Find mZABD.
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20°
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mZABD

Answer:

5+a-4√a+1 / a-3

The rationalization of given expression is a+5-4√(a+1)/(a+5).

Rationalization can be considered as the process used to eliminate a radical or an imaginary number from the denominator of an algebraic fraction. That is, remove the radicals in a fraction so that the denominator only contains a rational number.

The given expression is √(a+1)-2/√(a+1)+2.

Multiply both numerator and denominator by (a+1)-2, we get

√(a+1)-2×(a+1)-2/√(a+1)+2×(a+1)-2

= (√(a+1)-2)²/(√(a+1))²+2²

= (√(a+1))²-2×√(a+1)×2+2²/a+1+4

= a+1-4√(a+1)+4/(a+5)

= a+5-4√(a+1)/(a+5)

Therefore, the rationalization of given expression is a+5-4√(a+1)/(a+5).

Learn more about the rationalization here:

https://brainly.com/question/1980047.

#SPJ2

Answer:i think its a or c

Step-by-step explanation:

Answer: x= negative 6

if thats what its asking for

Step-by-step explanation:

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

Shape and pattern are the element of art and principal of designdid the artist manipulated to create texture on this scripture.

Answer:

Shape and pattern {final answer}

Step-by-step explanation:

The element of art and principal of design did the artist manipulate to create texture on this sculpture is shape and pattern. This option best suits for most of the sculptures. Therefore, the last option is the required answer.

Answer:  The question is The Gardener charged $0.50 per plant and a flat payment of $75. Which function represents this scenario?

The answer is 0.50x-75

The total cost will be the product of the gardener charged and the number of plants. The total cost is $ 37.5

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The gardener charged $ 0.50 per plant and $75 to plant all of them.

Let X be the gardener charged and Y be the number of plants.

The total cost will be the product of the gardener charged and the number of plants. That can be written as

Total cost = X × Y

Total cost = 0.50 × 75

Total cost = $ 37.5

More about the multiplication link is given below.

https://brainly.com/question/19943359

Answer:

1. y = 4x - 4

2. y = x + 2

3. y = -2x - 4

4. y = -x + 2

Step-by-step explanation:

Slope-intercept form is y = mx+b. As we know, m is the slope and b is the y-intercept. We need to find the slope and y-intercept and put them in the equation. Slope is rise over run, so we just count up then over until we get to an intersection. For the y-intercept, we look where the line crosses the y-axis.

Answer:

100

Step-by-step explanation:

a triangle is 180, so 180-58-22 is your answer

Answer:

Answer E

Step-by-step explanation

The statement gives a probability of approximately 0.022 for the difference in sample proportions, pˆA−pˆS, being greater than 0.

The interpretation of the given expression is "the difference between the population proportion of adults and the population proportion of students who prefer pop music is approximately 0.022".

Given :

The following steps can be used in order to determine the best interpretation of the given expression:

Step 1 - According to the given data, pA is the population proportion of adults who live in the city who prefer pop music.

Step 2 - Also given that pS is the population proportion of students who live in the city who prefer pop music.

Step 3 - So, the interpretation of the given expression is "the difference between the population proportion of adults and the population proportion of students who prefer pop music is approximately 0.022".

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/8069952

Answer:

286.

Step-by-step explanation:

9.85^3 /3.875 + 6.3^2

= 10^3/ 4 + 6^2

= 1000/4 + 36

=250 + 36

=286.

Answer:

a + 84 = 120

Step-by-step explanation:

Let a = how much $ was spent on Apple

a + 84 = 120

a = 36

Given:

Measure of exterior angle = 164°

The measure of opposite interior angles are x° and 53°.

To find:

The value of x.

Solution:

According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.

Using Exterior Angle Theorem, we get

[tex]x^\circ+53^\circ=164^\circ[/tex]

[tex]x^\circ=164^\circ-53^\circ[/tex]

[tex]x^\circ=111^\circ[/tex]

[tex]x=111[/tex]

Therefore, the value of x is 111.

Answer:

Step-by-step explanation:

a = 1935 / 5 is the change

b = 1960 / 10 is the change

c = 1950 / 20 is the change

They are all increasing i'd assume they all went threw a positive change

Answer: I think it might be (0,8)

Step-by-step explanation:

Answer:

where are the squares?

Step-by-step explanation:

Answer:

the difference is 25.5

Step-by-step explanation:

34.1 - 8.6 = 25.5

[tex]42.7^{\circ}F[/tex]

Subtract the number with the smallest value from the number with the biggest value to determine the difference between two numbers.

Temperature in a town during the day [tex]=34.1^{\circ}F[/tex]

Temperature in a town during the night [tex]=-8.6^{\circ}F[/tex]

Therefore,

Difference in temperatures [tex]=34.1-(-8.6)[/tex]

                                            [tex]=42.7^{\circ}F[/tex]

For more information:

https://brainly.com/question/20671719?referrer=searchResults

Answer:

C

Step-by-step explanation:

Answer:

Red line is y=0.8x

Blue line is y=0.8x-3.2

Step-by-step explanation:

Answer: 41

Step-by-step explanation:

Substitute the given value into the function and evaluate

f(10)

f(x) = 4(10) + 1 = 40 + 1 = 41

Answer:

C. The relationship between the quantities is: add 25.

Step-by-step explanation:

1x = 25y,

2x = 25 + 25 = 50y

3x = 50 + 25 = 75y

4x = 75 + 25 = 100y

Note:

As you can see, every time the number goes up on the chart, it goes up by 25 and you can find that out by just simply adding 25 to the first number and seeing if it matches up with the next, (which I did above).

Answer:

(1)xy=-5-3

-8ans

Step-by-step explanation:

(2) -3x =-18

-15ans

Answer:

6+33 and 3(2)+3(11) are the correct answers.

Step-by-step explanation:

==========================================================

Explanation:

This is a 45-45-90 right triangle. Any triangle of this form is isosceles, where the two legs are the same length. In this case, m and n are those two legs. So m = n.

We can then apply the Pythagorean theorem to say

a^2 + b^2 = c^2

m^2 + n^2 = (9*sqrt(2))^2

m^2 + m^2 = 9^2*(sqrt(2))^2

2m^2 = 81*2

m^2 = (81*2)/2

m^2 = 81

m = sqrt(81)

m = 9

As a shortcut, the hypotenuse of a 45-45-90 triangle is equal to sqrt(2) times the length of either leg. If m is the length of the leg, then m*sqrt(2) is the length of the hypotenuse. So in a sense, we take this thought process backwards to go from a hypotenuse 9*sqrt(2) to a leg length of 9.

Answer:

$843.67

Step-by-step explanation:

1. Calculate the discount that was taken off from the original price.

$896 x 12% = $107.52

2. Subtract the discount taken off from the original price. This gives you the total paid AFTER the discount was taken.

$896-$107.52= $788.48

3. Calculate the tax amount by multiplying the discount price by the tax rate.

$788.48 x 7% = $55.19

4. Add the tax amount back to the discount price.

$788.48 + $55.19 = $843.67

Answer:

3s+2c=206

s=c+12

Step-by-step explanation:

3.00(smothies,s) + 2.00(cones,c) = $206 (total)

s,smoothies = c,cones + 12

Answer:

1. 2

2. 3

3. 35

4. 3

5. m=79

Answer: its D. 52 cm

Step-by-step explanation: Just got it good

Answer:

37.5/38(rounded)

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

15 + 25 = 40

15/40 = 37.5%

15

40      x 100% = 37.5%

Sorry if wrong! Plz mark brainiest if correct :D Have a great day Luv!

-Bee

Answer:

Step-by-step explanation:

6x - 9y = 12

subtract 6x from both sides

-9y = 12 - 6x

divide both sides by -9

y = -4/3 + 2/3x

or

y = 2/3x - 4/3

The equation 6x – 9y = 12 written in terms of y is; y = (2/3)x - 4/3

Rewriting the equation 6x – 9y = 12 in terms of y is as follows;

Divide through by 9 so that we have;

y = (2/3)x - 4/3

Read More on Change of formula subject:

https://brainly.com/question/9584546

Answer:

3-1.2=1.8

Step-by-step explanation:

12/4=3-1.2=1.8

Answer:

Step-by-step explanation:

Given the expression

[tex]\left(x+5\right)^2-10=0[/tex]

Add 10 to both sides

[tex]\left(x+5\right)^2-10+10=0+10[/tex]

Simplify

[tex]\left(x+5\right)^2=10[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

solve

[tex]x+5=\sqrt{10}[/tex]

Subtract 5 from both sides

[tex]x+5-5=\sqrt{10}-5[/tex]

[tex]x=\sqrt{10}-5[/tex]

[tex]x=-1.8[/tex]

so

[tex]x+5=-\sqrt{10}[/tex]

Subtract 5 from both sides

[tex]x+5-5=-\sqrt{10}-5[/tex]

Simplify

[tex]x=-\sqrt{10}-5[/tex]

[tex]\:x=-8.2[/tex]

As -1.84 > -8.16

so