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Alex777 [14]
2 years ago
5

Simplify the expressions and find the value:

Mathematics
1 answer:
Dahasolnce [82]2 years ago
3 0

Answer:

x(x−3)+2=x.x−3x+2 \\ =x2−3x+2 \\F or x=1 \\ putting \:  x=1  \: in  \: expression \\ x2−3x+2=(1)2−3(1)+2 \\ =1−3+2 \\ =3−3 \\ =0

Solve  \: 3y(2y−7)−3(y−4)−63 for y=−2 \\ First \:  simplify \:  it, \\ =6y2−21y−3y+12−63 \\ =6y2−24y−51 \\ Put \:  y=−2 \: =6(−2)2−24(−2)−51  \\  =6×4+48−51 \: 6×4+48−51 \\  24+48−51 \\ =21

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In a triangle find the Remote exterior angle given the remote interior angles are 27 and 53
Varvara68 [4.7K]

Answer:We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,

x + y + z = 180

We know this is true, because the sum of the angles inside a triangle is always 180 degrees. What is w? We don't know yet. But, we may observe that the measure of angle w plus the measure of angle z = 180 degrees, because they are a pair of supplementary angles. Notice how Z and W together make a straight line? That's 180 degrees. So, we can make a new equation:

w + z = 180

Then, if we combine the two equations above, we can determine that the measure of angle w = x + y. Here's how to do that:

x + y + z = 180 (this is the first equation)

w + z = 180 (this is the second equation)

Now, rewrite the second equation as z = 180 - w and substitute that for z in the first equation:

x + y + (180 - w) = 180

x + y - w = 0

x + y = w

Interesting. This tells us that the measure of the exterior angle equals the total of the other two interior angles. In fact, there is a theorem called the Exterior Angle Theorem which further explores this relationship:

Exterior Angle Theorem

The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.

Let's try two example problems.

Example A:

If the measure of the exterior angle is (3x - 10) degrees, and the measure of the two remote interior angles are 25 degrees and (x + 15) degrees, find x.

First example of finding an exterior angle

To solve, we use the fact that W = X + Y. Note that here I'm referring to the angles W, X, and Y as shown in the first image of this lesson. Their names are not important. What is important is that an exterior angle equals the sum of the remote interior angles.

6 0
3 years ago
13. A high school has 1600 students. In a random sample of 50 students, 15
Orlov [11]

Answer:

480

Step-by-step explanation:

In 50 student's play station is owned by       =15 student's

∴ In 1 student play station is owned by         =15÷50 student

∴In 1600 student's play station is owned by =(1600×15)÷50 student's

                                                                         =480 student's

∴The number of the student at the high school who

own a Play station is 480

                                     (Ans)

3 0
3 years ago
Which line is a linear model for the data?
Lisa [10]
The first one
this is random stuff to fill up the 20 character minimum 
3 0
3 years ago
Read 2 more answers
Moonshine Problem: How many gallons of 20% moonshine and how many gallons of 30% moonshine have to be mixed together to make 100
Sindrei [870]

Answer:

50 gallons 20%

50 gallons 30%

Step-by-step explanation:

If x is gallons of 20% moonshine, and y is gallons of 30% moonshine, then:

x + y = 100

0.20x + 0.30y = 0.25(100)

Solve the system of equations using substitution or elimination.  Using substitution:

0.20x + 0.30(100 − x) = 0.25(100)

0.20x + 30 − 0.30x = 25

5 = 0.10x

x = 50

y = 50

3 0
3 years ago
What is the area for this triangle
Llana [10]

Answer:

56

Step-by-step explanation:

I'm not 100% sure, use my answer at your own risk

4 0
3 years ago
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