Find the x of a triangle.

Answer:

the function for y=-4x+3

= soln,

y=mx+b"

Hello,

[tex]Data:\\\\\begin{array}{|c|c|c|c|c|}Year&French&Spanish&German&Total\\----&----&----&----&---\\Y10&-&-&-&54\\Y11&15&20&-&-\\----&----&----&----&---\\&-&29&31&100\\\end{array}\\\\Calculus:\\\\\begin{array}{|c|c|c|c|c|}Year&French&Spanish&German&Total\\----&----&----&----&---\\Y10&25&9&20&54\\Y11&15&20&11&46\\----&----&----&----&---\\&40&29&31&100\\\end{array}\\\\[/tex]

20 Year10's students learn German.

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

Explanation:

Make a table that has "Year 10", "Year 11", and "Total" as the three rows.

Then you'll have the columns "French", "Spanish", "German", "Total".

In the bottom right corner is the value 100. This is the grand total of everyone surveyed.

We're told that 54 people are in Year 10, which leaves 100-54 = 46 people in Year 11.

Along the "total" column on the far right side, we'll have 54, 46, and 100 in that order from top to bottom.

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

The info that "20 of the 29 people who study Spanish in Year 11" tells we have 20 people in year 11 who study Spanish, out of 29 people who study Spanish. That leaves 29-20 = 9 people in Year 10 who study Spanish. In the "Spanish" column, we have the values 9,20,29 in that exact order from top to bottom.

Next, we'll write 31 at the bottom of the "German" column to indicate 31 people study German.

The last bit of info is that "15 Year 11 students study French". So we'll write 15 in the "year 11" row and "french" column.

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

After all that info is sorted out and entered into the table, you should end up with what is shown in figure 1 (see attached image below). Ignore figure 2 for now as we'll work our way to getting there eventually.

The variables a,b,c,d are placeholders for positive whole numbers.  

There are probably a few approaches to take, but possibly the quickest is to notice that in the second row, we can say

15+20+c = 46

c+35 = 46

c = 46-35

c = 11

We have 11 students who study German in Year 11.

Once you determine c, it helps us find b. Focus on the German column to see that

b+11 = 31

b = 31-11

b = 20

There are 20 students in Year 10 who study German. You could stop here if you want.

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

Just two more variables to go.

Along the top row, we see that

a+9+20 = 54

a+29 = 54

a = 54-29

a = 25

and along the bottom row we see that

d+29+31 = 100

d+60 = 100

d = 100-60

d = 40

Or you could note along this first column to say

a+15 = d

d = a+15

d = 25+15

d = 40

So there are a few alternative paths to take.

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

All of the sections mentioned so far only involve filling out the table that is shown below in figure 2.

To answer the question your teacher wants to ask, which is how many Year 10 students study German, well that's simply 20 students. Refer to the conclusion of the previous two sections earlier.

By this point, we just simply copy the value from the completed table. This value being of course in the "Year 10" row and "German" column.

Answer:

The slope is 0 the line is constant.

Step-by-step explanation:

.

The slope of side LN is 0.

In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal.

Now, in the given isosceles triangle LMN,

Coordinates of vertices are,

L(x₁,y₁)  =  (0, 1),

M(x₂,y₂) = (3, 5), and

N(x₃,y₃) = (6,1)

The slope of side LN ,

Slope = (y₃ - y₁)/(x₃ - x₁)

⇒ Slope = (1-1)/(6-0)

⇒ Slope = 0

means " LN is a horizontal line".

Thus, the slope of side LN is 0.

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Answer:

[tex]p=11.2[/tex]

Step-by-step explanation:

Given [tex]2.6(5.5p-12.4)=127.92[/tex], distribute to remove the parentheses:

[tex]2.6\cdot 5.5p-2.6\cdot 12.4=127.92[/tex]

Simplify:

[tex]14.3p-32.24=127.92[/tex]

Add 32.24 to both sides:

[tex]14.3p=160.16[/tex]

Divide both sides by 14.3:

[tex]p=\frac{160.16}{14.3}=\boxed{11.2}[/tex]

Answer:

x=2 is the answer

Step-by-step explanation:

Answer: 9 full journeys

Step-by-step explanation:

4.5 litres * 1.3 gallons = 5.8 litres of petrol

52 litres ÷ 5.8 litres of petrol = 8.9 journeys ≈ 9 full journeys

hello babyyy hpi how you

Answer:  A) -0.5

Explanation:

Each tickmark is an increment of 30. Start at 270 and move 1 tickmark over to get to 270+30 = 300. Then another tickmark to the right gets us to 330.

Then from here, head straight down until you get to the curve. You should arrive at the point (330, -0.5)

So q = 330 pairs up with y = -0.5

Answer:

m<6=90

Step-by-step explanation:

the answer is 90 or D

Answer:

90

Step-by-step explanation:

If 1 = 140, then 2 = 40. 180-140=40

If 2 = 40 and 3 = 50, then 6 = 90. 180 - 40 - 50 = 90

Linear angles = 180

Triangle Sum Theorem = Sum of all angles in a triangle = 180

Answer:

D) 1:1

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The diagram is right angle triangle so we can use SOHCAHTOA

So in the diagram we have 62 degree opposite to x and the hypotenuse

Step 1

Sin62=x/16

Step 2

X=16sin62 by cross multiplication

Step 3

X=14.13

X=14

Answer:

D

Step-by-step explanation:

The answer is D because if you flip those circles down and wrap the rectangle around it will create a cylinder

Answer:

hi, it's 16 because:

[tex]ab = bc \\ ab = 8 \\ ac = 2 \times 8 = 16 \\ ac = 16[/tex]

Answer:

16

Step-by-step explanation:

Theorem: In a circle, if a radius is perpendicular to a chord, then the radius is the perpendicular bisector of the chord.

In this case, the radius containing points O and B is perpendicular to chord AC, so the radius bisects chord AC making AB = BC.

Also,

AB + BC = AC

By substitution, we have

AB + AB = AC

AC = 2AB

AC = 2(8)

AC = 16

Answer:

D) 74

Step-by-step explanation:

1c = 6p

1c = 1.5f

1f = 296

6/1.5 = 4

296/4 = 74

Answer:

m=18/3

Step-by-step explanation:

m=-7-11/-6-(-1)

The rate is 4% per year.

It is required to find the rate of interest.

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

Given that:

Let, principal is P,

so, interest is P/5 in 5 yrs.

As from the formula of simple interest,

So, P/5 = P× R ×5/ 100 (R = rate)Or, R = 4%

So, rate is 4% per year.

Learn more about simple interest here:

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The missing option is e. 4%

Given:

The equation is:

[tex]3-2|0.5x+1.5|=2[/tex]

One solution of this equation is -2.

To find:

The another solution of the given equation.

Solution:

We have,

[tex]3-2|0.5x+1.5|=2[/tex]

It can be written as:

[tex]-2|0.5x+1.5|=2-3[/tex]

[tex]-2|0.5x+1.5|=-1[/tex]

Divide both sides by -2.

[tex]|0.5x+1.5|=0.5[/tex]

After removing the modulus, we get

[tex]0.5x+1.5=\pm 0.5[/tex]

Case I:

[tex]0.5x+1.5=0.5[/tex]

[tex]0.5x=0.5-1.5[/tex]

[tex]0.5x=-1[/tex]

Divide both sides by 0.5.

[tex]x=-2[/tex]

Case II:

[tex]0.5x+1.5=-0.5[/tex]

[tex]0.5x=-0.5-1.5[/tex]

[tex]0.5x=-2[/tex]

Divide both sides by 0.5.

[tex]x=-4[/tex]

One solution of the given equation is [tex]x=-2[/tex] and the another one is [tex]x=-4[/tex].

Therefore, the correct option is B.

Answer:

points srru

Step-by-step explanation:

Answer:

Step-by-step explanation:

PQ=√((x-5)²+(-2-2)²)=√((x-5)²+16)=5

squaring

(x-5)²+16=25

(x-5)²=25-16=9

x-5=±3

x=-3+5,3+5

or x=2,8

Answer:

No

Step-by-step explanation:

Because 1 don't equal to 16

Answer:

no

Step-by-step explanation:

* means multiply

(2,1)

x = 2

y = 1

just plug in the numbers

1 = 8*2 ?

1 = 16? no

Answer:

2y - 3x

Step-by-step explanation:

Given

(2y² - 3xy) ÷ y

Divide each term on the numerator by y , that is

[tex]\frac{2y^2}{y}[/tex] - [tex]\frac{3xy}{y}[/tex] ( cancel y on numerator/ denominator of both fractions )

= 2y - 3x

Answer:

C

Step-by-step explanation:

In order to prove congruency using SSS, we need to prove that all three pairs of sides are congruent.

We are already given that EF ≅ HI and that FG ≅ IJ.

Therefore, the last bit of information we need to prove congruency using SSS is that EG ≅ HJ.

Hence, our answer is C.

Answer:

8x +120= 400

Step-by-step explanation:

Let the number of hours Max worked over the summer be x.

Assuming that he had $0 in his bank at the start of summer,

Total savings= 8(number of hours) +120

400= 8x +120

8x +120= 400

To find the value of x, first bring all the constants to one side of the equation.

8x= 400 -120

Simplify:

8x= 280

Divide both sides by 8:

x= 280 ÷8

x= 35

∴ Max worked for 35 hours over the summer.

Answer:

∆ PQR is congruent to ∆ STU

This means --

P = S

Q = T

R = U

R = 80°

S = P = 70°

So in ∆PQR, we know R = 80° , P = 70° and Q = ?

Using angle sum property of triangle,

P+ Q + R = 180°

70° + 80° + Q = 180°

150° + Q = 180°

Q = 30°

Hope This Helps :D

Answer: conducting quantitative research

Step-by-step explanation:

Quantitative research refers to the collection and the analysis of numerical data. Quantitative research can be used in making predictions, and testing casual relationships.

Quantitative research methods emphasize the numerical analysis of data which can be collected through questionnaires, polls, surveys etc.

Answer:

f(-3.2) = -7.2

Step-by-step explanation:

Here, we want to calculate f(-3.2)

What we have to do here is to substitute-3.2 for x in the equation for f(x)

Mathematically, we have this as;

f(-3.2) = -3.2-4 = -7.2

Answer:

x ≈ 15.66

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )

x × sin50° = 12 ( divide both sides by sin50° )

x = [tex]\frac{12}{sin50}[/tex] ≈ 15.66 ( to the nearest hundredth )