HELP

GIven:

QRS is an isosceles triangle

If M is midpoint of RQ, then triangle SMQ is congruent to triangle SRM

True or false

Answer:

Step-by-step explanation:

if ABC is a triangle then <]ABC + <}BCA +<}CAB = 180 degrees

Poof:

Draw line a through points A and B. Draw line B through point C and parallel to line a

Since line a and b are parallel <] BAC = <] B'CA and <]ABC = <}BCA'.

it is obvious that <}B'CA + <}ACB + <]BCA' = 180 degrees

Thus <]ABC + <)BCA + <)CAB = 180 degrees

Lemma:

if ABCD is quadrilateral and <)CAB = <}DCA then AB and DC are parallel.

Step-by-step explanation:

Consider a triangle ABC and let ∠A + ∠B + ∠C = 180°

Construct a straight line DE running parallel to BC and passing though A.

Now let

∠BAC = 1

∠ABC = 2

∠ACB = 3

∠DAB = 4

∠EAC = 5

Therefore we know that

∠DAB = ∠ABC (alternate angles), so 4 = 2

∠EAC = ∠ACB (alternate angles), so 5 = 3

Now line CE is straight line and we know that angle for a straight line 180°.

Thus ∠DAB + ∠BAC + ∠EAC  = 180°

or      ∠ABC + ∠BAC + ∠ACB =  180°

or          ∠A + ∠B + ∠C = 180°

Thus proved.

Answer:

120 pounds

-hope this helps

Answer:

£111.43

Step-by-step explanation:

100% represents the original cost of the phone

30% off is then (100 - 30) = 70% of the original cost

divide the cost by 70 to find 1% then multiply by 100 for original cost

original cost = [tex]\frac{78}{70}[/tex] × 100 = £111.43

tan(angle) = opposite/adjacent

tan(37) = x/14

14*tan(37) = x

x = 14*tan(37)

x = 10.5497567

x = 10.5

Answer: 10.5

Answer:

-4

Step-by-step explanation:

If the question is for which x the equations 4(3x+9) and 5x+8 produce the same answer, the answer is x=-4

4(3x+9) = 5x+8

12x + 36 - 5x - 8 =0

7x = -28

x = -4

Answer:

A) 210

Step-by-step explanation:

The percentage of students who have a cell phone plan with company x is student with plan x over total.The total is 130

P(x) = 70/130

The number of students with cell phone  company x is  found by multiplying the total number of students times   the percentage of students with company x

Students with company x = total * P(x)

                                          = 390 * 70/130

                                             = 210

Answer:

A) 210

Step-by-step explanation:

70 students have company X, out of the sample size 130. This forms the fraction 70/130.

n students have company X, out of the population 390. The n is simply a placeholder for a number. This forms the fraction n/390

Equate the two fractions, cross multiply, then divide both sides by 130 to solve for n

Doing all that gives us the following

70/130 = n/390

70*390 = 130*n ..... cross multiply

27300 = 130n

130n = 27300

130n/130 = 27300/130 ...... divide both sides by 130

n = 210

Out of the entire population, the best approximation to the number of students who have company X is 210 people.

Answer:

[tex]x+y=12[/tex]

[tex]21.50x+14.75y=204[/tex]

Step-by-step explanation:

Let x be the number of adult tickets and y be the number of children's tickets.

We are given that there are total 12 people. Therefore, we can set:

[tex]x+y=12[/tex]

Moreover, we are given that an adult ticket costs $21.50 and a child's ticket costs $14.75, therefore, cost of x adult tickets will be [tex]21.50x[/tex] and cost of y children's ticket will be [tex]14.75y[/tex]. We can form the second equation by setting the total cost of tickets as:

[tex]21.50x+14.75y=204[/tex]

Therefore, the required system of equations that could be used to find x and y will be:

[tex]x+y=12[/tex]

[tex]21.50x+14.75y=204[/tex]

Answer:

[tex]x+y = 12[/tex]

[tex]21.50x+14.75y=204.00[/tex]

Step-by-step explanation:

Given :

A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket.

Group of 12 people paid $204.00 for tickets.

To Find : System of equations could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased.

Solution :

Since group contains 12 people so no. of tickets are 12 .

Let out of 12 people no. of adults's tickets  are x.

Let out of 12 people no. of children's ticket are y .

⇒[tex]x+y = 12[/tex]

Since charge of one adult ticket = $21.50

So, charge of x adult tickets = $21.50 x

Since charge of one child ticket = $14.75

So, charge of y children tickets =$14.75 y

And we are given that total amount paid by these 12 people = $204.00

Thus [tex]21.50x+14.75y=204.00[/tex]

Hence , System of equations could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased:

[tex]x+y = 12[/tex]

[tex]21.50x+14.75y=204.00[/tex]

Answer:

-3

Step-by-step explanation:

Anything that is negative multiplied by a negative is a positive so knowing this, you can multiply -3*-3=9 or divide 9/-3=-3

Hope this helps

<> Anna <>

Answer:

The answer to linear equation 9t=-3 is t = - (1/3)

Step-by-step explanation:

9t=-3

Solving for t: Dividing both sides of the equation by 9:

9t/9=-3/9

t=-(3/9)

Simplifying the fraction on the right side of the equation dividing the numerator and denominator by 3:

t = - (3/3) / (9/3)

t = - (1/3)

Answer:

1950 watt-hours

Step-by-step explanation:

3 days and 6 hours is equivalent to 3.25 days because there are 24 hours in a day and 6/24 or 6 out of 24 is equivalent to 6÷24 which is 0.25.

0.25 + 3= 3.25 which is the time.

Multiply 3.25 by 600 to find the watt-hours in 3 days and six hours.

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

If 1cm = 7m

then:

7c = 49m

Answer:

B) -3

Step-by-step explanation:

4 - 2x = 10

Subtract 4 from each side

4-4 - 2x = 10 -4

-2x = 6

Divide by -2

-2x/-2 = 6/-2

x = -3

Answer:

x= -3

Step-by-step explanation:

First, you would subtract 4 from both sides to isolate the -2x, which makes -2x=6. Then to isolate the x, you divide by the negative 2 (negative because the subtract sign is before it.) to get x=-3

Answer:

3

Step-by-step explanation:

Divide [tex]\dfrac{2}{3}[/tex] by [tex]\dfrac{2}{9}:[/tex]

[tex]\dfrac{2}{3}:\dfrac{2}{9}=\dfrac{2}{3}\cdot \dfrac{9}{2}=\dfrac{2\cdot9}{3\cdot 2}=\dfrac{9}{3}=3.[/tex]

Answer: Her cell phone bill will cost her $61.19

Step-by-step explanation: If it cost 0.18 per min make sure you read the question right

Answer:

B) Not Garlicky enough.

Step-by-step explanation:

You divide 500 by 8 to make it a unit. Then multiply that by 12. That equals 750. Therefore there is not enough garlic.

Answer:

21.25 pieces of candy have been eaten.

Step-by-step explanation:

Pretty much, we have to start by finding how many times 8 can go into 34, which is 4.25. So if we are subtracting the whole from three eighths, 3/8 will equal 12.75/34. 34-12.75= 21.25. Therefore, 21.25 pieces of candy have been eaten.

Answer:

d 5.5

Step-by-step explanation:

Answer:

D: 5.5%

Step-by-step explanation:

[tex]2.\\k(x)=2x^2-3\sqrt{x}\\\\k(9)\to\text{put the value of x = 9 to the equation of the function:}\\\\k(9)=2(9)^2-3\sqrt9=2(81)-3(3)=162-9=153\to\boxed{(4)}\\\\3.\\3(x^2+2x-3)-4(4x^2-7x+5)\qquad\text{use distributive property}\\\\=(3)(x^2)+(3)(2x)+(3)(-3)+(-4)(4x^2)+(-4)(-7x)+(-4)(5)\\\\=3x^2+6x-9-16x^2+28x-20\qquad\text{combine like terms}\\\\=(3x^2-16x^2)+(6x+28x)+(-9-20)\\\\=-13x^2+34x-29\to\boxed{(2)}[/tex]

[tex]4.\\p(x)=x^2-2x-24\\\\x^2-2x-24=0\\\\x^2+4x-6x-24=0\\\\x(x+4)-6(x+4)=0\\\\(x+4)(x-6)=0\iff x+4=0\ \vee\ x-6=0\\\\x=-4\ \vee\ x=6\to\boxed{(3)}[/tex]

[tex]8^{3x-10}=4^{6x-27}\\\\(2^3)^{3x-10}=(2^2)^{6x-27}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(3x-10)}=2^{2(6x-27)}\qquad\text{use distributive property}\\\\2^{(3)(3x)+(3)(-10)}=2^{(2)(6x)+(2)(-27)}\\\\2^{9x-30}=2^{12x-54}\iff9x-30=12x-54\qquad\text{add 30 to both sides}\\\\9x=12x-24\qquad\text{subtract 12x from both sides}\\\\-3x=-24\qquad\text{divide both sides by (-3)}\\\\\boxed{x=8}[/tex]

Answer:

The answer is x= -17/25 y= 19/5

Step-by-step explanation:

The system of equations 5x-2y=-11 and -2+5y=17 has the solution x=-1.4 and y=3.8 after substitution and simplification.

The given system of equations is 5x-2y=-11 and -2+5y=17. To solve this system, we need to isolate the variables. Let's start by cleaning up the second equation to 5y=19, you do that by adding 2 on both sides. This implies y=19/5 or y=3.8. Now, we can substitute y into the first equation: 5x - 2*(3.8) = -11. Solve this for x and you get x=-1.4. So the solution to the system of equations is x=-1.4 and y=3.8.

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Answer:

3/5 = .6

Step-by-step explanation:

1/2 in decimal form is .50, and 3/4 in decimal form is .75. We can choose any fraction that has the decimal form of .51 to .74. I'll choose .60.

.60 in fraction form is 60/100. We can simplify this down to 3/5.

Answer:

D. 1/2(4 + Z)

Step-by-step explanation:

1/2 x 4 + 1/2 x Z

We can factor out a 1/2 since it is in both terms

1/2 (4+z)

[tex]\dfrac{1}2{\times4+\dfrac{1}{2}\times z=\boxed{\dfrac{1}{2}}\times4+\boxed{\dfrac{1}{2}}\times z=\boxed{\dfrac{1}{2}}\times(4+z)}\\\\Answer:\ \boxed{D.\ \dfrac{1}{2}(4+z)}[/tex]

Answer: 80%

15 are on the council, so 75-15 = 60 are not on the council. Therefore, 60/75 = 0.80 = 80% of the students aren't on the council.

An alternative way to find this answer is to compute 15/75 = 0.20 = 20% showing that 20% of the students are on the council, so 100% - 20% = 80% are not on the council.

To find the percent of students not on the student council, subtract the number of students on the council from the total number of students and calculate the percentage.

To find out what percent of the students are NOT on the student council, we need to subtract the number of students who are on the student council from the total number of students and then calculate the percentage.

Number of students on the student council: 15

Total number of students: 75

Number of students NOT on the student council: 75 - 15 = 60

Percentage of students NOT on the student council: (60/75) * 100 = 80%

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Answer:

y=3/2+5

Step-by-step explanation:

Answer:

[tex]\frac{3}{2}x^{2} +5x-21[/tex]

Step-by-step explanation:

put into y=mx+b form

Answer: C

Step-by-step explanation: |-15| is 15. |12| is 12. 15 is greater then 12.

f(x) > 0 - I and II quadrant

f(x) < 0 - III and IV quadrant

Look at the picture.

A. F(x) < 0 on the interval x < 0.     TRUE

B. F (x) > 0 on the interval x <0.      FALSE

C. F (x) < 0 on the interval 0 < x < 1.      TRUE

D. F (x) > 0 on the interval 0 < x < 1.      FALSE

E. F (x) < 0 on the interval 1 < x < 3.     FALSE

F. F (x) > 0 on the interval 1 < x < 3.      TRUE

G. F (x) < 0 on the interval x > 3.     TRUE

H. F (x) > 0 on the interval x > 3.      FALSE    

Answer:52 stamps

Step-by-step explanation: He has 32 now. You subtract 6, as he bought 6 more. Then you double this as he sold half. That gives you 52

Starting with the equation (x/2) + 6 = 32, we solve for x to find that William originally had 52 stamps in his collection.

Let's use algebra to solve the problem William faced with his stamp collection. We can let the variable x represent the original number of stamps William had. According to the question, he sold half of his stamps and then bought 6 more, ending up with 32 stamps. This can be expressed as the equation (x/2) + 6 = 32. To find the original number, we solve for x:

Therefore, William started with 52 stamps in his collection before he sold any to consider buying a video game.

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