5.
In the parallelogram ABCD, the diagonals AC and BD
are equal in length. What is the measure of the angle A
?
two
(A) 30
(B) 45
(C) 60
(D) 75
(E) 90
How to solve this?

Answer:

  P = 6x +4

Step-by-step explanation:

Use the given values in the formula for the perimeter of a rectangle:

  P = 2(L +W)

__

You have ...

  L = 2x +4

  W = x -2

So, the perimeter is ...

  P = 2((2x +4) +(x -2)) = 2(3x +2)

  P = 6x +4

The perimeter of the rectangle is 6x+4.

Answer:

√3 is the answer

Step-by-step explanation:

the value of tan60 is √3

The table that represents the survey conducted by Isabel is:

                               Like Dolls        Don't like Dolls    Total

Like Trains                40                             15                  55

Don't like Trains         17                               8                 25

Total                           57                             23                80

The total number of kids that like dolls = total number kids - total number of kids that don't like dolls

80 - 23 = 57

Number of kids that don't like Trains but like dolls = total number kids that like dolls - Number of kids that  like Trains and dolls

57 - 40 = 17

Number of kids that don't like dolls and but like trains :

30% x 23 = 7

(23 - 7) /2 + 7 = 15

Number of kids that don't like dolls and trains = (23 - 7) / 2 = 8

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Evaluate the following expression when

t=5 when t^2-2t-2

replace t with 5 and remember PEMDAS

5² - 2 * 5 - 2 =

25 - 10 - 2 =

13

Answer:

when t=5

5² - 2×5 -2 = 13

hope it's right

Answer:

Explaination:

We already have our first value 75 and the second value 24. Let's assume the unknown value is Y which answer we will find out.

We already have our first value 75 and the second value 24. Let's assume the unknown value is Y which answer we will find out.As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1 >> Y = 24

75

STEP 2 >>

24 × 100 = 32

75 × 100 100

STEP 3>> Y = 32%

Finally, we have found the value of Y which is 32 and that is our answer.

You can use a calculator to find what percent of 75 is 24, just enter 24 ÷ 75 × 100 and you will get your answer which is 32.

Answer:

32

Step-by-step explanation:

(75/100) × X = 24

75X = 2400

75X/75 = 2400/75

X = 32

32% of 75 gives you 24

Answer:

Step-by-step explanation:

1g = 0.001 kg.

82.5g = 0.001 x 82.5 kg

= 0.0825 kg

= 825/1000 kg

Answer:

3.9 to nearest tenth.

Step-by-step explanation:

Using the theorem of intersecting chords:

9 * y = 5 * 7

y = 35/9

= 3.888...

Sequence: 24 + 12 + 6 + 3 +...

Explanation:

This is infinite geometric series converges.

[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]

Identify the following

Solve:

[tex]\rightarrow \sf S \infty \ =24\ x \ \dfrac{1}{1-\frac{1}{2} }[/tex]

[tex]\rightarrow \sf S \infty \ =48[/tex]

This is series has a sum of 48.

take two points

Slope

Answer:

[tex]m=\dfrac{7}{5}[/tex]

Step-by-step explanation:

To find the slope of a line, find two points on the line and define them as follows:

[tex]\textsf{let}\:(x_1,y_1)=(-3,-3)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(2,4)[/tex]

Substitute the points in the slope formula and solve for m:

[tex]\begin{aligned}\textsf{slope}\:(m) & =\dfrac{y_2-y_1}{x_2-x_1}\\\\ & =\dfrac{4-(-3)}{2-(-3)}\\\\ & = \dfrac{4+3}{2+3}\\\\ & = \dfrac{7}{5}\end{aligned}[/tex]

Therefore, the slope of the given line is [tex]\dfrac{7}{5}[/tex]

The number of infected banana plants with a rate of 8% will be in 8 years is 848.

Consider the function:

y = a(1 + r)ˣ

where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

A blight is spreading on a banana plantation. Currently, 458 banana plants are infected.

If the disease is spreading at a rate of 8% each year.

Then the number of the plants that will be infected in 8 years.

Then the exponential function is given as

y = 458(1.08)ˣ

At x = 8, then we have

y = 458(1.08)⁸

y = 458 x 1.851

y = 847.73

y ≅ 848

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Answer:

2/23

Step-by-step explanation:

Answer:

what do you want to say......?

Answer:

a

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Because 2x-4 equals -8

Answer:

30 days.

Step-by-step explanation:

27 ÷ 0.9 = 30.

Answer:

in 30 days she will reach 27 miles.

Step-by-step explanation:

27 miles / 0.9 miles = 30 days

Answer:

1. 167.42

2. 22.01

3. 4.83

233.66-66.24 = 167.42

43.12-21.11 = 22.01

24.6-19.777 = 4.823

The conditional probabilities that are correct are P(D | F) =  6/34, P(E | D) = 7/25 and P(F | E) = 8/18

The conditional probability P(A|B) is calculated using:

P(A | B) = P(A and B)/P(B)

Using the above formula and the data in the complete question (see attachment), we have the following computations:

P(D | F) = 6/34

P(E | D) = 7/25

P(D | E) = 7/18

P(F | E) = 8/18

P(E | F) = 8/34

By comparing the above computations with the options, the conditional probabilities that are correct are P(D | F) =  6/34, P(E | D) = 7/25 and P(F | E) = 8/18

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Answer:

A, B, D

Step-by-step explanation:

yw :)

Answer:

the answer is A for the shaded region

Answer: radius: 28.5

area: 2551.76

Step-by-step explanation:

radius is always half of the diameter and area is pi(r^2)

For the exponential expression, [tex]16^{1/4}[/tex] the simplified value is 2.

First, we need to remember a rule for exponential expressions, it says that:

[tex]x^{1/n} = \sqrt[n]{x}[/tex]

Then we can rewrite the given exponential expression as:

[tex]16^{1/4} =\sqrt[4]{16}[/tex]

So, we just need to find a number that when multiplied by itself 4 times, is equal to 16.

We know that:

2*2 = 4

Then:

2*2*2*2 = 2⁴ = 4*4 = 16

Then we can conclude that:

[tex]16^{1/4} =\sqrt[4]{16} = 2[/tex]

So the simplified value of the exponential expression is 2.

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Answer:

Please read the explanation

Step-by-step explanation:

I recommend using desmos (search it as "desmos graphing calculator") as it is the most popular website students use to graph equations of almost all kind.

type in both equations, and I don't know if you're supposed to find the X intercepts or Y intercepts. but this website will save you!

Check the picture below.

Answer:

x = 2√5

Step-by-step explanation:

Isosceles right angle triangles have two congruent sides ( for more reference , kindly check the attached image ) making it a special 45-45-90 degree triangle.

Special triangles have simple easy rules to help identify the lengths of the other sides lengths. For the 45-45-90 degree triangle, the hypotenuse (longest side) is equal to the value of the triangles leg(shorter sides) times √2 ( for more reference kindly check the other attached image )

Here, the value of the leg it equal to √10

If the value of the hypotenuse (x) = leg × √2

Then the value of x = √10 × √2

x = √10 × √2 = √(10 × 2) = √20

==> simplify radical

x = 2√5

Answer:

Step-by-step explanation:

Comment

The area of a right triangle is the product of the two smaller legs divided by  2.

Givens

Horizontal Leg =   4 units.

Vertical Leg      =   8 units

Note. you count units by calling the right angle 0,0. As you move to the next square, count 1 then 2 then 3 ...

Solution

Area = 4 * 8 / 2

Area = 32 / 2

Area = 16

Answer

Area  = 16

The volume of the water that was displaced will be equal to 0.06 cubic feet.

Suppose that a finite amount of substance is there having its properties as:

mass of substance = m kg

density of substance = d kg/m³

volume of that substance = v m³

Then, they are related as:

[tex]d = \dfrac{m}{v}[/tex]

If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water, then the volume of the water that was displaced will be

We know that the density of the water is 62.4 pounds per cubic foot.

Then we get

3.7 = 62.4 × volume

Volume = 0.059

Volume ≅ 0.06 cubic-foot

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Step-by-step explanation:

' MLB

ML Ĺ

bryon yuuù 6553w2 wasmay what is this portion insulator used for

Answer:

It should be 58.6 if Im not mistaken. Im so sorry if I'm wrong.

Step-by-step explanation:

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[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

          What is the slope-intercept form of 3x-2y=-16?

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

✥ First, we need to subtract 3x on both sides, which results in

-2y=-16-3x

Or

-2y=-3x-16

[tex]\bigstar[/tex] Now, divide by -2 on both sides:-

[tex]\bold{(-2y):-2=(-3x-16):-2}[/tex]

On simplification,

[tex]\bold{y=\dfrac{3}{2} x+8}[/tex]

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