Find the value of x.

Answer:

Step-by-step explanation:                    ..............

Answer:

m∠P = m∠Q = m∠R = 60º

Step-by-step explanation:

Because each of the sides are congruent, the angles are congruent. A triangle must add up to 180º, so when you divide 180 by 3, you get 60. Therefore, each angle is 60º.

Answer:

angle P = 60

angle Q = 60

angle R = 60

Step-by-step explanation:

The triangle in the picture is an equilateral triangle. This means that all angles are the same.

Since all triangles have the interior angle of 180, simply take 180 and divide it by 3:

⇒ 180 ÷ 3

⇒ 60

All three angles are 60 degrees

Given:

Total amount invested = $3000

Rate of annul interest on investments are 5% and 8%.

Total interest earned for the year = $210

To find:

The amount invested at each rate.

Solution:

Let the amount invested at 5% be [tex]\$x[/tex] and the amount invested at 8% be [tex]\$(3000-x)[/tex].

Total interest earned for the year = $210

It means. 5% of [tex]x[/tex] + 8% of [tex](3000-x)[/tex] = 210

[tex]x\times \dfrac{5}{100}+(3000-x)\times \dfrac{8}{100}=210[/tex]

Multiply both sides by 100.

[tex]5x+(3000-x)8=21000[/tex]

[tex]5x+24000-8x=21000[/tex]

[tex]-3x=21000-24000[/tex]

[tex]-3x=-3000[/tex]

Divide both sides by -3.

[tex]x=1000[/tex]

Now,

[tex]3000-x=3000-1000[/tex]

[tex]3000-x=2000[/tex]

Therefore, the amount invested at the rate of 5% is $1000 and the amount invested at the rate of 8% is $2000.

Answer:

3x^2+4x+1

Step-by-step explanation:

Given the polynomial function 4x + 3x^2 - 1

Rearranging in descending order means that we are to arrange the degree power from the highest to the lowest.

The term with the highest degree is 3x^2

Followed by 4x

Then the constant 1

Adding according to the descending powers

The polynomial in descending order will be 3x^2+4x+1

Answer:

It’s A!

Step-by-step explanation:

took the test :)

Answer:

It would be B: $39.00!

Step-by-step explanation:

Sry can't explain now.

But the answer is correct.

$39.00

Answer: The answer is B

Hope this helped love<3

Answer:

x = 4

b = 7

n = 40

I hope this helps!!!

Step-by-step explanation:

1) 12x-17 = 6x+7

        +17       +17

*do this because you want to get all of the variables to one side and all of the constants to one side*

12x = 6x + 24

-6x    -6x

6x = 24

*divide by 6 to get x alone, so you 24/6 = 4*

x = 4

2) -8b+1 = -5(b+4)

*must multiply -5 by everything in the parenthesises*

-8b+1 = -5b-20

     -1           -1

-8b= -5b-21

+5b  +5b

-3b = -21

b = 7

3) 350+10(n-7) = 630+2(n-15)

350+10n-70 = 630+2n-30

*combine like terms on both sides of the equation*

280+10n = 600+2n

-280           -280

10n = 320+2n

-2n            -2n

8n = 320

n = 40

Answer:

Step-by-step explanation:

We know that the Circumference = 3454 cm

And we also know that the formula for the Circumference of Circle is,

[tex]2\pi \times r[/tex]

So we can put the equation this way,

[tex]3454 = 2\pi \times r[/tex]

So we can solve for 'r'

[tex]3454 = 2 \times 3.14 \times r \\ 3454 = 6.28r \\ r = \frac{3454}{6.28} \\ r = 550[/tex]

Now we have radius and we can solve for the area of the circle,

[tex]\pi \times {r}^{2} [/tex]

[tex]3.14 \times 550 \times 550 \\ = 949850[/tex]

We can convert this to meter,

9498.5 m

I am not sure if this is correct just let me know thanks :)

6 units as a mixed number will get you to 16

Hi,

Lower extreme → 45

Upper extreme → 100

Answer:

Answers are down below!! ;)

Step-by-step explanation:

1. 7  :  4

  7 or 4

  7 to 4  

2. You will need 20 cups of milk.

ratio = 35:20

explanation: 35/7 = 5 and 4 x 5 =20

Bar diagram: (sorry it looks messy)

cups of flour l____________________________________________

cups of milk  l_____________________

                     _________________________________________________

                     2   4  6  8  10 12  14  16  18  20  22  24  26  28  30  32  34  36  38..

-----------------------------------------------------------

Hope this helps!! ;)

Answer:

= 10

Hope this helps if so don't hesitate to 'Thanks' and/or 'brainliest' this answer!

Answer: 152 I think

Step-by-step explanation:

Given:

A line passes through the points (2,-1) and (1,-5).

To find:

The equation of the line.

Solution:

If a line passes through the two points, then the equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through the points (2,-1) and (1,-5). So, the equation of the line is

[tex]y-(-1)=\dfrac{-5-(-1)}{1-2}(x-2)[/tex]

[tex]y+1=\dfrac{-5+1}{-1}(x-2)[/tex]

[tex]y+1=\dfrac{-4}{-1}(x-2)[/tex]

[tex]y+1=4(x-2)[/tex]

Using distributive property, we get

[tex]y+1=4(x)+4(-2)[/tex]

[tex]y+1=4x-8[/tex]

Subtract 1 from both sides.

[tex]y+1-1=4x-8-1[/tex]

[tex]y=4x-9[/tex]

Therefore, the correct option is B.

Answer:67

Step-by-step explanation:

Answer:

(1,6) , (2,7) , (3,8) , (4,9) , (5,10)

Step-by-step explanation:

Given equation: y = x + 5

when x = 1, y = 1 + 5 = 6

(1,6)

when x = 2, y = 7

(2,7)

when x = 3 , y = 8

(3,8)

when x = 4 , y = 9

(4,9)

when x = 5 , y = 10

(5,10)

Answer:

A

Step-by-step explanation:

sin= opp./hyp.

Answer:

the answer is b 8/17

Step-by-step explanation:

Answer:

the answer is D because a x variable cannot be at the bottom

Answer:

D

Step-by-step explanation:

just bc

Answer:

52.8 feets

Step-by-step explanation:

From the diagram :

The height of tree woulb be :

Height above the ground (at breakpoint) + hypotenus

Hypotenus, h cab be obtained using Pythagoras rule :

h² = opp² + adj²

h² = 39² + 12²

h² = 1665

h = sqrt(1665)

h = 40.804 feets

Height of tree to the nearest tenth ;

40.804 feets + 12 feets

= 52.804 feets

= 52.8 feets

Answer:

12/1

Step-by-step explanation:

Answer:

1:12 OR 1/12

Step-by-step explanation:

djdksjdhdjdishhsbdbSv

id.k

Answer:

0.3 miles

Step-by-step explanation:

Using trigonometry : d

Tanθ = opposite / Adjacent

Tan 11 = d1 / 2

2tan11 = d1

0.3887606 miles  = d1

Tanθ = opposite / Adjacent

Tan 11 = d2 / 2

2tan18 = d2

0.6498393 miles  = d2

d2 - d1 = Distance flown within the minute

0.6498393 - 0.3887606 miles

= 0.2610787 miles

= 0.3 miles

Answer:

Ana washed 8 cars.

Step-by-step explanation:

x=amount of cars washed

26=2x+10

16=2x

x=8

Answer:

Step-by-step explanation:

Answer:

z = [tex]\frac{979}{5}[/tex] or z = 195.8

y=-30

a = 5

b = -7

x = 64

Step-by-step explanation:

Answer:

<DFA

Step-by-step explanation:

When combined (<DFA and <DFE), they'll form 90 degrees which will make them complementary

Answer:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. If two angles are complementary then they will add up to be 90, or inversely, if two angles add up to be 90, then they are complementary. If you know one acute angle, you can calculate its complementary angle by subtracting 90 and the angle. When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

The complement of −135° is the angle that when added to −135° forms a right angle (90° ).

Step-by-step explanation:

The answer is 21.

Hope this helps. Have a nice day.