Can someone help me with 4?

Answer:

No, because there are not two pairs of congruent corresponding agles

Answer:

30°

Step-by-step explanation:

Let the length of shorter side of rectangle be x units.

Therefore, length of diagonal = 2x

In order to calculate the angle between a diagonal and a short side, we need to find the sin ratio of shorter side and diagonal of rectangle.

Let the measure of angle formed between shorter side and diagonal be [tex] \theta [/tex].

[tex] \therefore \sin \: \theta = \frac{x}{2x} \\ \\ \therefore \sin \: \theta = \frac{1}{2} \\ \\\therefore\sin \: \theta = \sin \: 30 \degree \\ ( \because \: \sin \: 30 \degree = \frac{1}{2}) \\ \implies \: \huge \red{ \boxed{\therefore\theta = 30 \degree }}[/tex]

Answer:

[tex]= 4x-x^2\\\\[/tex]

Step-by-step explanation:

Let the number be x;

The product of 4 and the number will be;

[tex]= 4 * x\\\\= 4x[/tex]

The the square of the number is given as;

[tex]= x^2\\[/tex]

Taking the difference of both expressions above;

[tex]= 4x-x^2\\\\[/tex]

Factor out the common term:

[tex]= x(4-x)\\\\[/tex]

Hence the difference between the product of 4 and a  number and the square of the number is [tex]= 4x-x^2\\\\[/tex]

Answer:

ounces, cups, pints, quarts, and gallons

Step-by-step explanation:

Answer:

112 difference in tempature

Step-by-step explanation:

multiply 4x28

Answer:

a. 1/25

b. 25/1

Step-by-step explanation:

There are 2 black 7s in a deck (7 of spades and 7 of clubs).  So there are 50 cards that are not black 7s.

The odds in favor of drawing a black 7 is therefore 2/50 = 1/25.

The odds against drawing a black 7 is therefore 50/2 = 25/1.

Answer:

x = 9

y = 56

Step-by-step explanation:

(3x + 7)° + (6x + 2)° = 90° (both angles are complementary)

Find the value of x using this equation

[tex] 3x + 7 + 6x + 2 = 90 [/tex]

Collect like terms

[tex] 3x + 6x + 7 + 2 = 90 [/tex]

[tex] 9x + 9 = 90 [/tex]

Subtract 9 from each side

[tex] 9x + 9 - 9 = 90 - 9 [/tex]

[tex] 9x = 81 [/tex]

Divide both sides by 9

[tex] \frac{9x}{9} = \frac{81}{9} [/tex]

[tex] x = 9 [/tex]

y° = (6x + 2)° (both angles are vertical angles. Vertical angles are equal)

Plug in the value of x to find y

y = 6(9) + 2

y = 54 + 2

y = 56

Answer:

y=1.5x+9

Step-by-step explanation:

We can first write in 9 as b because the baby already started at 9 pounds, meaning the line showing the weight will also start from 9.

The question tells us that the baby grows 3 pounds every 2 months. In the equation, x represents months. We need to convert the rate of growth into 1 month to write in as the slope.

[tex]\frac{3pounds}{2 months} = \frac{1.5 pounds}{1 month}[/tex]

Now we know every month, the baby grows 1.5 pounds, which represents the rate of change, or M, in the equation.

Answer: 60

Step-by-step explanation: 1/4 of 96 is 24 so you subtract that and get 72. And 1/6 of 72 is 12 and you subtract that leaving you with 60 to remain.

Answer:

33

Step-by-step explanation:

I am did my diagnostic too.

The required chance of that a random donor has type A blood is given as 11/25. Option B is correct.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total blood donor = 31 + 33 + 9 + 2 = 75
Donors has type A blood = 33

Now, the chance that a random donor has type A blood,

= Donors has type A blood / Total blood donor

= 33 / 75
= 11 / 25

Thus, the required chance of that a random donor has type A blood is given as 11/25.

Learn more about probability here:

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Answer:

X=30

Step-by-step explanation:

Answer:

[tex]x=-6[/tex]

Step-by-step explanation:

[tex]8x-3(2x-4) = 3(x-6)[/tex]

[tex]8x-6x+12 = 3x-18[/tex]

[tex]2x+12 = 3x-18[/tex]

[tex]2x=3x-30[/tex]

[tex]5x= -30[/tex] Divide by 5 next

[tex]x=-6[/tex]

Hope this helps, have a great day:)

Steps to solve:

-3x - 9y = 18

~Add 3x to both sides

-9y = 18 + 3x

~Divide -9 to everything

y = -1/3x - 2

Best of Luck!

Answer:

6x=6

Step-by-step explanation:

13x+2=15

13x=13

x=1

Answer: 6x = 6

X = 1

Step-by-step explanation:

First you need to find the value of x with the equation given.

13x = 13 (I subtracted 2 from both sides)

X = 1

Answer:

17.2 feet

Step-by-step explanation:

The ladder is placed 9 feet away from the fence, which is 1 foot away from the building. Therefore, the ladder is [tex]9+1=10[/tex] feet away from the building.

We know that the window is 14 feet above ground.

We now have a triangle which we need to find the hypotenuse of.

  /|      

/  |   14  

/_|

10

To find the hypotenuse, we can use the Pythagorean Theorem. This states that [tex]a^2+b^2=c^2[/tex], where a and b are the legs of a triangle and c is the hypotenuse.

The legs are 10 and 14, so lets substitute inside the equation.

[tex]10^2 + 14^2 = c^2\\\\100+196=c^2\\\\296=c^2\\\\c = \sqrt{296}\\\\c \approx 17.2[/tex]

Hope this helped!

Hello.

3/8 divided by 2 can be put into the equation 3/8 ÷ 2/1.

You can't divide fractions, so you flip the divisor's fraction, then switch the equation to multiplication. The equation is now 3/8 × 1/2. Multiply across

--> 3 * 1

________

--> 8 * 2

Finishing the equations, we are left with 3/16. This cannot be reduced, so the final answer is 3/16

Answer:

8

Step-by-step explanation:

8*8=64

Answer:

c the 3rd one

Step-by-step explanation:

hope this helps you.

Answer:

11480.22

Step-by-step explanation:

5.1x3.2 + 5.1x103 + 103x3.2 + 103x103

16.32 + 525.3 + 329.6 + 10609

11480.22

Answer:

RS = 2.4 cm

Step-by-step explanation:

RS + ST = RT

RS + 1.6 = 4

Subtract 1.6 from both sides.

RS = 4 - 1.6

RS = 2.4 cm

Answer:

[tex]\boxed {\tt B. \ x=45}[/tex]

Step-by-step explanation:

x and 3x are on a straight line together. Therefore, they are supplementary and must add to 180 degrees.

Add x and 3x, and set that equal to 180.

[tex]x+3x=180[/tex]

Combine like terms on the right side of the equation. Both x and 3x have a variable, so they can be added together.

[tex](x+3x)=180[/tex]

[tex]4x=180[/tex]

Since we want to find x, we have to isolate x. x is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.

[tex]\frac{4x}{4} =\frac{180}{4}[/tex]

[tex]x=\frac{180}{4}[/tex]

[tex]x=45[/tex]

x is equal to 45, so the correct answer is B. 45

In the diagram, we can see that two lines are intersecting and a two pairs of vertically opposite angles are forming. The angle on a line are supplementary to each other (linear pair).

Here, angle TRS and angle TRV are linear pair, so they will have a sum of 180°.

Then,

[tex] \angle TRS + \angle TRV = 180 \degree[/tex]

In the question, given angle TRS = x and angle TRV = 3x

[tex]x + 3x = 180 \degree[/tex]

[tex]4x = 180 \degree[/tex]

Now, divide 4 from both sides because we need to find x.

[tex]x = \frac{180 \degree}{4} [/tex]

[tex]x = 45 \degree[/tex]

It was given that Angle TRS is x

So, Angle TRS = 45°

Option B

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Answer:

You haven't attached a picture but this is what your line should look like

Step-by-step explanation:

For this equation you simply have to graph it.

First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.

Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.

Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.

Hope this helps a bit,

Flips

The value of graph of function y = 3x + 2 is shown in figure.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The equation of line is,

y = 3x + 2

Now, The value of y - intercept of the equation is,

⇒ 2

⇒ (0, 2)

Thus, The value of graph of function y = 3x + 2 is shown in figure.

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Slope-intercept form is: y = mx + b

m = slope

b = y-intercept

y + 3 = 4(x - 5)

Distribute the 4

y + 3 = 4x - 20

Subtract 3 from both sides.

y = 4x - 23

Answer:

Step-by-step explanation:

Slope intercept form...

y=mx+c

where, m=slope

c=intercept

y + 3 = 4(x - 5)

Open the Brackets.

y + 3 = 4x - 20

SUBTRACT 3 FROM BOTH SIDES.

y + 3 (-3)= 4x - 20 (-3)

Take note of the signs and solve.

y = 4x - 23

4 is the slope.

-23 is the intercept.

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Answer:

Step-by-step explanation:

Answer:

It is in the tenths place

Step-by-step explanation:

In the number 9.365, 3 is in the tenths place.

Answer:

280 miles

Step-by-step explanation:

We want to determine what speed Camden is going first so we can find the distance. To do so, you can divide the total miles (320) by the number of hours (8) to find he is driving 40 miles per hour. Then, you can take that and multiple it by the number of hours he will drive (7) to get 280 miles. I hope this helps! :)

Answer:

1 and 8 , and 4 and 8 are congruent

The rest are supplementary

Step-by-step explanation:

Answer:

Salesman is not correct

Step-by-step explanation:

First we calculate the share of salesman when 60 percent of bonus is shared among 7 salesmen:

Bonus Share For 7 Salesmen = (0.6)(£ 2100)

Bonus Share For 7 Salesmen = £ 1260

Now, this is equally divided among 7 salesmen:

Bonus Share of 1 Salesmen (when 60% is shared) = S₁ = £ 1260/7

S₁ = £ 180

Now, we calculate the share each salesmen get if bonus is equally divided among 10 people:

Bonus Share of 1 Salesmen (when equally shared) = S₂ = £ 2100/10

S₂ = £ 210

S₂/S₁ = £ 210/£ 180

S₂/S₁ = 1.16

S₂ = 1.16S₁

S₂ = 116% of S₁

This means that if bonus is equally divided between all 10 people then the salesman will get 16 percent more money.

Therefore, salesman is not correct