Then the volume of the small cube will be

Volume = 7³

Volume = 343 in.³

Then the volume of the large cube will be

Volume = 13³

Volume = 2197 in.³

Then the volume of the small cube and large cube will be

Volume = 2197 + 343

Volume = 2540 in.³

More about the volume of the cube link is given below.

https://brainly.com/question/26136041

#SPJ2

Answer:

t = 0.85 s

Step-by-step explanation:

Given that,

The speed of a car, v = 40 mph = 17.8816 m/s

Distance, d = 50 feet = 15.24 m

Let the time be t. The formula for speed is given by distance divided by time. So,

[tex]v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{15.24 }{17.8816 }\\\\t=0.85\ s[/tex]

So, the required time is 0.85 s.

Answer:

It is a right angle triangle.

Step-by-step explanation:

Use the pythagoras theorem. c^2 = a^2 + b^2.

5^2 = 4^2 + 3^2

25 = 16 + 9

25 = 25

Answer:

Step-by-step expVivian’s house area can be split into two rectangles: FLSU and MNSR.

area of rectangle FLSU

= length × width

= (FU) × (FL)

= 30 × 25

= 750 square feet

area of rectangle MNSR

= length × width

= (MS) × (MN)

= 38 × 25

= 950 square feet

area of Vivian’s house

= area of rectangle FLSU+ area of rectangle MNSR

= 750 square feet + 950 square feet

= 1,700 square feet

Answer:

Out of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.

Step-by-step explanation:

Since Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift of her; and Lisa has 1/5 of her shift remaining, to determine, out of the four employees, who has completed the least work time, the following calculation must be performed:

Phil: 4 - 1/4 = 3/4 = 0.75

Darren: 7 - 3/7 = 4/7 = 0.57

Alice: 8 - 1/8 = 7/8 = 0.875

Smooth: 5 - 1/5 = 4/5 = 0.8

Thus, of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.

Answer:

20=0+5x

x=20/5

x=4

x=4

x=4

Answer:

exact form:

x=0, 1/2

decimal form:

x=0, 0.5

Answer:

the answer is 134 hope this helps.

Answer:

4 x 5 x 3 = 60

Step-by-step explanation:

4 x 5 = 20 ,   20 x 3 = 60

Answer: 13/30

Step-by-step explanation:

8/15 -1/10 = (2×8)/(2×15) - (3×1)/(3×10) = 16/30 - 3/30 = (16-3)/30 = 13/30

Answer:

13/30

Step-by-step explanation:

8/15 - 1/10 (first find a common denominator which can be 30 for example)

Multiply numerator and demomiator

16/30 (x2) - 3/30 (x3) =13/30.

Answer:

first, dilate triangle ABC with respect to the origin by scale factor of 2.

then rotate it 90 degrees counterclockwise about the origin

Step-by-step explanation:

Answer:

D. x = 10, m<TRS = 60°

Step-by-step explanation:

m<QRS = 122° (given)

m<QRT = (7x - 8)° (given)

m<TRS = (6x)° (given)

m<QRT + m<TRS = m<QRS (angle addition postulate)

(7x - 8)° + (6x)° = 122° (substitution)

Solve for x

7x - 8 + 6x = 122

Add like terms

13x - 8 = 122

13x = 122 + 8

13x = 130

x = 130/13

x = 10

✔️m<TRS = (6x)°

Plug in the value of x

m<TRS = (6*10)° = 60°

Answer:

x² - x - 2 = 0

Step-by-step explanation:

Given:

- 4(x - x²) = 8

Find:

Standards form

Computation:

- 4(x - x²) = 8

(x - x²) = -2

x - x² = -2

x² - x - 2 = 0

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2

Explanation:

Remember Rise/Run

1/2

So if they went "Run" 4 units

then the equivalent to 1/2 is 2/4

Therefore the value of a is 2!

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

angle measure is a complement of an angle whose measure is 62 degrees=90-62=28.

Answer:

D 28 is your answer

Answer:

a) 0.2578 = 25.78% probability that the amount of collagen is greater than 60 grams per mililiter.

b) 0.9994 = 99.94% the probability that the amount of collagen is less than 90 grams per mililiter.

c) 68.26% of compounds formed from the extract of this plant fall within 1 standard deviation of the mean

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The collagen amount was found to be normally distributed with a mean of 65 and standard deviation of 7.7 grams per mililiter.

This means that [tex]\mu = 65, \sigma = 7.7[/tex]

a. What is the probability that the amount of collagen is greater than 60 grams per.

This is 1 subtracted by the pvalue of Z when X = 60. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 65}{7.7}[/tex]

[tex]Z = -0.65[/tex]

[tex]Z = -0.65[/tex] has a pvalue of 0.2578

0.2578 = 25.78% probability that the amount of collagen is greater than 60 grams per mililiter.

b. What is the probability that the amount of collagen is less than 90 grams per.

This is the pvalue of Z when X = 90.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{90 - 65}{7.7}[/tex]

[tex]Z = 3.25[/tex]

[tex]Z = 3.25[/tex] has a pvalue of 0.9994

0.9994 = 99.94% the probability that the amount of collagen is less than 90 grams per mililiter.

c. What percentage of compounds formed from the extract of this plant fall within 1 standard deviation of the mean?

Between Z = 1 and Z = -1, so the proportion is the pvalue of Z = 1 subtracted by the pvalue of Z = -1

Z = 1 has a pvalue of 0.8413

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826*100% = 68.26% of compounds formed from the extract of this plant fall within 1 standard deviation of the mean

Answer:

Step-by-step explanation:

Answer:

y = 5x

y = amount of money all the friends spent.

x = cost of burgers, a bottle of apple juice, and a bag of chips all together

Step-by-step explanation:

Ion know which all apply but okay?

Answer:

this one

16(0.5x-0.75+2)

Step-by-step explanation:

Answer:

Third Option is the only equivalent equation :)

Step-by-step explanation:

First Option: NO

16(0.5x - 4y + 32)

distribute

8x - 64y + 512

Second Option: NO

16(0.5x - 0.75 + 32)

distribute

8x - 12y + 512

16(0.5x - 0.75 + 2)

distribute

8x - 12y + 32

Fourth Option:

16(0.5x + 4y + 2)

distribute

8x + 64y + 32

hope this helps :)

Answer:

18.33

Step-by-step explanation:

Answer:

[tex]\huge\boxed{13}[/tex]

Step-by-step explanation:

= 2k - x

Given that k = 9, x = 5

= 2(9) - 5

= 18 - 5

= 13

[tex]\rule[225]{225}{2}[/tex]

Hope his helped!

Answer:

i think c

i'm not sure tho

Step-by-step explanation:

Answer:

1≤x≤9

0,1,0,1,2,3,4,5,6,7,8,9

x is a prime number 2,3,5,7

Answer:

[tex]\boxed{C. 32}[/tex]

Step-by-step explanation:

Hello There!

If you didn't know the exterior angle of a triangle is equal to the opposite interior angles

so

100 = 68 + x

subtract 68

100-68=32

68-68 cancels out

we're left with

x = 32

Answer:

sorry but i need the points

Step-by-step explanation: