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mestny [16]
3 years ago
14

Which case is correctly matched with the principle it established?

Mathematics
1 answer:
sattari [20]3 years ago
4 0
The answer c thank me later guys have a great day
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find the measure of each angle acute angle in a right triangle where the measure of one acute angle is twice the difference of t
Marina86 [1]

Answer:

The measures of the acute angles are 38 and 52 degrees.

Step-by-step explanation:

In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles a and b.

a + b +90 = 180

The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:

a = 2(b-12)

Now we have two equations. If we simplify them, we get these:

\left \{ {{a=90-b} \atop {a=2b-24}} \right.

Now you can substitute a in the first equation for a in the second equation

90-b=2b-24

Add b to both sides of the equation

90 = 3b-24

Add 24 to both sides

114 = 3b

Divide both sides by 3

38 = b

Now, you can substitute 38 for b in the first equation and simplify.

a = 90-38

a=52

Therefore,

a=52, and b=38

Don't forget to like and make it the brainliest!

3 0
3 years ago
Read 2 more answers
Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the
nordsb [41]

Answer:

Greater than (>)

Step-by-step explanation:

Last week, Jason ran 26.1 miles.

He wants to run further this week.

<u>Distance Run this week</u>

  • 2.4 miles to the park,
  • Four times around the park= 4p (if distance around the park is p miles)
  • 2.4 miles back from the park.

Total Distance this week =2.4+4p+2.4

Since his distance this week is going to be greater than the total distance covered last week (26.1 miles), we then have:

Total Distance covered this week > Total Distance Last week

2.4+4p+2.4>26.1

Jason should use the greater than inequality sign.

4 0
3 years ago
Read 2 more answers
A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meter
Mandarinka [93]

Answer:1.32 s

Step-by-step explanation:

Given

The initial height of ball H=2 m

Initial velocity u=5 m/s

Height of ball at any instant is given by

H=-4.9t^2+5t+2

The ball will hit the ground when h=0

-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}

3 0
3 years ago
I need help with this its confusing me too much
Ann [662]
Answer:

Step-by-step explanation:

Join A and C and B and D. And add numbers to the angles formed on one of the diagonal
In triangles ABC and ADC,
Angle 1 = Angle 4
Angle 3 = Angle 2
AC = AC
Therefore, triangle ABC=ADC
Since, ABC=ADC
Similarly, triangle ABD= triangle CDB
Therefore, AB=CD and BC=DA
7 0
2 years ago
AHHHHHHHHHHHH I HATE THIS PLS HELP ME
Ainat [17]

Answer:

y = 2/3x - 13/3

Step-by-step explanation:

Implying the x and y coordinates, you get this.

3 0
3 years ago
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