In ΔXYZ, the measure of ∠Z=90°, ZY = 4, XZ = 3, and YX = 5. What ratio represents the tangent of ∠X?

Answer:

[2,∞)

Step-by-step explanation:

The range is the y intercept and the function starts at 2 and continues going up causing the range of the function to be [2,∞)

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Explanation:

The order of the lettering is important when it comes to similar polygons. This is because the order tells us how the letters pair up.

I don't recommend using solely the diagram to try to see how the angles pair up because the diagram might not be to scale. So we'll just be focused on the lettering.

In the sequences ABCDE and PQRST, we have letters E and T as the last items. This means they correspond and pair up together. Furthermore, these angles are congruent (since similar polygons have congruent corresponding angles).

So in short, E = T.

The diagram shows E = 110 and T = 2x+10

This leads to...

E = T

110 = 2x+10

2x+10 = 110

2x = 110-10

2x = 100

x = 100/2

x = 50

Answer:

2n + n³

There you go.

Answer:

2×n^3

Step-by-step explanation:

i believe this is correct

Answer:

Step-by-step explanation:

Try working this out with decimals

3/8 = 0.375

5/6 = 0.833     Add these

Total = 1.20833

Now divide by 5

1.20833/5

.24166

I think I would use this as my answer, but if you want fractions ...

3/8 + 5/6      The common denominator is 24

3*3/3*8 = 9 / 24

5*4/6*4 = 20/24

9/24 + 20/24 = 29/24

Now divide by 5

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29 / 24 // 5/1                      Invert the denominator and multiply

29/24 * 1/5 = 29/120      

Does that equal the decimal result that we got?

29/120 = .24166 which is the same thing. The fractions are a little harder to handle than the decimals.

Answer: 190

Explanation: Divide 97.5 from 195% and then round.

The Jacks height from the given situation is 49.08 inches.

Given that, Jack can long-jump 195% of his height with a running start.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the height of jack be x.

So, 195% of x = 95.7

⇒ 195/100 × x=95.7

⇒ 1.95x=95.7

⇒ x=95.7/1.95

⇒ x=49.08 inches

Hence, the Jacks height from the given situation is 49.08 inches.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

All you are doing for these problems is plugging in your given x value into the equation given in the answer choices and seeing if you get the answer for “y” given in the table.

Answer:

For the first table:

A) y=5x-3 (plug in -6 in place of x and see if you get -33. Do the same for 3,9,-4,-5)

y=5(-6)-3=-30-3=-33

y=5(3)-3=15-3=12

y=5(9)-3=45-3=42

y=5(-4)-3=-20-3=-23

y=5(-5)-3=-25-3=-28

Your answer for the first image is A) y=5x-3

For the second image: (plug in 4 in place of x and see if you get 26. Do the same for -2,1,8,-3)

y=6x-2

y=6(4)-2=20-2=18 WRONG it should be 26

y= 6x+2

y=6(4)+2=24+2=26

y=6(-2)+2=-12+2=-10

y=6(1)+2=6+2=8

y=6(8)+2=48+2=50

y=6(-3)+2=-18+2=-16

Answer for image 2 is B) y=6x+2

Answer:

hi

Step-by-step explanation:

Answer:

The odds-against a new customer ordering a vanilla ice cream are: 2/7 or 2 to 7

Step-by-step explanation:

Odds-against is the ratio of probability of non-occurrence of an event to the probability of occurrence of an event.

Let p be the probability that the new customer will order vanilla

Then

[tex]p = \frac{7}{9}[/tex]

Let q be the probability that the new customer will not order vanilla

[tex]q = 1-p\\= 1 - \frac{7}{9}\\= \frac{9-7}{9}\\=\frac{2}{9}[/tex]

Now the odds against formula is:

[tex]\frac{Probability\ of\ non-occurrence}{Probability\ of\ occurrence}= \frac{q}{p}\\=\frac{\frac{2}{9}}{\frac{7}{9}}\\=\frac{2}{9} * \frac{9}{7}\\=\frac{2}{7}[/tex]

Hence,

The odds-against a new customer ordering a vanilla ice cream are: 2/7 or 2 to 7

Answer:

[tex] x = 53 [/tex]

Step-by-step explanation:

[tex] 65 = x + 12 [/tex] (alternate interior angles are congruent)

Subtract 12 from each side

[tex] 65 - 12 = x + 12 - 12 [/tex]

[tex] 53 = x [/tex]

[tex] x = 53 [/tex]

Answer:

B,D,C,A,E

Step-by-step explanation:

-1, -4/3, 1/2, 2, 2 1/4

Answer:

BDCAE

Step-by-step explanation:

hope this help

Answer:

h(3b)=12b+4

another answer

h(3b)=4(3b+1)

Step-by-step explanation:

h(x)=4x+4

h(3b)=4(3b)+4

h(3b)=12b+4

if need to simplify..then:

h(3b)=4(3b+1)

Answer:

The set of integers is closed under addition, subtraction, and multiplication because when I add, subtract, or multiply any integers, the result is always an integer.

Step-by-step explanation:

Answer:

The integers are "closed" under addition, multiplication and subtraction.

Step-by-step explanation:

But can not be used doing division or A fraction involving two integers.

Answer:

-22.7 degrees Fahrenheit

Step-by-step explanation:

Subtract change in temperature from the original temperature. 15.7 - 38.4 = -22.7. Hope this helps!!

Answer: the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830

Step-by-step explanation:

Given that;

p = 10% = 0.1

so let q = 1 - p = 1 - 0.1 = 0.9

n = 818

μ = np = 818 × 0.1 = 81.8

α = √(npq) = √( 818 × 0.1 × 0.9 ) = √73.62 = 8.58

Now to find P( x < 100)

we say;

Z = (X-μ / α) = ((100-81.8) / 8.58) = 18.2 / 8.58 = 2.12

P(x<100) = P(z < 2.12)

from z-score table

P(z < 2.12) = 0.9830

Therefore the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830

Answer:

T-intercept = 67

Step-by-step explanation:

Given

T = 44m + 67

Required

Calculate and interpret the t-intercept

To calculate the t-intercept, we simply set the number of minutes (m) to 0

i.e. substitute 0 for m in T = 44m + 67

T = 44 * 0 + 67

T = 0 + 67

T = 67

Hence, the T-intercept is 67

The interpretation is that the initial temperature when the oven is turned on is 67 degrees

Answer:

Step-by-step explanation:

Before we can calculate the equation of the parabola in the form

y = ax²+bx, we need to get the value of a and b.

First we need to set up a simultaneous equation as shown;

since y = ax²+bx

dy/de = y' = 2ax + b

Substitute the point (2, 8) into the equation

y' = 2a(2)+b

y' = 4a + b

Since y' is also the slope of the equation y = 12x-16, hence y' = 12 on comparison.

The equation becomes;

12 = 4a+b

4a+b = 12 ........... 1

Since the point (2, 8) is also on the parabola, then it must satisfy the equation y = ax²+bx

substitute the coordinate;

8 = a(2)²+b(2)

8 = 4a + 2b

4 = 2a + b

2a+b = 4 ........... 2

Solve equations  1 and 2 simultaneously

4a+b = 12 ........... 1

2a+b = 4 ........... 2

Substract both equation

4a - 2a = 12-4

2a = 8

a = 4

substitute a = 4 into equation 2 and get b;

From 2; 2a+b =4

2(4)+ b = 4

8+b = 4

b = 4-8

b = -4

Substitute a = 4 and b = -4 into the equation of the parabola y = ax²+bx

y = 4x²+(-4)x

y = 4x²-4x

y = 4x(x-1)

Hence the required equation of the parabola is y = 4x(x-1)

Answer:

he will fill 6 pitchers

Step-by-step explanation:

4.8÷0.8=6

Answer:

Y=4x+1

Step-by-step explanation:

Answer: 4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.

Step-by-step explanation:

Let x = Quantity of wooden blocks.

y = Quantity of plastic bricks.

As per given , we ahve

5x+10y=80        (i)

x+y=10     (ii)

Multiply 5 on both sides of (ii), we get

5x+5y=50   (iii)

Eliminate (i) from (iii), we get

5y=30

⇒ y= 6

Put y=6 in (ii), we get

x+6=10

⇒ x= 10-6= 4

Hence, 4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.

Answer: It is eather A or D (sorry for my spelling)

Step-by-step explanation:

Step-by-step explanation: 23 is the answer

23+24+25=72

Answer:x=-2

Step-by-step explanation: First, you need to multiply 2 for the first equation. The first equation becomes 4x-6y=-38. Then you have to subtract the first equation from the second equation, so it becomes 11y=55. 55/11=5, so y =5. We can plug 5 into the equation, and from there, we can draw out the conclusion that x=-2. You can also verify this by plugging -2 into the equation, which I did.

Answer:

b)668

Step-by-step explanation:

volume of the truck: 5000/7.48=668.45cu/ft

let d= the depth of the oil in the truck

5 *20*d=66.8.45

100d=66.8.45

d=668.45

so it would be b :)

Answer:

1,271

Step-by-step explanation:

620 + (105% × 620) =

620 + 105% × 620 =

(1 + 105%) × 620 =

(100% + 105%) × 620 =

205% × 620 =

205 ÷ 100 × 620 =

205 × 620 ÷ 100 =

127,100 ÷ 100 =

1,271

Answer:

1)

Step-by-step explanation:

Answer:

all of it

Step-by-step explanation:

Answer:

16,17,18

your welcome