Triangle Q S R is shown. Angle Q S R is a right angle. Altitude s is drawn from point S to point T on side Q R to form a right angle. Side Q S is labeled r and side W R is labeled q. The length of Q T is 10 and the length of R T is 4. What is the value of q? 4 StartRoot 5 EndRoot 2 StartRoot 14 EndRoot 20 StartRoot 5 EndRoot

Answer:

(-4, -3)

Step-by-step explanation:

Using elimination by addition and subtraction works best here.

Suppose we decide to eliminate x temporarily.  To do this, we multipy the first row by 4, obtaining

-12x + 28y = -72

  4x  - 4y   =   8

Next, multiply the second row by 3, obtaining the "equivalent system"

-12x + 28y = -72

  12x - 12y   =  24

Combining these equations, column by column, we get:

16y = -48.  So y = -3.

Now let's find x.  Substitute -3 for y in the second equation:

4x - 4(-3) = 8, or

4x + 12    = 8, or

4x            = 8 - 12  = -4.  This tells us that x = -4.

The solution is thus (-4, -3).

Answer:

1. y = 3x - 3

2. y = -2 1/2x + 10

10/-4 = -2 1/2 is the slope

3.  undefined

4. y = x - 4

5. y = x - 5

6. 6x + 2y = 4 and -3y = 9x + 12

7. -3x + y = 7, y = 3x + 1, and y =3x

8. y = 2x + 5

9. y = 1/4x - 4

Answer:

13(g+4)=79=16    if          -13(g+4)=79+16

g=43/13                               g=-147/13=-11 1/13

Step-by-step explanation:

13g+52=95               -13g-52=95

13g=95-52                -13g=95+52

13g=43                      -13g=147

g=43/13                       g=-147/13=-11 1/3

Answer:

x-45=12

Step-by-step explanation:

a number equals x

difference equals -

of a number and 45 so 45 first

is equals =

12 is after is so 12

Answer:

I believe the answer is A.

Answer: 491 cards

Step-by-step explanation:

Given

Steve had 10 more cards than Jeff

Suppose Jeff has x cards

So, steve has x+10 cards

Steve handover his cards to Jeff

Now, Jeff has x+x+10=2x+10 cards

It must be equal to 992

[tex]\Rightarrow 2x+10=992\\\Rightarrow 2x=982\\\Rightarrow x=491\ \text{cards}[/tex]

Jeff started with 491 cards

Answer:

should be 7776

Step-by-step explanation:

I just used an area for cubes calculator.

Answer:

32% of the sixth grade students live on Saturn.

(which would be about 29 of them)

Answer:

Choice D - 8cm and 9cm.

Explanation:

The other sides are not greater than 13.

A: 5 + 8 = 13

B: 6 + 7 = 13

C: 7 + 2 = 9

However, D is greater than 13 and is the correct answer.

D: 8 + 8 = 16.

Step-by-step explanation:

2x + 9° + 3x + 1° =180° (opposite angles of a cyclic quadrilateral are supplementary)

5x + 10° = 180°

5x = 180° - 10°

5x = 170°

x = 34°

Now

Angle A

= 2 * 34° + 9°

= 77°

Hope it will help :)❤

Answer:

Step-by-step explanation:

[tex]\text{The area of a circle can be expressed as}\\ \\ A=\pi r^2\ or\ A=\frac{\pi d^2}{4}\\ \\ \text{You are told d=11in and to approximate pi with 3.14 so}\\ \\ A=\frac{3.14(11^2)}{4}\\ \\ A\approx 94.985\ in^2[/tex]

Answer:

Step-by-step explanation:

[tex]v = 10 + 3 \times 2.5 \\ v = 10 + 7.5 \\ v = 17.5[/tex]

This is your answer :))

Answer:

V = 17.5

Step-by-step explanation:

[tex]v = u + at \\ v = 10 + 3(2.5) \\ v = 10 + 7.5 \\ v = 17.5[/tex]

I hope that is useful for you :)

Answer:

Total amount = £56

Step-by-step explanation:

Let Henry and Gavin be H & G respectively.

Let Henry's and Gavin's share be x.

Given the following data;

Ratio of H to G = 5:3

Henry = G + £14

Translating the word problem into an algebraic expression, we have;

5x = 3x + 14

5x - 3x = 14

2x = 14

x = 14/2

x = £7

Next, we determine the amount earned by Gavin;

Gavin = 3x

Gavin = 3*7

Gavin = £21

For Henry;

Henry = G + £14

Henry = £21 + £14

Henry = £35

Now, to find the total amount earned by Henry and Gavin.

Total amount = H + G

Total amount = 35 + 21

Total amount = £56

Answer:

(1 suptlimary)  ( 2. 41)     (3. alternate exterior)  (4. 149)

Step-by-step explanation:

(12x^2-10x-12)÷(3x+2)

=(2x-3)(3x+2)÷(3x+2)

=(2x-3)

Step-by-step explanation:

Answer would be (2x-3)

Answer:

C) 0.5

Step-by-step explanation:

8x-5=-1

8x=-1+5

8x=4

x=4/8

simplify

x=1/2

Strong, they are all close together and close to the line.

Answer:It looks like it would be strong Step-by-step explanation: They are close together.

Answer:

600,000

Step-by-step explanation:

around 620,000 so 600000 is the closest answer

Answer: around 600,000

Step-by-step explanation: you can basically solve this using just basic logic of thinking which would be too large or small

Answer:

The mean is decreased by 1.25.

The mode  remains the same.

The median is decreased by 2 .

Step-by-step explanation:

Re arranging the data 14, 22, 20, 25, 26, 17, 21, 30, 27, 25, 14, and 29.

Gives

14, 14,17,20,  21, 22, 25,25, 26,  27, 29,30,  

Now the mean = 14, +14,+17, +20, +21,+ 22, +25,+25,+ 26, +  27, +29,+30/12

Mean= 270/12=22.5

The Mode ( the repeated value) = 14,25

Median ( the average of middle value) =  22+25/2= 23.5

When 30 is replaced is by 15

Now the mean = 14, +14, +15,+17, +20, +21,+ 22, +25,+25,+ 26, +  27, +29/12

The  Mean becomes = 255/12=21.25

The Mode ( the repeated value) = 14,25

Median ( the average of the middle value) =  21+22/2= 21.5

The difference between the 2 means  is = 22.5- 21.25= 1.25

The mode  remains the same.

The median is decreased by 2 .

The mean is decreased by 1.25 which is more than 50 % of the value obtained between the ratio of the omitted and added value (30/15=) i.e. 2

Answer:

Area = 50 cm²

Step-by-step explanation:

Area of a trapezium ABDE = ½(a + b)h

where,

a = BD = 2.5 cm

b = AE = 7.5 cm

h = DE = ?

We need to find DE ti be able to calculate the area.

DE = CE - CD

DE = CE - 5

Since ∆ACE is similar to ∆BCD, therefore:

AE/BD = CE/CD

Plug in the values

7.5/2.5 = CE/5

Cross multiply

CE*2.5 = 7.5*5

CE*2.5 = 37.5

Divide both side any 2.5

CE = 37.5/2.5

CE = 15

Thus, DE = CE - 5 = 15 - 5

DE = 10

✅Area of trapezium = ½(BD + AE)DE

= ½(2.5 + 7.5)*10

= ½(10)10

= 50 cm²

Answer: if ur looking 4 the surface area, then its 216 cm2.

Step-by-step explanation:

a= 1/2 b h

a= 1/2 (6) (4)

a= 12

12x2=24

a=lw

a= 12(5)

a= 60

60x2= 120

a=lw

a= 6(12)

a= 72

24+72+120= 216

Answer:

-2^5

Step-by-step explanation:

hope it helped. im not sure..

Answer:

Pepperoni

Step-by-step explanation:

Pepperoni showed up the most out of everything else

4x+3x+7x+5+2-3

14x+7-3

14x+4

14x + 10 (DO NOT ADD IT TOGETHER THAT'S JUST THE ANSWER I DID THIS IN SCHOOL 2-DAY)

Step-by-step explanation:

(4x+5) +(3x+2) + (7x-3)

Add 4x+3x+7x

14x

Add 5+2+3

10

Answer:

$9000

Step-by-step explanation:

I=?

p=$300

R=5*1/100

T=6

I=P*R*T

$300*5/100*6

=$9000

Answer and Step-by-step explanation:

1. Given

This part is given at the beginning of the problem.

2. Corresponding Angles Postulate

Because the lines are parallel, these two angles will be congruent by the corresponding angles postulate.

3. Same-Side Interior Angles Theorem

The same-side interior angles theorem has it so that the angles within parallel lines will add up to 180.

4. Substitution

We can use substitution here because we already determined that the measure of angle UTY is congruent to the measure of angle HGY.

I hope this helps!

#teamtrees #PAW (Plant And Water)

Answer:

Below.

Step-by-step explanation:

m <UTY + m <UTR = 180 degrees ( Angles on a straight line YR)

But m < UTR = m<RWX ( Corresponding angles  in the parallel lines SU and VX)

So substituting for m< UTR in the first equation:

m <UTY + m<RWX  = 180.