What additional piece of information is needed to prove the triangles congruent by ASA?
S
T
J
B
D
P
A. ZT ZD
B. ZJ - ZS
C
JT – SD
D. TB-DP

Answer:

A)

Step-by-step explanation:

mark me brainliest plzzzzzzz

Answer:

Step-by-step explanation:

2100000 × (1.06)³= sorry I don't have a calculator but type that in.

The power 3 is for the years 2012 and 2015 as there is a 3 year gap. Hope that helps

Answer:

$18.75

Step-by-step explanation:

15% = 15/100

125 × 15/100

=1875/100

=18.75

Answer:

[tex]x=4.02[/tex]

Step-by-step explanation:

The given triangle is a right triangle, this is indicated by the box around one of the angles, signifying that the angle is a (90) degree angle. Therefore, to solve this problem one must use trigonometric ratios. These ratios are used to describe the relationship between an angle and the sides in a right triangle.

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}\\[/tex]

Bear in mind, the names of the sides of the triangle are relative to the angle that one uses to describe it in the triangle. Therefore the (opposite) and (adjacent) sides will change depending on the angle one chooses to look at it from.

In this case, one is given the length of the side opposite the given angle. One is asked to find the measure of the side adjacent to the angle. Therefore, it would make the most sense to use the tangent (tan) ratio.

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

Substitute,

[tex]tan(20)=\frac{9}{x}[/tex]

Manipulate the equation such that it is solved for (x),

[tex]x=\frac{9}{tan(20)}[/tex]

Solve,

[tex]x=4.02[/tex]

Answer:

the answer is A. 0.48 $

Step-by-step explanation:

the price of ounce of the watermelon is :

[tex] \frac{5.76}{12} = 0.48 \: [/tex]

Answer:

60.9º

Step-by-step explanation:

tan = opp/adj

tanX = 45/25

X = arctan 45/25

use calculator

X = 60.945395900922855

Rounded

60.9º

Answer:

tan30°= opp÷adj = b÷1/2 =0.577=b÷0.5 then, b=0.2885

Answer:

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

this figure can be "split" into 3 sub-figures.

one rectangle in the middle, one triangle to the right, and one triangle on top.

these areas we can calculate very easily. and then we simply sum up all 3 of them and we have the answer.

it is clear, the area of a rectangle is length×width.

and the area of triangle is baseline×height/2.

where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

the rectangle

R = 10×6 = 60

the triangle to the right

T1 = (14-10)×6/2 = 12

the triangle on the top

T2 = 10×(10-6)/2 = 20

so, the total area is

60+12+20 = 92

The area of the given figure is 92.

This figure contained 3 sub-figures.

One rectangle in the middle, one triangle to the right, and one triangle on top.

The area of these areas we can calculate very easily. and then we ad  all 3 of them and we have the answer.

The area of a rectangle is,

[tex]A=length\times width.[/tex]

The area of triangle is

[tex]A^*= \frac{1}{2} \times base\times height[/tex]

Where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

The area of  rectangle

[tex]R =l\times w \\R=10\times 6 \\R= 60[/tex]

The triangle to the right

[tex]T_1 = (14-10)\times 6/2 = 12[/tex]

The triangle on the top

[tex]T_2 = 10\times (10-6)/2 = 20[/tex]

Therefore, the total area is,

60+12+20 = 92

Therefore the area of the given figure is 92.

To learn more about the area visit:

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Answer: 18 color papers

Step-by-step explanation:

The ratio of color paper to white paper is 3:8 which means that for every 3 color papers there should be 8 white papers.

If there are 48 white papers therefore, you need to use direct proportion to solve for the color papers:

3        :       8

x                48

8x = 144

x = 144 / 8

x = 18 color papers

Answer:

9/10 x 4/5 = 36/50 simplified = 18/25 is your area

Answer:

8/23. Sana po makatulong

Answer:

22.1

Step-by-step explanation:

33.15/n

33.15/1.5

= 22.1

Answer:

19 measures the median

Step-by-step explanation:

The dot plot is not shown, but the question can still be answered.

We have:

[tex]Samples: 18, 18, 18, 18, 20, 20, 22, 23[/tex]

[tex]n = 8[/tex]

Calculate the median position using:

[tex]Median = \frac{n + 1}{2}th[/tex]

[tex]Median = \frac{8 + 1}{2}th[/tex]

[tex]Median = \frac{9}{2}th[/tex]

[tex]Median = 4.5th[/tex]

4.5th means the median is the mean of the 4th and 5th item.

We have:

[tex]4th = 18[/tex]

[tex]5th = 20[/tex]

So:

[tex]Median = \frac{18 + 20}{2}[/tex]

[tex]Median = \frac{38}{2}[/tex]

[tex]Median = 19[/tex]

Answer:

[tex]r=\frac{7±3\sqrt{5} }{2}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

Step-by-step explanation:

2r² + 7r - 1 = 3r²

2r² + 7r - 1 - 3r² = 0

- r² + 7r - 1 = 0

- (r² - 7r + 1) = 0

- (r² - 7r + 1) ÷ - 1 = 0 ÷ - 1

r² - 7r + 1 = 0

[tex]r=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

r² - 7r + 1 = 0

a = 1

b = - 7

c = 1

[tex]r=\frac{-(-7)±\sqrt{(-7)^{2}-4((1)(1)) } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{49-4((1)(1)) } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{49-4 } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{45 } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{(3)(3)(5) } }{2(1)}[/tex]

[tex]r=\frac{7±(\sqrt{3 } )(\sqrt{3})(\sqrt{5}) }{2(1)}[/tex]

[tex]r=\frac{7±3\sqrt{5} }{2}[/tex]

Two separate equations

[tex]r=\frac{7+3\sqrt{5} }{2}[/tex]

[tex]r=\frac{7-3\sqrt{5} }{2}[/tex]

Answer:

overdraft fees is your answer

Step-by-step explanation:

Answer:

W 2,3

X 5,3

Y 1,2

Z  8,4

Step-by-step explanation:

The coordinates of the Rhombus after the dilation is W' ( 3 , 0 ) , X' ( 12 , -3 ) , Y' ( 15 , -12 ) and Z' ( 6 , -9 )

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.

Given data ,

Let the coordinates of the rhombus be represented as WXYZ

where W' ( 1 , 0 ) , X ( 4 , -1 ) , Y ( 5 , -4 ) and Z ( 2 , -3 )

Now , the dilation scale factor is k = 3 centered at origin

So , result of this transformation is an image with the same shape as the original

The coordinates of the dilated figure is W'X'Y'Z'

where W' ( 3 , 0 ) , X' ( 12 , -3 ) , Y' ( 15 , -12 ) and Z' ( 6 , -9 )

Hence , the dilation is solved

To learn more about dilation click :

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Answer:

6n + 12 = -60 - 35

-12              -12

6n = -107

Divide by 6 on both sides:

N = -17.8333333333  around -17

Step-by-step explanation:

We need to isolate the variable meaning keeping the variable by itself on the left side. In order to do that we must get rid of any constants or co-efficients.

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

= 6n + 12 = -95

= 6n = -95 - 12

= 6n = -107

= n = -107 / 6

= n = 17.83

Hope it helps!

Brainliest pls!

Follow me! :)

Oooooooioooooooooooo

Answer:

b

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The amount of lawns that he can mow in 10 hours is; A: five Lawns

We are told that it takes a time of 4 hours to mow 2 lawns. Thus, amount of lawn he can mow in 1 hour = 2/4 = 0.5 lawn per hour

Thus, amount of lawn he can mow in 10 hours = 0.5 * 10 = 5 lawns

In conclusion he will mow 5 lawns in 10 hours.

Read more about proportion of work at; https://brainly.com/question/1781657

Answer:

b) 8

Step-by-step explanation:

6x+(5x+2)=90

11x+2=90

11x=88

x=8

:)

Answer:

AEB =43

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

AED + AEB = 180

137+AEB = 180

AEB = 180-137

AEB =43

Answer:

[tex]\text{B. }43^{\circ}[/tex]

Step-by-step explanation:

Angles [tex]\angle AED[/tex] and [tex]\angle AEB[/tex] are supplementary, meaning they add up to 180 degrees, because they form one side of a line.

Thus, we have:

[tex]\angle AED+\angle AEB=180,\\137+\angle AEB=180,\\\angle AEB=\boxed{43^{\circ}}[/tex]

Answer:

See the image below for the answer:)

Step-by-step explanation:

Answer:

(a) (0.9240,  0.956)

(b) (0.6383, 0.7017)

Step-by-step explanation:

The number of internet users involved in the survey, n = 846

The percentage of the respondents that said the internet has been good thing for them personally, [tex]\hat p[/tex] = 94%

(a) The confidence interval of a percentage is given as follows;

[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

The z-value for 95% confidence interval = 1.96

We get;

[tex]CI=0.94\pm 1.96\times \sqrt{\dfrac{0.94 \times (1-0.94)}{846}} \approx 0.94 \pm 1.6003 \times 10^{-2}[/tex]

CI = 0.9240 ≤ [tex]\hat p[/tex] ≤ 0.956 = (0.9240,  0.956)

(b) The percentage of the internet users that said the internet has directly strengthened their relationship with their families, [tex]\hat p[/tex] = 67% = 0.67

The 95% confidence interval is therefore;

[tex]CI=0.67\pm 1.96\times \sqrt{\dfrac{0.67 \times (1-0.67)}{846}} \approx 0.67 \pm 3.1686\times 10^{-2}[/tex]

From which we have;

CI = 0.6383 ≤ [tex]\hat p[/tex] ≤ 0.7017 = (0.6383, 0.7017)

Step-by-step explanation:

the function A, according to the tables

=> the equation : f(x) = 2x +3

the slope = 2

the function B, according to the graph

=> the equation : f(x) = 3x -2

the slope = 3

based on the value of the slope, the function B has a greater rate of change

Answer:

Step-by-step explanation:

Find the slope for the two functions

Function A:

(1 , 5)  & (2 , 7)

Slope = Change in y ÷ change in x

         [tex]= \frac{7-5}{2-1}\\\\= \frac{2}{1}\\\\= 2[/tex]

Function B:

(1 ,1) , (2 , 4)

Slope = [tex]= \frac{4-1}{2-1} = \frac{3}{1}[/tex]

             = 3

Function B has a greater rate of change