Find the measurement of the missing angles in each triangle. Explain your steps.

Answer:

x = 23

y = 7

z = 11

Step-by-step explanation:

Since ∆PRS ≅ ∆CFH, therefore,

m<R = m<F

13y - 1 = 90° (substitution)

Add 1 to both sides

13y - 1 + 1 = 90 + 1

13y = 91

Divide both sides by 13

13y/13 = 91/13

y = 7

Since ∆PRS ≅ ∆CFH, therefore,

PS = CH

2x - 7 = 39 (substitution)

Add 7 to both sides

2x - 7 + 7 = 39 + 7

2x = 46

Divide both sides by 2

2x/2 = 46/2

x = 23

Since ∆PRS ≅ ∆CFH, therefore,

m<S = m<H

Find m<S

m<S = 180 - (m<P + m<R) (sum of ∆)

m<S = 180 - (28 + (13y - 1)) (substitution)

Plug in the value of y

m<S = 180 - (28 + (13)(7) - 1))

m<S = 180 - (28 + 91 - 1)

m<S = 180 - 118

m<S = 62°

Therefore, since m<S = m<H,

62° = 6z - 4 (substitution)

Add 4 to both sides

62 + 4 = 6z - 4 + 4

66 = 6z

Divide both sides by 6

66/6 = 6z/6

11 = z

The values of x, y, and z are;

x = 23

x = 23y = 7

x = 23y = 7z = 11

We are told that triangle PRS is congruent to triangle CFH.

Since both triangles are congruent, by inspection we can see that;

m<R = m<F

m<F is a right angle = 90°. Thus;

13y - 1 = 90

13y = 90 + 1

13y = 91

y = 91/13

y = 7

Also by inspection;

PS = CH

2x - 7 = 39

2x = 39 + 7

2x = 46

x = 46/2

x = 23

Since m<R is 90°, then;

m<S = 180 - (90 + 28)

m<S = 62°

By inspection;

m<S = m<H

Thus;

6z - 4 = 62

6z = 66

z = 66/6

z = 11

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Answer:

the first is 75

and the second is 4

Answer:

ok

Step-by-step explanation:

Answer:

A: I assume that the equation 4x+2 has a greater rate of change.

B: The function F has a greater y intercept.

Step-by-step explanation:

Trend in the table is multiply the x by 3 then add 6.

Your equation would be y = 3x+6 for the table.

Answer:

$5,831

Step-by-step explanation:

$5,831

Answer:

$20

Step-by-step explanation:

Answer fast? What?

x + 2y = 17...Equation A

8x + 3y = 45...Equation B

Solve A for x.

x = 17 - 2y

Plug this into B to solve for y.

8(17 - 2y) + 3y = 45

136 - 16y + 3y = 45

136 - 13y = 45

-13y = 45 - 136

-13y = -91

y = -91/-13

y = 91/13

y = 7

To find y, plug x = 7 into either equation to find x.

I will use Equation A.

x + 2y = 17

x + 2(7) = 17

x + 14 = 17

x = 17 - 14

x = 3

Answer: x = 3, y = 7

The  solution to the system of equations is (x = 3) and  (y = 7).

To find the values of x and y that satisfy the given system of equations:

1.  (x + 2y = 17)

2. (8x + 3y = 45)

We can use either the substitution method or the elimination method. Let's use the elimination method to solve this system

Step 1: Multiply both sides of the first equation by 3 to make the coefficients of y in both equations the same:

(3x + 6y = 51)

Step 2: Now, subtract the modified first equation (3x + 6y = 51) from the second equation (8x + 3y = 45):

(8x + 3y) - (3x + 6y) = 45 - 51)

Simplify:

(8x + 3y - 3x - 6y = -6)

Step 3: Combine like terms:

(5x - 3y = -6)

Step 4: Now, we have two equations:

1. (x + 2y = 17)

2. (5x - 3y = -6)

Step 5: Now, you can either use the substitution method or the elimination method again to find the values of x and y. Let's use the elimination method again to eliminate y: Multiply the first equation by 3 and the second equation by 2 to make the coefficients of y the same:

1. (3(x + 2y) = 3 times 17)  =>  (3x + 6y = 51)

2. (2(5x - 3y) = 2 times -6)  =>  (10x - 6y = -12)

Step 6: Now, add the modified first equation (3x + 6y = 51) to the modified second equation (10x - 6y = -12):  (3x + 6y + 10x - 6y = 51 - 12)

Simplify: (13x = 39)

Step 7: Divide both sides by 13 to solve for x:

  (x = frac{39}{13})

    (x = 3)

Step 8: Now that we have the value of x, we can find the value of y by substituting it back into either of the original equations. Let's use the first equation:

(x + 2y = 17)

(3 + 2y = 17)

Step 9: Solve for y:

(2y = 17 - 3)

(2y = 14)

(y = frac {14}{2})

(y = 7)

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Answer:

Uhh im sorry but this is a website for questions not donations

Step-by-step explanation:

im very sorry if that sounded rude but its kinda true ;/

Answer:

Step-by-step explanation:

1: Add 2 divide 3

2: -3

3:1

4:11

5:8

6:99

7:30

8: 70

9:10

10:2

Answer:

rational number

Step-by-step explanation:

Answer:

F= 4 4/6

Step-by-step explanation:

Lets break it down

3 1/6 + f - 7 5/6

3 plus what equals 7 answer 4!

1/6 pls how many more sixths equals 5/6th answer 4/6 ths

so overall you combine the two answers for whole and fraction an

Answer:

Heres your answer y=x^2 +7x-30

Answer:

y=x^2 +7x-30

Step-by-step explanation:

Hope this helps

Answer:

24

Step-by-step explanation:

3(5+6)-9

3(11)-9

33-9

24

Answer:24

Step-by-step explanation:

tis is the right answer

Answer:

It’s A 1 hour and 21 minutes

Step-by-step explanation:

Answer:

The bearing of the airport from the plane is 245°

Step-by-step explanation:

The bearing of a point from a location is given by the angle in degrees of rotation from the Northern direction of the location to the direction of the location of the point

The given bearing of the plane from the airport = 65°

Therefore, the direction of the plane from the Northern direction of the airport = 65°

From the Northern direction of the plane, the bearing of the airport = 245°

Answer:

Step-by-step explanation:

2(4z+3+3z)=174

7z+3=174/2=87

7z=87-3=84

z=84/7=12

WX=3z=3×12=36 units

Answer:

36 units

Step-by-step explanation:

[tex]2(4z + 3 + 3z) = 174 \\ \\ (7z + 3) = \frac{174}{3} \\ \\ 7z + 3 = 87 \\ \\ 7z = 87 - 3 \\ \\ 7z = 84 \\ \\ z = \frac{84}{7} \\ \\ z = 12 \: \\ \\ WX = 3z \\ \\ WX \: 3 \times 12 \\ \\ WX = 36\: units[/tex]

Answer:

3/10 or 30%

Step-by-step explanation:

900/3000 = 9/30 = 3/10 or 30%

Answer:

75 is the mice per year and 3 is the number of years

Step-by-step explanation:

Answer:

Step-by-step explanation:

I agree

Note: for similar triangle all the corresponding angle must be equal and the corresponding side are proportional

line AB segment on triangle PAB corresponds to line segment QR.

Part C: <Aangle on triangle PAB corresponds to angle Q

Answer: Note: for similar triangle all the corresponding angle must be equal and the corresponding side are proportional

line AB segment on triangle PAB corresponds to line segment QR.

Part C: <Aangle on triangle PAB corresponds to angle Q

Step-by-step explanation:

Step-by-step explanation:

Subtract 485 and 650.75 and your answer is -165.75, so he is 165.75 dollars over budget.

Answer:

$165.75

Step-by-step explanation:

if ask for over budget so it's

$650-$485 = 165.75

Answer:

Any time you take a binomial and multiply it to itself, you end up with a perfect square trinomial. For example, take the binomial (x + 2) and multiply it by itself (x + 2). The result is a perfect square trinomial.

[tex]\text {Hey! Let's Solve this Problem!}[/tex]

[tex]\text {\underline {The First Step is to Simplify}}[/tex]

[tex]\text {3*a=3a \rightarrow {3*4=12}}[/tex][tex]\text {3*a=3a}\\\text {3*4=12}[/tex]

[tex]\text {-5*a=-5a}\\\text {-5*-2=10}[/tex]

[tex]\text {Your New Problem Is: 3a+12+-5a+10=22}[/tex]

[tex]\text {\underline {The Next Step is to Combine Like Terms}}[/tex]

[tex]\text {3a+-5a=-2a}\\\text {12+10=22}[/tex]

[tex]\text {Your New Problem Is: -2a+22=22}[/tex]

[tex]\text {\underline {The Next Step is to Subtract 22}}[/tex]

[tex]\text {-2a+22-22=22-22}[/tex]

[tex]\text {Your New Problem Is: -2a=0}[/tex]

[tex]\text {\underline {The Final Step is to Divide 2}}[/tex]

[tex]\text {-2a/2=0/2}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\huge\boxed {a=0}[/tex]

[tex]\text {Best of Luck!}[/tex]

Answer:

0

Step-by-step explanation:

3(a + 4) - 5(a - 2) = 22

3a + 12 - 5a + 10 = 22

-2a + 22 = 22

-2a = 0

a = 0

I hope this helps you :)

Answer:

a, b, e

Step-by-step explanation:

i did the algebra nation.

Answer:

we need more

Step-by-step explanation:

-12 / -6 = 2....nope

-12 / 6 = -2....yep

-6 / -3 = 2....nope

6 / -3 = -2....yep

-6 / 3 = -2...yep

Step-by-step explanation:there you go happy early thanksgiveing you have a blessed day!

Answer:

X

Step-by-step explanation:

Answer:

x=102.4

Step-by-step explanation:

5:32=16:x

x=102.4

Hope this helps plz hit the crown :D

Answer:

15

Step-by-step explanation:

Since 30 and 45 are relatively small numbers, it's not a big deal to list every single one of their common factors.

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 45: 1, 3, 5, 9, 15, 45

Now that we have a list, it's easy to see which number is the highest common factor, which is, of course, 15.

Answer:

HCF of 30 and 45 is 15.

Step-by-step explanation:

Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30.

Factors of 45 : 1, 3, 5, 9, 15, 45.

Common Factors : 1, 3, 5, 15

Highest Common Factor : 15