If ∠BGC = 16x - 4 and ∠CGD = 2x + 13, find the value of x so that ∠BGD is a right angle.

Answers

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A 65.0 gram sample of some unknown metal at 100.0° C is added to 100.8 grams of water at 22.0° C. The temperature of the water rises to 27.0° C. If the specific heat capacity of liquid water is 4.18 J/ (°C × g), what is the specific heat of the metal?2.25 J/ (°C × g). 1.75 J/ (°C × g). 0.444 J/ (°C × g). 0.324 J/ (°C × g).

Trina and her mom are planting 45 plants in their garden.if their garden is 9 square feet how many plants can they put in each square foot

Answers

45÷9=5 they can put 5 plants in each square feet.

Answer:

They can put 5 plants in each square feet.

Step-by-step explanation:

45÷9 = 5

Which function below has the lowest y-intercept?f(x)

graph going through (0,5) and (4, 3)
g(x)

Kyle started the summer having read 3 books but plans to read 6 books per month over the summer.

h(x)

h(x) = 3x + 4

f(x)

g(x)

h(x)

The functions all have the same y-intercept.

Answers

If f(x) is given with points (0,5) and (4,3), it can be easily plotted in a coordinate system (see .jpeg image in attachment).
If g(x) is a function defined by text:
Kyle started the summer having read 3 books but plans to read 6 books per month over the summer.
Then, g(x) is given with:
g(x) = 6*x+3 (3 books read already, and 6 books will be read each month).
h(x) is already given with:
h(x)=3*x+4
These all three functions are plotted in coordinate system (see the .jpeg image), and it can be seen that the lowest y-intercept has function g(x), and it is the value of 3 on y-axis. Others have 4 (h(x)) and 5 (f(x)).
See the .jpeg image in attachment.

Here is your answer:

The lowest y-intercept has function g(x) with the value of three the others have four (h(x)) and five (f(x))which would mean that your answer is the second option "g(x)."

Hope this helps!

Alicia drove at a constant speed and traveled 182.4, point, 4 miles in 3 hours. How many miles would Alicia travel in 11 hours at the same speed?

Answers

668.8 miles.
If Alicia drove 182.4 miles in 3 hours, she was driving 60.8 miles/hour, multiply 60.8 by 11 and you get 668.8 miles in 11 hours.

she would have drove 469 miles in 7 hours

Given a polynomial f(x), if (x + 5) is a factor, what else must be true?f(0) = 5
f(0) = −5
f(5) = 0
f(−5) = 0

Answers

f(0) = - 5 represents the correct value for the polynomial f(x).

What is a polynomial?

Polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s). Example -

5x³ + 4x + 5

Given is a polynomial f(x) and (x + 5) as its factor.

If (x + 5) is the factor, then the graph of f(x) cuts [x] axis at x = - 5. So,

f(0) = - 5.

Therefore, f(0) = - 5 represents the correct value for the polynomial f(x).

To solve more questions on equation modelling, visit the link below-

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Rule: If x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

Using that rule, we can see that x+5 is really x-(-5) so k = -5.

Therefore,

p(k) = 0
p(-5) = 0

so the answer is choice D.

When I was 2 years old, my sister was half of my age. Now Im 80 years old, how old is my sister?

Answers

Half of 2 = 1 so 1 year apart . That means

80-1 = 79 years

if u were 2 years old n your sister was half your age then her age must be 1
so her present age is 80-1=79(since she was just one year smaller than u)

How many degrees of a full circle can you travel eastward or westward from the zero (prime) meridian before heading back toward that Prime Meridian?

Answers

Answer:

The Prime Meridian is a line of longitude designated as 0 degrees, and it runs through Greenwich, London. When traveling eastward or westward from the Prime Meridian, you can travel up to 180 degrees in either direction before heading back toward the Prime Meridian.

So, you can travel a maximum of 180 degrees eastward or 180 degrees westward from the Prime Meridian before changing direction and heading back toward it. Beyond 180 degrees, you would start approaching the Prime Meridian from the opposite direction.

Final answer:

You can travel 180 degrees eastward or westward from the prime meridian before you start heading back towards it. This is primarily due to the arrangement of longitude and the physical structure of the earth.

Explanation:

If you travel eastward or westward from the zero (prime) meridian, the maximum degree that one can travel in either direction, assuming from the zero meridian, prior to heading back is 180 degrees. This is primarily due to the spherical structure of the earth and the way longitude is arranged.

This is defined as the International Date Line and lies exactly opposite the Prime Meridian, creating a semi-circular line. The Prime Meridian, by international agreement, is set at 0° and runs through Greenwich, England. This serves as a starting point for the measurement of longitude.

As you travel in either direction, the degree of longitude increases until you hit the International Date Line at 180°. Beyond the 180° mark, the degree starts decreasing heading back towards the Prime Meridian. Geography and astronomy recognise and adhere to these conventions.

Learn more about Prime Meridian here:

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