Which graph best represents the equation y = -2x + 5?

Answer:

Question 11:

[tex]\angle DAC = 53^\circ[/tex]

[tex]\angle AED = 90^\circ[/tex]

[tex]\angle ADC = 74[/tex]

[tex]DB = 16[/tex]

[tex]AE = 6.03[/tex]

[tex]AC = 12.06[/tex]

Question 12:

[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]

Question 13:

AC and BD are perpendicular lines, and they are diagonals

Step-by-step explanation:

Question 11

Given

[tex]\angle BAC = 53^\circ[/tex]

[tex]DE = 8[/tex]

See attachment for Rhombus

Required

Determine the indicated sides

Solving (a): [tex]\angle DAC[/tex]

Diagonal CA divides [tex]\angle DAB[/tex] into 2 equal angles

i.e

[tex]\angle DAC = \angle BAC[/tex]

So:

[tex]\angle DAC = 53^\circ[/tex]

Solving (b): [tex]\angle AED[/tex]

The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.

So:

[tex]\angle AED = 90^\circ[/tex]

Solving (c): [tex]\angle ADC[/tex]

First, we calculate [tex]\angle ADE[/tex], considering [tex]\triangle ADE[/tex]:

[tex]\angle ADE + \angle AED + \angle DAC = 180[/tex]

[tex]\angle ADE + 90 + 53 = 180[/tex]

[tex]\angle ADE + 143 = 180[/tex]

[tex]\angle ADE = -143 + 180[/tex]

[tex]\angle ADE = 37[/tex]

To calculate [tex]\angle ADC[/tex], we have:

[tex]\angle ADC = 2*\angle ADE[/tex]

[tex]\angle ADC = 2* 37[/tex]

[tex]\angle ADC = 74[/tex]

Solving (d): [tex]DB[/tex]

From the rhombus

[tex]DB = DE +EB[/tex]

Where

[tex]DE =EB[/tex]

So:

[tex]DB = 8 + 8[/tex]

[tex]DB = 16[/tex]

Solving (e): [tex]AE[/tex]

To do this we consider [tex]\triangle ADE[/tex]

Using the tan formula

[tex]tan(\angle ADE) = \frac{AE}{DE}[/tex]

[tex]\angle ADE = 37[/tex] and [tex]DE = 8[/tex]

So:

[tex]\tan(37) = \frac{AE}{8}[/tex]

[tex]AE = 8 * \tan(37)[/tex]

[tex]AE = 6.03[/tex]

Solving (f): [tex]AC[/tex]

This is calculated as:

[tex]AC = AE + EC[/tex]

Where

[tex]AE = EC[/tex]

[tex]AC = 6.03 +6.03[/tex]

[tex]AC = 12.06[/tex]

Question 12: Isosceles Triangle

In the rhombus, all 4 sides are equal;

So, the isosceles triangle are:

[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]

Question 13:

AC and BD are perpendicular lines, and they are diagonals

Answer:

n=2

Step-by-step explanation:

16+6n=7(6-n)

16+6n=42-7n

-16 +7n -16 +7n

13n=26

13n/13=26/13

n=2

Answer:

what's the question i need more info

Answer:

[tex] y = \frac{3}{7} x + 3 [/tex]

Step-by-step explanation:

Line is passing through the points (0, 3) and (7, 6)

So, y-intercept (b) = 3

Slope of the line (m) = (6 - 3)/(7 - 0) = 3/7

Equation of line in slope-intercept form is given as :

y = mx + b

Plugging the values of m and b in the above equation, we find:

[tex]y = \frac{3}{7} x + 3 \\ [/tex]

Answer:

The average yearly drop in enrollment is 12.

Step-by-step explanation:

The average refers to the central value in a group of numbers and with the information provided, you can find the average by dividing the number of students that dropped out of the school by the number of years over which that ocurred:

number of students= 60

number of years= 5

60/5=12

According to this, the answer is that the average yearly drop in enrollment is 12.

Answer:

the surface area is 544 square units

Step-by-step explanation:

the tringles first

12 x 8 = 96

base

12 x 14 = 168

sides

10 x 14 x 2 = 280

96 + 168 + 280

im going to break it down

000 + 100 + 200 = 300

90 + 60 + 80 = 230

6 + 8 + 0 = 14

300 + 230 = 530

530 + 14 = 544

The surface area of the triangular prism is equivalent to 330 units square.

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces.

Given is a triangular prism as shown in the image.

We can calculate the surface area of the triangular prism as follows -

A{P} = {2 x A(T)} + {2 x A(R)} + A{B}

A{P} = {2 x 1/2 x 12 x 8} + {2 x 14 x 10} + {14 x 12}

A{P} = 12 x 8 + 2 x 140 + 14 x 12

A[P} = 4{3 x 2} + 2(7 + 6) + 280

A[P} = 24 + 26 + 280

A{P} = 330 units square

Therefore, the surface area of the triangular prism is equivalent to 330 units square.

To solve more questions on prisms, visit the link below -

https://brainly.com/question/11336446

#SPJ2

Answer:

largest ∡ = 81°

Step-by-step explanation:

44 + 3x - 11 + 4x - 7 = 180

7x + 26 = 180

7x = 154

x = 22

4(22)-7 = 81

P = a + b + c =4.81 + 8.8 + 8.42 = 22.03

5k + 30 = -20 - 5k

5k + 5k = -20 - 30

10k = -50 / : 10

k = -5

Answer:

-5 = k

Step-by-step explanation:

5k + 30 = -20 - 5k

5k + 30 + 20 = 5k + 50

-20 - 5k + 20 = -5k

5k + 50 = -5k

5k + 50 - 5k = 50

-5k - 5k = -10k

50 = -10k

50 / -10 = -5

-10k / -10 = k

-5 = k

Answer:

24

Step-by-step explanation:

if he splits 1 yard into 6 pcs for 6 bracelets 4 times, thats 24 pieces of yarn that are 1/6 of a yard long meaning he can make 24 bracelets

Answer:

490.9 yards squared.

Step-by-step explanation:

you would use the formula for area of a circle r^2 x pi

the diameter is 25, so the radius is 1/2 of that or 12.5

12.5^2 x pi = 490.9

answers:

4.C po

Step-by-step explanation:

i hope its help

Answer

1953. 64

Step-by-step explanation:

Answer:

Step-by-step explanation:

With reference angle x

perpendicular (p) = 11

hypotenuse (h) = 18

Now

sin x = p / h

sin x = 11 / 18

x = sin ^-1( 11/ 18)

x = 37.66

x = 37.7

Awnser: 37.7

Sin: Oppostie/Hypotonuse

11/18=sin(x)

sin^-1(11/18)= 37.6698...

Answer: [tex]\dfrac{6\sqrt{2}+\sqrt{7}}{12},\ \dfrac{-3-2\sqrt{14}}{12}[/tex]

Step-by-step explanation:

Given

x and y is in the fourth quadrant

[tex]\sin x=-\dfrac{1}{3}\\\\\cos y=\dfrac{3}{4}[/tex]

we know,

[tex]\cos (x-y)=\cos x\cos y+\sin x\sin y\\\sin (x+y)=\sin x\cos y+\cos x\sin y[/tex]

using  [tex]\sin ^2\theta +\cos^2 \theta =1[/tex]

[tex]\Rightarrow \cos x=\dfrac{2\sqrt{2}}{3}\\\\\Rightarrow \sin y=-\dfrac{\sqrt{7}}{4}[/tex]

[tex]\Rightarrow \cos(x-y)=(\dfrac{2\sqrt{2}}{3})\times (\dfrac{3}{4})+(-\dfrac{1}{3})\times (-\dfrac{\sqrt{7}}{4})=\dfrac{6\sqrt{2}+\sqrt{7}}{12}\\\\\\\Rightarrow \sin (x+y)=(-\dfrac{1}{3})\times \dfrac{3}{4}+\dfrac{2\sqrt{2}}{3}\times (\dfrac{-\sqrt{7}}{4})=\dfrac{-3-2\sqrt{14}}{12}[/tex]

Answer:

rectangular prism

Step-by-step explanation:

The sides fold up into a rectangular shaped box, or a prism. Hope this helps!

Answer:

A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02)

Step-by-step explanation:

In this case, you are breaking each term down to it's non-zero digits, and adding them:

46.61 = 40 + 6 + 0.6 + 0.01

51.52 = 50 + 1 + 0.5 + 0.02

Note however, that the answer choices add each individual non-zero terms together:

(40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02), or A)

A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02) is your answer.

~

Answer: 2x^2-2x-36 is the correct answer

Step-by-step explanation: Add 8x+31 and 2x^2-2x-36 and you will get 2x^2+6x-5. (i took the test and got it correct)

Answer: 1.38

Step-by-step explanation:

552

x 25

02760

11040

02760+11040=13800.

then you put your decimal over 4 spots and you take the 2 zeros off the end and get your answer of

Answer:

the area is 324 cm²

Step-by-step explanation:

Answer:

area = 324 cm²

Step-by-step explanation:

since it's  a square, all sides are equal in length.

72/4 = 18

18 x 18 = 324 cm²

Answer:

11.1 times

Step-by-step explanation:

Answer:

11 times

Step-by-step explanation:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110

Answer: its not showing the

Step-by-step explanation:

Answer:

#1: Alternet Exterior

#2: Corresponding

#3:Same Side Interior

#4:Alternate Interior

Step-by-step explanation:

(The Blue box in the image represent the inside/interior)

Hopefully the image helps!

Answer:

33.51

Step-by-step explanation:

V=4 3πr3=4 3·π·23≈33.51032

Answer:

The correct answer is C:

The area of the triangle is 21 square feet, because the area of the

rectangle is 42 square feet.

Answer:

disagree

Step-by-step explanation:

subtituting b with 5 we get 5/7=35. they are not equal do karen is not correct.

Answer:

No

Step-by-step explanation:

If the equation was 7b=35 then yes Karen would be correct. However the equation is b/7=35 which would get you b = 245

Answer:

Step-by-step explanation:

i need the points sorry dude!

Answer:

3*(4+5)-6=21

4*(3+2)-8=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

11x - 16 = -49

=> 11x = - 49 + 16

=> 11x = -33

[tex] = > x = \frac{ - 33}{11} [/tex]

=> x = -3 (Ans)

Answer:

x=-3

Step-by-step explanation:

1. Add 16 to both sides of the equation

11−16=−49

11−16+16=−49+16

2. Simplify.

IF you add the numbers you will get:

11x=-33

3. Divide both sides of the equation by the same term

11=−33

11/11=−33/11

4. Simplify.

x=-3

Hope this helps       :)

Answer:

102.05 inches squared