THIS IS URGENT PLS!!!

Hi there!

The error in using the diagram to find x in the solving is that they only picked two angles and equated to 180° which is wrong. You'll find out that their final value for x contains a decimal point which should never be in angles.

The above diagram is a revolution (360°) or angle at a point, so all the angles have to be considered and equated to 360° and NOT 180°

Below is the corrected solving.

[tex]13x + 45 + 12x - 40 + 19x + 3 + 6x + 2 = 360[/tex]

(reason: angles at a point = 360°)

Collect like terms, and make x the subject of formula.

[tex]⟹50x + 10 = 360[/tex]

[tex]⟹50x = 360 - 10[/tex]

[tex]⟹50x = 350[/tex]

Now, divide both sides by 50 to find the value of x.

[tex] \frac{50x}{50} = \frac{350}{50} [/tex]

Therefore:

[tex]x = 7[/tex]

Yes, it is a right-angled triangle.

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Answer:

x=-3 y=-6

Step-by-step explanation:

solve for y on the first equation then plug the answer into the second

Answer:

The mass of 10mL of this liquid would be 25g.

Step-by-step explanation:

The formula for mass in relation to density and volume is:

mass=Density*volume

Knowing this, we could plug in the given volumes and solve:

m=Dv

m=(2.5g/mL)*(10mL)

m=25g

I hope this helps!

Answer:

[tex]1\frac{5}{9}[/tex]

Step-by-step explanation:

This is the answer because:

1)  Reduce the expression, if possible, by cancelling the common factors.

2) You can also find the reciprocal of 1 1/2 = 3/2 while dividing the expression:

1. Convert both fractions into improper fractions:

[tex]2\frac{1}{3} = \frac{7}{3}[/tex]

[tex]1\frac{1}{2} = \frac{3}{2}[/tex]

2. Divide both fractions:

[tex]\frac{7}{3}[/tex] ÷ [tex]\frac{3}{2}[/tex] = [tex]\frac{7}{3}[/tex] x [tex]\frac{2}{3}[/tex] = [tex]\frac{14}{9}[/tex] = [tex]1\frac{5}{9}[/tex]

Therefore, the answer is [tex]1\frac{5}{9}[/tex]

Hope this helps! :D

Answer:

4

Step-by-step explanation:

5-1=4

Answer:

B)

Step-by-step explanation:

Assuming the numbers following the variables are exponents, (ex: 8x2, x8), the only function that is linear would be option B. This is because linear functions do not have exponents following their variables. If graphed, t are a straight line.

Answer:

7%

Step-by-step explanation:

Step one:

given data

The original cost of Sam’s investment is $10,000

Sam calculated his real return to be $10,700

Required:

the interest made from the investment is

10700-10000= $700

Step two:

The ROI is a percentage that tells us the interest made

interest/investment*100

=700/10000*100

=0.07*100

= 7%

The ROI is 7%

Answer:

15

Step-by-step explanation:

Hypotenuse: 17ft long

Height: 8ft long

17^2 = 8^2 + b^2

b^2 = 17^2 - 8^2

b = √225

b = 15

Answer:

Dividing

Step-by-step explanation:

The minimum number of hours is 5/6 and the inequality is x ≥  5/6 hours.

An inequality is a relationship that compares two numbers and perhaps other mathematical expressions that are not equal. It is most commonly used to compare the sizes of two numbers on a number line.

Let x = the number of hours practicing the drums

we know that Julian needs to spend at least seven hours each week practicing

the drums x ≥ 7  hours

He has already practiced 5*(1/3) hours this week.

Convert mixed number to an improper fraction 5*(1/3)  = 16/3hours.

Subtract 16/3 from 7,

7 - (16/3)

= 5/3

Divide 5/3 by 2,

(5/3)/2

=5/6

Hence,

The inequality that represent the minimum number of hours he needs to practice on each of the two days is x ≥  5/6 hours.

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The given question is not complete.

Julian needs to spend at least seven hours each week practicing the drums. He has already practiced 5 1/3 hours this week. He wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours he needs to practice on each of the two days.

The augmented matrix for the system of equations is given as follows:

[tex]\left[\begin{array}{cccc}9&4&-2&0\\4&0&6&-2\\0&-3&2&2\end{array}\right][/tex]

A system of equations is when multiple variables are related, and equations are constructed to find the values of each variable. There are multiple ways to solve a system, and one of the most usual is in a matricial way, as the augmented matrix of the system is constructed.

In standard notation, the system is given by:

The augmented matrix for a system with variables x, y and z is constructed as follows:

Hence for this system, the matrix is given by:

[tex]\left[\begin{array}{cccc}9&4&-2&0\\4&0&6&-2\\0&-3&2&2\end{array}\right][/tex]

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Answer:

D

Step-by-step explanation:

If the percent change is 30 to 36 you can already see that it is an increase

here is the work

36 - 30

30

x 100% = 20%

Answer:

20% increase, which corresponds to the light

Step-by-step explanation:

(y - x)/x * 100

(36 - 30)/30 * 100

(6 * 100)/30

600/30

20% increase

Answer:

12 days

3 degrees

Step-by-step explanation:

Let y be the temperature of the cities after x days have passed.

Temperature of New York City

[tex]y=-3+\dfrac{1}{2}x[/tex]

In Juneau the temperature falls by 1 degree per 4 days. So, in 1 day the temperature falls be [tex]\dfrac{1}{4}[/tex] degree.

The minus sign is due to the fact that the temperature is falling

Temperature in Juneau Alaska

[tex]y=6-\dfrac{1}{4}x[/tex]

We need to find the value of x for which y will be equal

[tex]-3+\dfrac{1}{2}x=6-\dfrac{1}{4}x\\\Rightarrow \dfrac{1}{2}x+\dfrac{1}{4}x=6+3\\\Rightarrow \dfrac{3}{4}x=9\\\Rightarrow x=\\\Rightarrow x=9\times \dfrac{4}{3}\\\Rightarrow x=12\ \text{days}[/tex]

[tex]y=-3+\dfrac{1}{2}x=-3+\dfrac{1}{2}\times 12\\\Rightarrow y=3\ \text{degrees}[/tex]

Hence, in 12 days the temperature will be same in both the cities will be 3 degrees.

That's a Congruent Triangle question.

The first thing that we should to analize is it: What figure is EFGH? The question say for us that [tex]\overline{EF} \cong \overline{GH}[/tex] and [tex]\overline{EH} \cong \overline{GF}[/tex], therefore, EFGH is a parallelogram because its parallel sides are congruents (equals).

Now, we should to proof that [tex]\triangle EFH \cong \triangle GHF[/tex]. The simbol "≅" means congruence, that is, [tex]\triangle EFH \cong \triangle GHF[/tex] means that the triangles EFH and GHF are equals.

Let's proof:

[tex]\overline{HF}[/tex] is a diagonal of the parallelogram EFGH. When we have a diagonal in a parallelogram, the opposite angles are congruents (look at the picture: the blue angles are congruent and the red angles are congruents too). Therefore, [tex]E\hat{F}H \cong F\hat{H}G[/tex] and [tex]E\hat{H}F \cong H\hat{F}G[/tex].

Both triangle has a comum side: the diagonal [tex]\overline{HF}[/tex]. The diagonal [tex]\overline{HF}[/tex] is between two angles that we know that are congruents, Therefore, by the case ASA (Angle, Side, Angle), we proof that [tex]\triangle EFH \cong \triangle GHF[/tex].

Answer:

48

Step-by-step explanation:

The area is multiplying.

12 x 4 = 48

Hope It Helps

Sorry If I'm Wrong

Answer:

42,183

Step-by-step explanation:

We will use the Continuous Compounding Interest since a regular interval was not stated.

P(t) = Pe^(rt)

We will plug in the variables to the formula

P(t) = 31250 * e^(.12 * 2.5)

We can simplify and evaluate the compound interest.

P(t) = 42183.08

Answer: C. 3x^2 + 7x - 6

Step-by-step explanation:

3x^2 + 9x -2x -6

3x^2 + 7 - 6

Hope you got it.

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Answer:

The probability is 8/48

Step-by-step explanation:

There is a total of 48 marbles and 8 of them are blue.

1 pound = 16 ounces (general knowledge)

270 calories divided 5 ounces

1 ounce= 54 calories

2 pounds = 32 ounces

32 ounces × 54 calories = 1728

2 pounds = 1728 calories

Answer:

The amount is $25.4

Step-by-step explanation:

There are 109 students to attend the science workshop.

Number of erasers needed is 109, but whole packages of erases can be bought which consist 12 erasers. The total packages of erasers needed would be 10.

The cost of 10 packages of erasers = $0.75 x 10

                                  = $7.5

The cost of 109 folders = 109 x $0.10

                                  = $10.9

Number of pencils needed is 109, but whole packages of pencils can be bought which consist 8 pencils. The total packages of pencils needed would be 14.

The cost of 14 packages of pencils = $0.50 x 14

                                  = $7.0

Total cost = $7.5 + $10.9 + $7.0

                = $25.4

The amount that would be spent by the school is $25.4

Answer:

25.4

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer:

0.6, 3/5

Step-by-step explanation:

60%=

100% * 60/100=

1*60/100=

60/100=6/10=0.6

6/10=3/5

Answer:

First one

Step-by-step explanation:

Y=1/2x+4

Answer:

NOT a single ordered pair satisfies the equation.

Step-by-step explanation:

Given the equation

[tex]x^2+y^2=100[/tex]

Let us substitute all the given ordered pairs to find which ordered pair satisfies the equation.

For (0, -100)

[tex]x^2+y^2=100[/tex]

substitute x=0 and y=-100

[tex]0^2+\left(-100\right)^2=100[/tex]

[tex]10000=100[/tex]

FALSE

Thus, the ordered pair (0, -100) does NOT satisfy the equation.

For (10, -10)

[tex]x^2+y^2=100[/tex]

substitute x=10 and y=-10

[tex]10^2+\left(-10\right)^2=100[/tex]

[tex]200=100[/tex]

FALSE

Thus, the ordered pair (10, -10) does NOT satisfy the equation.

For (25, 75)

[tex]x^2+y^2=100[/tex]

substitute x=25 and y=75

[tex]25^2+\left(75\right)^2=100[/tex]

[tex]6250=100[/tex]

FALSE

Thus, the ordered pair (25, 75) does NOT satisfy the equation.

Therefore, NOT a single ordered pair satisfies the equation.

Answer:

[tex]\left|2x-6\right|<4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:1<x<5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(1,\:5\right)\end{bmatrix}[/tex]

Therefore, the 3rd graph represents the solutions to inequality.

Please also check the graph below.

Step-by-step explanation:

Given the expression

[tex]|2x\:-\:6|\:<\:4[/tex]

[tex]\mathrm{Apply\:absolute\:rule}:\quad \mathrm{If}\:|u|\:<\:a,\:a>0\:\mathrm{then}\:-a\:<\:u\:<\:a[/tex]

[tex]-4<2x-6<4[/tex]

[tex]2x-6>-4\quad \mathrm{and}\quad \:2x-6<4[/tex]

condition 1

[tex]2x-6>-4[/tex]

Add 6 to both sides

[tex]2x-6+6>-4+6[/tex]

[tex]2x>2[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}>\frac{2}{2}[/tex]

[tex]x>1[/tex]

condition 2

[tex]2x-6<4[/tex]

Add 6 to both sides

[tex]2x-6+6<4+6[/tex]

[tex]2x<10[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}<\frac{10}{2}[/tex]

[tex]x<5[/tex]

combine the intervals

[tex]x>1\quad \mathrm{and}\quad \:x<5[/tex]

Merging overlapping intervals

[tex]1<x<5[/tex]

Thus,

[tex]\left|2x-6\right|<4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:1<x<5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(1,\:5\right)\end{bmatrix}[/tex]

Therefore, the 3rd graph represents the solutions to inequality.

Please also check the graph below.

Answer:= x +27 Solve for x x = 326 = 8 32 ≈ 8.666666667

Answer:

8

Step-by-step explanation:

y=kx where k is a constant.

72=12k

k=72/12=6

y=6x

48=6x

x=48/6=8

Answer:

Step-by-step explanation:

3x + 4 = - 11

3x = - 11 - 4

3x = - 15

x = - 15/3

x = - 5

Answer:

x = -5

Step-by-step explanation:

3x + 4 = -11

Isolate 3x.

3x = -11 - 4

Evaluate.

3x = -15

Find x.

x = -15 ÷ 3

x = -5