Please help with a.

Do not use a calculator.

Given:

The angles of a quadrilateral are x°, (x+5)°, (2x-25)° and (x+10)°.

To find:

The value of x.

Solution:

We know that the sum of all interior angles of a quadrilateral is 360°. So,

[tex]x^\circ+(x+5)^\circ+(2x-25)^\circ+(x+10)^\circ=180^\circ[/tex]

[tex](5x-10)^\circ=180^\circ[/tex]

It can be written as

[tex](5x-10)=180[/tex]

[tex]5x=180+10[/tex]

[tex]5x=190[/tex]

Divide both sides by 5.

[tex]x=\dfrac{190}{5}[/tex]

[tex]x=38[/tex]

Therefore, the value of x is 38.

Answer:

r square = half of l square + h square

Step-by-step explanation:

I used phythogoras theorem to express r in terms of l and h

Answer:

63.6mm

Step-by-step explanation:

According to cosine rule;

AB² = BC²+AC²-2(BC)(AC)cos m<C

Substitute the given values

AB² = 70²+40²-2(70)(40)cos 64

AB² = 4900+1600-5600cos64

AB² = 6500-5600(0.4384)

AB² = 6500-2,454.87

AB² = 4,045.12

AB = √4,045.12

AB = 63.6mm

Hence the length of AB is 63.6mm

Answer:

[tex] abc = - \frac{16}{3} [/tex]

Step-by-step explanation:

[tex] {x}^{ - 2} {y}^{3} \sqrt[3]{ 64{x}^{5} {y}^{3} } = a {x}^{b} {y}^{c} \\ \\ {x}^{ - 2} {y}^{3} \times 4 \times {x}^{ \frac{5}{3} } \times y= a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5}{3} - 2 } {y}^{3 + 1} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5 - 6}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{ - 1}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ a = 4 \\ \\ b = - \frac{1}{3} \\ \\ c = 4 \\ \\ abc = 4 \times ( - \frac{1}{3} ) \times 4 \\ \\ = 16 \times ( - \frac{1}{3} ) \\ \\ abc = - \frac{16}{3} [/tex]

Answer:

x=42.3m

Step-by-step explanation:

x/47=82.8/92

92x=3891.6= 42.3m is the distance

Given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.

Triangles that are similar to each other always have the same shape but different sizes, and the ratio of their corresponding sides are equal (proportional).

The two triangles formed are similar triangles. Therefore:

47/FG = 82/73.8

Cross multiply

FG = (47 × 73.8)/82

FG = 42.3 m

Therefore, given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.

Learn more about similar triangles on:

https://brainly.com/question/11899908

Answer:

Arithmetic sequence

Step-by-step explanation:

In an arithmetic sequence, the next term on the sequence is obtained by adding a certain value to the first term. This term that is added is uniform throughout the sequence. Once this term is added to the preceding term, the next term of the sequence is obtained. This term that is thus added is known as the common difference of the arithmetic sequence.

So the arithmetic sequence obtained by adding 4 starting from 2 is; 2, 6, 10, 14 .........

Answer: 20inch

Step-by-step explanation:

Using the Pythagoras theorem:-

25^2 = 15^2 + x^2    where x = the width of the screen.

625 = 225 + x^2

x = √(625 - 225) = √400

= =  20 ins

Answer:

0.002 pounds

Step-by-step explanation:

1lb / 500 = 0.002 pounds

Step-by-step explanation:

angle=68

size=21

x=?

:.=68+21+×

=89=180-89

=91

:.×=91

Answer:

1526.81

Step-by-step explain

v=[tex]\pi[/tex]*radius^2*Hight

Answer:2400 ...

Step-by-step explanation:

Part A

The probability of getting diamonds on the first draw is 13/52 since we have 13 diamonds out of 52 total.

The probability of getting a non-diamond card on the second selection is 39/51 since we have 39 non-diamond cards out of 52-1 = 51 cards left over. Whatever card that was selected first is not put back. In this scenario, we are picking exactly one diamond card.

The probability of both events occurring is (13/52)*(39/51) = 13/68. I skipped a few steps but hopefully you can see how I arrived at that fraction.

The same probability shows up if we had a non-diamond card drawn first followed by a diamond card. This is because we compute (39/52)*(13/51) = 13/68.

So overall, the answer as a fraction is 13/68 + 13/68 = 26/68 = 13/34

The answer in decimal form is roughly 13/34 = 0.3824 which converts to 38.24%

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Part B

We're told that "given the first card drawn was a diamond" so we only need to worry about the second card.

We have 13-1 = 12 diamonds left out of 52-1 = 51 total.

The probability of picking another diamond is 12/51 = 0.2353 approximately. This converts to 23.53%

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Answer:

just tell her that you want to see your friends again or say that you think it will have a better effect on your grades. you could say that it would be eaiser to pay attention in class and that CV cases are droping so it would be still be safe to go.

Step-by-step explanation:

Hope this helps!

Answer:

I have already switched from online to in-person, and I would say it was a pretty great decision. Some points you could bring up are ;

o It'll help your grades. (Personally, I was really struggling with my grades while doing online but, as soon as I switched my grades raised quick!)

o You miss your friends, or just seeing humans lol. (It's been almost an entire year we've been on lockdown! No one can see friends, or people in general. If you look it up, its this has taken a big toll on people's mental health.)

o Just to be able to get out of the house for a few hours. (We've been stuck inside with nothing to do besides, sit and do school and spend all of our time looking at our screens. Just tell her it's to much and you need a break.)

Hope this helps !!

Answer:

The values of n are less than 3 and more than (-5/2)

Step-by-step explanation:

The given inequality is :

-5 < 2n <6

We need to write the values of n.

Dividing both sides of the inequality by 2. So,

[tex]\dfrac{ -5}{2} < \dfrac{2n}{2} <\dfrac{6}{2}\\\\=\dfrac{ -5}{2}<n<3[/tex]

So, the values of n are less than 3 and more than (-5/2).

Answer:

3 digits

Step-by-step explanation:

Hopefully that helps.

Answer:

3 digits

Step-by-step explanation:

Using a calculator, we find √14641 = 121, which has 3 digits.

Answer:

4/3y

Step-by-step explanation:

Given the expression 12x^2 / 9x^2y

12x^2 / 9x^2y

= (3*4)* x * x/(3*3)*x*x*y

= 4x^2/3x^2y

= 4/3y

hence  the simplified form is 4/3y

Answer:B

Step-by-step explanation:

Server: Content Deleted; Error (673)

Answer:

height = 6

volume = 60 in³

Hope this helps!

Answer:

Height = 4

Volume = 48 units ^3

Step-by-step explanation:

Answer:

x = 19/4 and y = 15/8

Step-by-step explanation:

Given:

y = (-3/2)x + 9

2x + 4y = 17

Move y to one side:

2x + 4y = 17

y = 17/4 - x/2

Solve for x:

(-3/2)x + 9 = 17/4 - x/2

x = 19/4

Substitute x to solve for y:

y = (-3/2)(19/4) + 9

y = 15/8

2(19/4) + 4y = 17

y = 15/8

Answer:

[tex]\frac{1}{14}[/tex],[tex]-\frac{3135}{28}[/tex]

Step-by-step explanation:

Answer:

Associative property of addition

Answer:

B.Associative property of addiction

Step-by-step explanation:

volume of paper bag= 16×5×20=1600cmcube

volume of box= 8×3×10= 240

space left = 1600-240= 1360cmcube

hope it helps

Answer:

I think it's A and D

Step-by-step explanation:

For option A, y would be the height or total growth, and x would be time or months and total height = 0.23 feet × 7.5 months

for option D, y would be the total amount of money spent and x would be the number of granola bars bought.  total money spent = $0.23 × number of granola bars bought

Options B and C don't work because we don't know the initial values and an initial value would be represented in the equation.

In option E, 0.23 represents the total growth in 7 days, so it would be the total instead of the rate of change

Answer:

x = 45.6

Step-by-step explanation:

cos 58 = x/86

86 cos 58 = x

x = 45.6

You must memorize the definitions of the trig functions and these problems will be easy for you.  OK?  

For example, cos of an angle = adjacent side/hypotenuse

Answer:

989 ft.

Step-by-step explanation:

7*13=91

91 is the first rectangles area.

13+6=19

19*17=323

323 is the second rectangles area.

25*23=575

575 is the third rectangles area.

575+323+91=989

Answer:

the slope would be -1/2

Step-by-step explanation:

-5 - 4

= -1/2

-2 - 4

Answer:

The answers is 15840

Step-by-step explanation:

\text{Exponential Functions:}

Exponential Functions:

y=ab^x

y=ab  

x

a=\text{starting value = }14000

a=starting value = 14000

r=\text{rate = }2.5\% = 0.025

r=rate = 2.5%=0.025

\text{Exponential Growth:}

Exponential Growth:

b=1+r=1+0.025=1.025

b=1+r=1+0.025=1.025

\text{Write Exponential Function:}

Write Exponential Function:

y=14000(1.025)^x

y=14000(1.025)  

x

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=14000(1.025)^{5}

y=14000(1.025)  

5

y= 15839.71498

y=15839.71498

Evaluate

y\approx 15840

y≈15840

round

Answer:

the answer is D hope that help

Answer:

The answer is D

Step-by-step explanation: