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katen-ka-za [31]
3 years ago
9

Help on geometry !!!( pic ) Solve for X:

Mathematics
1 answer:
SVEN [57.7K]3 years ago
4 0

Answer:

x = 4

Step-by-step explanation:

These are vertical angles. This means that the angle measurements of both are equal to each other. Set the angles equal to each other:

3x + 20 = 2x + 24

Note that you are solving for the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 2x and 20 from both sides:

3x (-2x) + 20 (-20) = 2x (-2x) + 24 (-20)

3x - 2x = 24 - 20

Simplify. Combine like terms:

3x - 2x = 24 - 20

x = 24 - 20

x = 4

x = 4 is your answer.

~

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It rained for approximately 10.09 hours.
6 2/3 divided by 2/3 = 10.09
3 0
3 years ago
It took Leo 3 hours to type a 4125-word essay. Sarah typed her 3800-word essay in 3 hours and 10 minutes. At these rates, how mu
scoray [572]

Answer:

Sarah would take 35 minutes longer than Leo to type 5500 word essay

Step-by-step explanation:

Let us solve the question

∵ It took Leo 3 hours to type a 4125-word essay

→ The rate is the number of words divided by the time

∴ Leo's rate = 4125 ÷ 3 = 1375 words/hour

∵ Sarah typed her 3800-word essay in 3 hours and 10 minutes

→ Change the 10 min to the hour by divide it by 60

∵ 3 hours 10 min = 3 + \frac{10}{60} = 3 + \frac{1}{6}  = 3\frac{1}{6} hours

∴ Sarah's rate = 3800 ÷ 3\frac{1}{6}  = 1200 words/hour

∵ Leo will type a 5500-word essay

→ Divide it by his rate to find the time taken

∴ Leo takes = 5500 ÷ 1375 = 4 hours

∵ Sarah will type a 5500-word essay

→ Divide it by her rate to find the time taken

∴ Sarah takes = 5500 ÷ 1200 = 4\frac{7}{12} hours

→ Find the difference between their times

∵ The difference = 4\frac{7}{12} - 4 = \frac{7}{12} hour

→ Multiply it by 60 to change to minutes

∴ The difference = \frac{7}{12} × 60 = 35 minutes

∴ Sarah would take 35 minutes longer than Leo to type 5500 word essay

3 0
2 years ago
If parallelogram abcd was reflected over the y-axis, reflected over the x-axis, and rotated 180 degrees, where would point a' li
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7 0
3 years ago
An army base in the desert is located at the origin, O of an x-y coordinate system. A soldier at point P needs to determine his
Nutka1998 [239]

Answer/step-by-step explanation

The soldier at point P lie on a parabola because he determined his position and distances from towns A and B through measurement of the difference in timing (phase) of radio signals received from the two towns.

This analysis of the signal time difference gives the difference in distance of the soldier at P, from the towns.

This process is known as hyperbolic navigation.

These distances of point P from towns A and B is estimated by the soldier at point P, by measuring the delay localizes the receiver to a hyperbolic line on a chart.

Two hyperbolic lines will be drawn by taking timing measurements from the

towns A and B .

Point P will be at the intersection of the lines.

These distances of point P(The soldier's positions) from town A and town B were determined using the timing of the signals received from the two towns, due to the fact that point P was on a certain hyperbola.

8 0
3 years ago
Explain why please and make sure it is in full detail
Marysya12 [62]

Step-by-step explanation:

well,

(y - 7)² = (y - 7)(y - 7)

remember how to multiply 2 expressions ?

you have to multiply every term of one expression with every term of the other expression and sum the results all up (incl. considering their individual signs, of course).

so, when we do the multiplication, we get

(y - 7)(y - 7) = y×y - 7×y - 7×y + (-7)×(-7) =

= y² - 14y + 49

and that is clearly different to y² - 49

FYI

y² - 49 is the result of

(y - 7)(y + 7)

because

y×y + 7×y - 7×y + (-7)(7) = y² - 49

8 0
2 years ago
Read 2 more answers
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