23x+67= 90
solve
free

Answer and Step-by-step explanation:

The interior angles of a triangle a add up to 180. We can find x by subtracting everything from 180, and then divide for x.

180 = x + 4 + 68 + x

Simplify.

180 = 2x + 72

Subtract 72 from both sides of the equation.

108 = 2x

Divide each side by 2.

x = 54

The angles of the triangle are:

Angle S = 54

Angle U = 58

Angle T = 68

#teamtrees #PAW (Plant And Water)

Answer:

y = -2 and x = 5

Step-by-step explanation:

2x + 3y = 4

-2x - y = -8

Since this is a system of equations, we can either substitute or subtract. I will be subtracting.

2x + 3y - 2x - y = 4 - 8

2y = -4

y = -2

Now that we have y, we will plug it in for the first equation and solve.

2x + 3(-2) = 4

2x - 6 = 4

    + 6  + 6

2x = 10

x = 5

Answer:

3

Step-by-step explanation:

A common difference is found in arithmetic sequences. The simplified formula for arithmetic sequences, which is what is used here, is [tex]a_{n}=dn-a_{0}[/tex]. Where d is the common difference and [tex]a_{0}[/tex] is the zeroth term. So, in the given equation 3 must be the common difference.

Answer:

41

Step-by-step explanation:

The question is incomplete. The complete question is :

Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours  of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.

Which study appears to look for an association between two variables without actively manipulating either one. What are those variables ?

Solution :

The second study in the context is involved in asking for a random sample of the students at an university to provide a report the average hours of sleep that everybody get each night and also the grade point of their college appears for association between these two variables without actively changing either of one.

These variables are the grade point average of the students and the numbers of hours of sleep.

Answer:

YZ = 6.93

Step-by-step explanation:

Find the complete question attached

From the diagram, we are to look for YZ

Given the following

XY = adjacent = 6

measure of m<Y = 30degrees

Required

YZ = hypotenuse

Using the SOH CAH TOA identity

Cos theta = adjacent/hypotenuse

Cos 30 = XY/YZ

Cos 30 = 6/x

x = 6/cos30

x = 6/0.8660

x = 6.93

Hence the length of YZ is 6.93

Answer:

B= 21.195

Step-by-step explanation:

Inner circle area = 3.14×1.5×1.5=7.065

Outer circle area = 3.14× 3×3 = 28.26

3 is the radius of the outer circle

Area of the shaded portion is = area of outer circle - area of inner circle

28.26-7.065=21.195

Answer B= 21.195

Answer:

20oz

Step-by-step explanation:

60%=12oz

this can be simplified into 1%

in order to find 1% divide by 60

60%/60=1%

in order to find out how much 1% is, divide 12oz by the number used to divide the percent

12/60=0.2

so 0.2=1% and we want to know 100% so multiply by 100

0.2x100=20

1%x100=100%

so 20oz=100% of the bottle

Answer:

-3 and -2

Step-by-step explanation:

7x² + 19x + 21 = 4x² + 4x + 3

combine like terms:

3x² + 15x + 18 = 0

3(x² + 5x + 6) = 0

(x + 3)(x + 2) = 0

x = -3

x = -2

Answer:

It should equal 180 i think correct me if im wrong

Answer/Step-by-step explanation:

1. x*21 = 24*14 (intersecting chords theorem)

21x = 336

x = 336/21

x = 16

2. 27*x = 45² (secant-tangent rule)

27x = 2,025

x = 2,025/27

x = 75

3. (x + 5)*5 = (4 + 6)*6 (Intersecting secants theorem)

5x + 25 = (10)*6

5x + 25 = 60

5x = 60 - 25

5x = 35

x = 35/5

x = 7

4. (4x + 2)*8 = (5x + 1)*7

32x + 16 = 35x + 7

Collect like terms

32x - 35x = -16 + 7

-3x = -9

x = -9/-3

x = 3

Answer:

B (-3, -1/2)

Step-by-step explanation:

2 and -3 are 5 units apart which means that the middle is 2 1/2 from either point. This point is (-3, -1/2)

Have a great day!

Answer:

Monthly installments = £250

Step-by-step explanation:

Given

Total cost of holiday = £2400

Ratio deposit : total of the monthly payments=3:5

Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]

Total amount of the monthly payments = 2400 -900 = 1500

She pays six equal installments.

Amount of installments = 1500/6 = 250

Monthly installments = £250

Using proportions, it is found that her monthly payments are of £250.

According to the ratio, we have that:

[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]

Applying cross multiplication:

[tex]5x = 3(2400 - x)[/tex]

[tex]8x = 7200[/tex]

[tex]x = \frac{7200}{8}[/tex]

[tex]x = 900[/tex]

Hence, the monthly payments add to £1500.

She makes 6 equal monthly payments, hence:

[tex]p = \frac{1500}{6} = 250[/tex]

Her monthly payments are of £250.

A similar problem is given at https://brainly.com/question/24372153

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

201.06

Step-by-step explanation:

Answer:

no, yes, yes , no, yes

Step-by-step explanation:

Answer:the third one (c)

Step-by-step explanation:

Answer:

64 times larger

Step-by-step explanation:

8^3=512

2^3=8

512/8=64

slope: -1/4

y-int: -1

y=(-1/4)x-1

Answer:

ill help you whats the question

Step-by-step explanation:

Answer:

what do we answer I see nothing

Step-by-step explanation:

??

Answer:

Circumference = 62.8

Step-by-step explanation:

The equation for discovering a circle's circumference is simple:

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

C = 2πr

C is the circumference (how long is the circle around)

R is the radius (half of the width of the circle)

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

So, instead of giving us the radius, they gave us the diameter. (the full width of the circle) So, we divide that by 2 to get the radius.

20/2=10

Now, time to fill in the equation.

C = 2π10

C = 20π

C = 62.8

*They told us to use 3.14 for pi.

Answer:

Step-by-step explanation:

Danny's speed is given:

Andrew's speed is found from the table.

Since its the direct relationship, we find it using one pair of values:

Danny is faster as 15 mph > 14.5 mph

Speed =Distance/Time

Here speed is equal to slope of box

Danny is faster as his one is 15mph

Answer:

Marta spent a total of $34.29

Step-by-step explanation:

Since she bought 3 towels for $8.50 each you would do 3 times $8.50 to get $25.50 for the towels and since she bought 5 washcloths for $1.25 each you would do 5 times $1.25 to get $6.25 then you would add the totals to get $31.75. Then you would find out the tax by finding out what 8% of $31.75 is which would be 2.54. So you would add $2.54 to $31.75 to get $34.29. So the total amount of money that Marta spent is $34.29

3 times $8.50 = $25.50

5 times $1.25 = $6.25

$25.50 + $6.25 = $31.75