Mr. rose takes $777.68 out of his bank account. The bank account has $10,364.45 left at the end of the day. How much money did Mr. rose bank account start with that day?

Given:

Consider the below figure attached with this question.

∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°

To find:

The measure of ∠EFH.

Solution:

From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,

[tex]\angle EFG=\angle EFH+\angle HFG[/tex]

[tex]18x+11=(5x+1)+(62)[/tex]

[tex]18x+11=5x+63[/tex]

Isolate variable terms.

[tex]18x-5x=63-11[/tex]

[tex]13x=52[/tex]

Divide both sides by 13.

[tex]x=\dfrac{52}{13}[/tex]

[tex]x=4[/tex]

The value of x is 4.

[tex]\angle EFH=(5x+1)^\circ[/tex]

[tex]\angle EFH=(5(4)+1)^\circ[/tex]

[tex]\angle EFH=(20+1)^\circ[/tex]

[tex]\angle EFH=21^\circ[/tex]

Therefore, the measure of ∠EFH is 21°.

Answer:

84 MB

Step-by-step explanation:

60% of 140 MB is:

Boris has downloaded 84 MB in 2 minutes

Answer:

DBH is an obtuse angle.

Step-by-step explanation:

D is around the 15 degree mark. h is around the 144 degree mark. Subtract 15 by 15 and 144 by 15 degrees, so that way angle D would be on the 0. You would get 129 degrees, which still makes it obtuse because is greater than 90 degrees

I hope this helps

Answer:

1.   The star's mass is 1.3 x 10^32 kg.

2.  The star's mass is 1.3 x 10^32 kg.

Step-by-step explanation:

1.

Divide numbers written in scientific notation by dividing the coefficients and then subtracting the exponents.

let The sun's mass is 2.0×10^30 kg.

and the coefficient = 1.5x10^-2

divide the coefficients

2.0 ÷ 1.5 =  1.3  

Then subtract the exponents.

= 10^30 - 10^-2

= 30 - (-2)

= 32

Combine the results of the two operations

= 1.3 and x 10^32

= 1.3 x 10^32

therefore,

The star's mass is 1.3 x 10^32 kg

===============================

2.

given:

The sun's mass is 2.0×10^30 kg.

mass of a star = sun's mass divided by 1.5×10^-2 kg

find:

Express the answer in Scientific notation.

mass of a star = 2.0×10^30 kg

                           1.5×10^-2 kg

mass of a star = 1.3 X 10^32 kg

therefore,

The star's mass is 1.3 x 10^32 kg

===============================

Answer:

1.   The star's mass is 1.3 x 10^32 kg.

2.  The star's mass is 1.3 x 10^32 kg.

Step-by-step explanation:

i got them right on my quiz

Answer:

A

Step-by-step explanation:

So we want to find the tangent of Angle QSR.

First, note that Angle QSR and Angle TSQ forms a supplementary angle. Thus:

[tex]QSR+TSQ=180[/tex]

We already know that TSQ is 150, thus:

[tex]QSR+150=180[/tex]

Subtract:

[tex]QSR=30[/tex]

So, QSR is 30 degrees.

Find tangent of 30 degrees.

[tex]\tan(30)[/tex]

1) If you know the unit circle:

At 30 degrees, our coordinate is:

[tex](\frac{\sqrt3}{2},\frac{1}{2}})[/tex]

So, our answer would be:

[tex]\tan(30)=\frac{\frac{1}{2}}{\frac{\sqrt3}{2}}[/tex]

Simplify:

[tex]\tan(30)=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

2) If you don't know the unit circle.

Recall that 30-60-90 is a special right triangle.

The side opposite to 30 is x, the side adjacent to 30 is x√3, and the hypotenuse is 2x.

Therefore, tangent of 30 is opposite over adjacent. Thus:

[tex]\tan(30)=opp/adj[/tex]

Substitute x for opposite and x√3 for adjacent. Thus:

[tex]\tan(30)=\frac{x}{x\sqrt3}[/tex]

Remove the x:

[tex]\tan(30)=\frac{1}{\sqrt3}[/tex]

Multiply both layers by √3. So:

[tex]\tan(30)=\frac{1}{\sqrt3}=\frac{\sqrt3}{3}[/tex]

Our answer is A :)

Answer:

C

Step-by-step explanation:

A and c are parallel

B and d are parallel

A and c are intersecting

Answer:

Answer is 10^11 is the smallest power that would exceed 999,999,999,991

Answer:

10 to the power of 13 or 10^13

Answer:

Its A.

Step-by-step explanation:

hope this helps.

The expression which is represented by the graph will be -6 -(-1) so the correct option will be (A).

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In given figure the, one box represents -1

Now there are total 6 box = -1 times 6 = -6

Now the last box is removed it means it should be subtracted from all the box

-6 - ( One box) = -6 -(-1) hence option A will be correct.

For more about the equation

brainly.com/question/10413253

#SPJ6

Answer:

_____________

The integer is 0

Answer:

675 calories

Step-by-step explanation:

I don't know about you but for me it's easier to multiply with decimals. I turned 2 1/4 to 2.25 and because n is right next to 300 we multiply (2.25 x 300) to get 675.

Hope that helps, and have a great day!

Answer:

25 mph

Step-by-step explanation:

Because you know mi/h means the miles PER hours, and we know that when we see the word "per" we're dealing with a rate. What we have to do here, is multiply 10(mph) is like the average, or limit. So if I'm running 2.5 miles I multiply 10 x 2.5 to get 25.

Or just move the decimal point one space because of the zero in 10.

Hope this helps, and have a great day!

If i run at an average speed of 10 mi/h, the time needed for me  to run 2.5 miles is, 0.25 hour

The distance covered by the object is equal to the product of the speed at which the object is moving and time taken for covering the distance.

Distance =  Time × Speed

Given that,

An average speed  = 10 mi/h,

If distance travelled = 2.5 miles

Time needed = ?

Time needed =  Distance/Speed

                       =  2.5 / 10

                       =  0.25

Hence, The time needed is 0.25 hour

To know more about time, distance & speed check:

brainly.com/question/10566304

#SPJ5

Answer: C) 2/3

========================================================

Explanation:

Let's cross multiply and then get everything to one side

x/(2x-1) = (2x+1)/(x+2)

x(x+2) = (2x-1)(2x+1)

x^2+2x = 4x^2-1

0 = 4x^2-1-x^2-2x

0 = 3x^2-2x-1

3x^2-2x-1 = 0 .... see note below

x^2-(2/3)x-1/3 = 0

In that last step, I divided everything by the leading coefficient 3. That way, the leading coefficient becomes 1.

It turns out that anything in the form x^2-px+q has roots m and n such that

p = m+n

q = m*n

In short, the roots add to the negative of the middle coefficient, and they also multiply to the constant term. Again this only applies to quadratics where the leading coefficient is 1.

Comparing x^2-(2/3)x-1/3 with the form x^2-px+q, we see that

p = 2/3

q = -1/3

Therefore, p = m+n = 2/3

If you're curious why this works, it's because (x+a)(x+b) expands out to x^2+(a+b)x+ab, and note how the roots here are x = -a and x = -b.

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

Note: Another route would be to solve 3x^2-2x-1 = 0 for x using any method you prefer (I recommend the quadratic formula). You would get the two solutions x = -1/3 and x = 1. They add to (-1/3)+1 = (-1/3) + (3/3) = (-1+3)/3 = 2/3.

[tex]2^{-3}[/tex] is the same as [tex]\frac{1}{2^3}[/tex] because of the rule [tex]x^{-k} = \frac{1}{x^k}[/tex]

The negative exponent says to take the reciprocal of the base to make the exponent positive. The original base is 2, of which the reciprocal is 1/2.

Answer:

A' would be at (0,-4)

B' would be at (-2,1)

C' would be at (-2,-3)

Step-by-step explanation:

A' would be at (0,-4)

B' would be at (-2,1)

C' would be at (-2,-3)

Answer:

C  4,3  A 2,-5   B 1,4

Step-by-step explanation:

Answer:

g-1(4)=-5

Step-by-step explanation:

because inverse mean that you will switch every x and y on the original graph

for example; point( 4,-2) inverse will be (-2,4)

so to find x=4 on the inverse than just find y=4 on the origin graph

Answer:

n+8

Step-by-step explanation:

8n=8(n)

n-8=n-8 (Since there is no commutative property in subtraction)

n=8 means 8=n

n+8=8+n

Because of commutative property in addition.

Hope this helps ;) ❤❤❤

Answer:

D

Step-by-step explanation:

The remaining material can be calculated as

volume of larger cube - volume of smaller cube

= a³ - b³ ← difference of cubes which factors in general as

= (a - b)(a² + ab + b²) → D

Answer:

(A) y - x

Step-by-step explanation:

Finding a:

Correct choice is (A)

Answer:

C. Point P

Step-by-step explanation:

sqrt(92) = 9.59

The point closest to 9.59 is point P.

Answer:

Hey there!

If the midpoint is (-5, 18) and the endpoint is (3, 13) the other endpoint is (-13, 23)

Let me know if this helps :)

Answer:

  RS = 16

Step-by-step explanation:

The segment addition theorem tells you ...

  QR +RS = QS

  4 + (5x-9) = 4x

  x = 5 . . . . . . . . . . . add 5-4x

Then the length of RS is ...

  RS = 5(5) -9

  RS = 16

Answer:

b = 5/4  ( or  = 1.25)

Step-by-step explanation:

2b + (1/2) =3    (subtract 1/2 from each side

2b = 3 - (1/2)

2b = 2 1/2   (express 2 1/2 as an improper fraction = 5/2)

2b = 5/2     (divide both sdes by 2)

b = (5/2) / 2

b = 5/4

Answer:

33

Step-by-step explanation:

Start off by subtracting how much she needs, with how much she has. 225 - 18.75 = 206.25. Then you divide by how much she makes an hour, 6.25. Dividing 206.25 by 6.25 will give you 33.

Answer:

33

Step-by-step explanation:

Answer:

9 - b = ? 9 - 8 = 1 So, your answer is 1.

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

3x+2=17

17-2=3x

15=3x

3*5=14

15=15

x=15

Answer:

64 miles

Step-by-step explanation:

If he used 20% of the gas, he can go 20% of the miles

20% of 320 miles

.20 * 320

64 miles

Answer:

[tex]\huge\boxed{\sf 64\ miles}[/tex]

Step-by-step explanation:

A total tank travels to 320 miles

Let the miles be x

He used 20% of the full tank

=> 20% of the full tank = x

=> [tex]\frac{20}{100} * 320 = x[/tex]

=> 2 * 32 = x

=> x = 64 miles

So, He traveled 64 miles in 20% of the tank.