The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answer:

6

Step-by-step explanation:

Using the similarity theorem f the triangle

(4+6)/x+9 = 4/x

10/x+9 = 4/x

Cross multiply

10x =4(x+9)

10x = 4x+36

10x-4x = 36

6x = 36

x = 6

Hence the value of x is 6

Answer:

Step-by-step explanation:

Given function:

Vertex form:

Axis of symmetry is the line parallel to y-axis and passes through vertex. The x-coordinate of the vertex is determined by the value of h in the above equation.

We have h = 3 as per given equation for the function.

Axis of symmetry is the line x = 3

9514 1404 393

Answer:

Step-by-step explanation:

The midpoint formula is useful here. For midpoint M, we have ...

  M = (C + D)/2

  2M = C + D

  2(10, 10) = (15, s) +(t, 3)

  (20, 20) = (15+t, s+3)

  t = 20 -15 = 5

  s = 20 -3 = 17

__

Check

  (C +D)/2 = ((15, 17) +(5, 3))/2 = (20, 20)/2 = (10, 10) . . . checks OK

Answer:

8 more attackers than defenders

Step-by-step explanation:

36÷18=2

2x11=22

2x7=14

Answer:

8

Step-by-step explanation:

sum the parts of the ratio, 11 + 7 = 18 parts

Divide the number of players by 18 to find the value of one part of the ratio

36 ÷ 18 = 2 players ← value of 1 part of the ratio, then

11 parts = 11 × 2 = 22 ← number of attackers

7 parts = 7 × 2 = 14 ← number of defenders

22 - 14 = 8

There are 8 more attackers than defenders

Answer:

Bob is at the top, so he starts at step 9.

Sue is at the bottom, so she is at the step 0 (this is the floor, before stepping on step 1)

Sue climbs from one step on one step.

Then she if she climbs n times, she will be at the step number:

S(n) = 0 + 1*n

And Bob goes down by 2 steps each time, then after he goes down n times, his position will be:

B(n) = 9 - 2*n

We want to see when they meet, then we need to solve:

S(n) = B(n)

1*n = 9 - 2*n

1*n + 2*n = 9

3*n = 9

n = 9/3 = 3

n = 3.

This means that they meet a the step:

S(3) = 3*1 = 3

B(3) = 9 - 2*3 = 9 - 6 = 3

They meet at the third steep.

Answer and Step-by-step explanation:

The y-intercept is (0, 3)

The value 3 is in the y place.

#teamtrees #WAP (Water And Plant)

Answer:

4

Step-by-step explanation:

It is. I just know it lol

Answer:

Figure 3

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

[tex]8x + 1 > - 31 \\ 8x > - 1 - 31 \\ 8x > - 32 \\ x > \frac{ - 32}{8} \\ x > - 4[/tex]

Answer:

∠XZW = 95°

Step-by-step explanation:

∠YXZ = 180 - 150

∠YXZ = 30°

∠XZY = 180 - (30+65)

∠XZY = 180 - 95

∠XZY = 85°

∠XZW = 180 - 85

∠XZW = 95°

When interset compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

If the interest compounded continuously:

P = $12000, r = 4.5% = 0.045%

[tex]\rm A(t) =12000(e)^{0.045t}[/tex]

When t = 10 years, plug this value in the above expression and calculating, we get;

A(10) = $18819.75

When interest compounded daily:

[tex]\rm A(t) = 12000(1+\dfrac{0.045}{365})^{365t}[/tex]

Plug t = 10 years:

We get;

A(10) = $18819.22

Similarly,

If interest is compounded monthly:

n = 12 and t =10, we get:

A(10) = $18803.91

Thus, when interset compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.

Learn more about the compound interest here:

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Answer:

Step one - she didn't multiply the 4.5 with the 7

Answer:

Add the reciprocal or -4/5 which is +5/4 and then add it

Step-by-step explanation:

Answer:

18.86 feet

Step-by-step explanation:

One rotation of the tire is equal to the circumference of the tire

The formula for circumference of a circle (remember that a tire is shaped as a circle) = πd

where

π = 22/7

d = diameter

The size of one revolution = 2 x 22/7 = 44/7 feet

The distance covered in one rotation of the tire is 44/7 feet

The distance covered in 3 rotations = (44/7) x 3 = 18.86 feet

Answer:

P425

Step-by-step explanation:

Given data

We are given that the family exchanged

$250 for P4250

the rate is

$250 for P4250

$1  will be x

x= 4250/250

x= P17

the pesos equivalent of $25 will be

= 25*17

= P425

Answer:

-y+(x-12)=-1

Step-by-step explanation:

Answer:

8 meters per minute

Step-by-step explanation:

120/50=8

Hope this helps! :)

Answer:

8 meters/second

Step-by-step explanation:

Divide the distance(120 meters) by the time(15 minutes) to find the answer. the formula for any speed problem is d/t.

Hope this helps!

Answer:

a little bit more than 37.70 yards

Step-by-step explanation:

your welome

Answer:

(x−3)(x+9)

Step-by-step explanation:

The middle number is 6 and the last number is -27.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 6

Multiply together to get -27

Can you think of the two numbers?

Try -3 and 9:

-3+9 = 6

-3*9 = -27

Fill in the blanks in

(x+_)(x+_)

with -3 and 9 to get...

(x-3)(x+9)

Answer:

Step-by-step explanation:

Supplementary angles add up to 180°.

“θ is 148° more than its supplement”

Supplement of θ = 180°-θ

θ = (180°-θ) + 148°

2θ = 328°

θ = 164°

Supplement of θ = 180°-164° = 16°

Answer:

18.75%

Step-by-step explanation:

Green beans = 160 pounds

Amount sold in 1 hour = 10 pounds

Amount sold in 3 hours = 3x10= 30 pounds

Decrease in 3 hours = 30 pounds

% decrease = (30/160) x 100

=300/16

=75/4

=18.75%

Answer:

The answer is 4.

Step-by-step explanation:

If you put four dashes on the number line, you will end up with fifths.

Answer:

4

Step-by-step explanation: A general rule of thumb is that the answer for these types of problems is always 1 less than the number of segments needed. For example, 7ths would = 6 cuts and 3rds would be 2 cuts.

Answer:

300

Step-by-step explanation:

hope the above solution will help you

Answer:

D. 300

Step-by-step explanation:

Constants don't have any variables involved (x, y).

Answer:

a.Equation :y=40-2.5x

b.straight, decreases, the same

Step-by-step explanation:

Answer:

$2.22

Step-by-step explanation:

Answer:

B red shirt, skining pant, boots

The number of times that Eber stop, including his final stop at the end of his run, will be 4 times.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Eber ran 3 miles. He stopped to take a break every 3/4 mile.

Then the number of times that Eber stop, including his final stop at the end of his run, will be given as,

⇒ 3 ÷ (3/4)

⇒ 3 x (4 / 3)

⇒ 4 times

The number of times that Eber stop, including his final stop at the end of his run, will be 4 times.

More about the Algebra link is given below.

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Answer:

c. 11

Step-by-step explanation:

By the property of intersecting secants outside of a circle, we have:

[tex] m\angle R = \frac{1}{2} \times (175\degree - 75\degree) [/tex]

[tex] m\angle R = \frac{1}{2} \times 100\degree [/tex]

[tex] (4x+6)\degree = 50\degree [/tex]

4x + 6 = 50

4x = 50 - 6

4x = 44

[tex] x = \frac{44}{4} [/tex]

x = 11

Answer:

-5

-3 + -5 = -8