20 points


Determine whether the statement is true or false. If the statement is​ false, make the necessary​ change(s) to produce a true statement.


To solve the system below by substitution, replace y in the second equation with 7−6x.


6x−y=7


2x+y=5


This statement is true.


This statement is false. To solve the system by​ substitution, replace x in the second equation with 7−6x.


This statement is false. To solve the system by​ substitution, replace y in the first equation with 7−6x.


This statement is false. To solve the system by​ substitution, replace y in the second equation with 6x−7.

9514 1404 393

Answer:

  98°

Step-by-step explanation:

Inscribed angle FGH is half the measure of the intercepted arc FH. The measure of arc FH is identical to the measure of central angle FIH. So, angle FIH has twice the measure of inscribed angle FGH:

  ∠I = 2×∠G = 2×49°

  ∠I = 98°

Given:

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ=3a+4[/tex]

[tex]XY=5a-12[/tex]

To find:

The value of a and PQ.

Solution:

We have,

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ\cong XY[/tex]                            (CPCTC)

So,

[tex]PQ=XY[/tex]

[tex]3a+4=5a-12[/tex]

Isolating variable terms, we get

[tex]3a-5a=-4-12[/tex]

[tex]-2a=-16[/tex]

Divide both sides by -2.

[tex]a=\dfrac{-16}{-2}[/tex]

[tex]a=8[/tex]

Now,

[tex]PQ=3a+4[/tex]

[tex]PQ=3(8)+4[/tex]

[tex]PQ=24+4[/tex]

[tex]PQ=28[/tex]

Therefore, the value of a is 8 and the value of PQ is 28.

Answer: -6/2 = -3

Step-by-step explanation:

You pick 2 points and then use rise/run=y/x

Because its slanted down its negative

Answer: 25%

Step-by-step explanation:

From the question, we are told that a stuffy normally costs $12, but that this week it is on sale for $9.

The Percent of Change on the stuffy will be calculated as:

= Change / Normal cost × 100

= (12 -9) / 12 × 100

= 3/12 × 100

= 1/4 × 100

= 25%

Answer:

the statement that shows that 49 is a perfect square 49 is equal to 7 times 7

Answer:

SQT = 100

Step-by-step explanation:

A full circle equals 360 degrees, when the other angles are added up 140 + 120 = 260 which is 100 off of 360 meaning the last angle is that 100 degrees.

Answer:

The correct option is;

[tex]\ \underset{JS}{\rightarrow} \right |[/tex]

Step-by-step explanation:

The given diagram consists of a a starting point, J having a direction passing through the point S and the line has one arrowhead on the right pointing to infinity, which is the symbol for a ray, JS

The denotation of a ray is made by the name of the ray having an overhead arrow as follows;

ray [tex]\ \underset{JS}{\rightarrow} \right |[/tex]

Option B is correct that is [tex]\overrightarrow{JS}[/tex].

It has magnitude, direction, and follows the law of vector addition.

As the direction is given from J to S. our JS vector becomes [tex]\overrightarrow{JS}[/tex].

Thus, option B is correct that is [tex]\overrightarrow{JS}[/tex].

More about the vector link is given below.

https://brainly.com/question/13188123

x = 3

I solved for x cause I wasn't exactly sure what you wanted.

Answer:

Just look at the explanation

Step-by-step explanation:

My winter Break was really great. I got to spend time with my family! Looking back on 2020, I see that I would have iked to ask my parents for a dog before we figured out that they were allergic to them. But other than that, I am so glad that this year is over!

Answer:

the second route

Step-by-step explanation:

1.5/10=0.15 miles/minute

3/15=0.2 miles/minute

0.2 is faster than 0.15

Answer:

$3.75

Step-by-step explanation:

2/3 = $2.50

2.50/2 = 1.25

1.25x3 = 3.75

The price of the triple pack of gum is $3.75.

Since Bailey brought a twin pack of gum for $2, this is 50 cents less than 2/3 the cost of a triple pack of gum.

So,

[tex]2\div 3 = \$2.50\\\\2.50\div 2 = 1.25\\\\1.25\times 3 = 3.75[/tex]

Learn more about price here: https://brainly.com/question/10132345

Answer:

p=23

Step-by-step explanation:

Answer:

P=23

Step-by-step explanation:

38-15=23

p=23

Hope this helps

Have a great day!

The solution of the equation 2(4-3x)+5(2x-3) = 20-5x+9 is 3.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 2(4-3x)+5(2x-3) = 20-5x+9

x is the variable in the equation.

Plus and minus are the operators

Apply distributive property.

8-12x+10x-15=20-5x+9

Take the variable terms on one side and constants on other side

5x-12x+10x=20-8-15+9

3x=6

Divide both sides by 3

x=2

Hence, the solution of the equation 2(4-3x)+5(2x-3) = 20-5x+9 is 3.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

Answer:

They pass through origin

Step-by-step explanation:

Hope maka help

Answer:

120, 15

Step-by-step explanation:

Answer:

15,120

Step-by-step explanation:

x-axis-15(read vertically)

y-axis-120(read horizontally)

Answer:

4

Step-by-step explanation:

Sub both sides by 3 then describe 20 by 5.

9514 1404 393

Answer:

  455

Step-by-step explanation:

The decrease was 30% of 650, or ...

  0.30 · 650 = 195

So, the population this year is ...

  650 -195 = 455

Answer:

455 Penguins

Step-by-step explanation:

1.) 650 x 0.30 = 195

2.) 650 - 195 = 455

Final answer: 455 Penguins

Hope this helped!

Answer:

second option

Step-by-step explanation:

You want to isolate the 'y' in each inequality:

4x - 5y ≤ 1

-5y ≤ -4x + 1

y ≥ 4/5x - 1/5   (inequality symbol changed because we divided by a negative)

1/2y - x ≤ 3

y - 2x ≤ 6    we multipled the original inequality by 2 to eliminate the denom.

y ≤ 2x + 6

Answer:

Please check the explanation.

Step-by-step explanation:

BLUE PENTAGON

The blue shape represents the Pentagon

The length of the side a = 7

As there are 5 sides.

Thus,

The Perimeter of the Blue Pentagon = P = 5a = 5(7) = 35

Using the formula to determine the area of the Pentagon

 [tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:[/tex]

[tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(7\right)^2\:\:\:\:\:\:[/tex]

[tex]A\approx 84.3\:\:\:[/tex]

Thus,

The Area of the Blue Pentagon = [tex]A\approx 84.3\:\:\:[/tex]

RED PENTAGON

The red shape represents the Pentagon

The length of the side a = 4

As there are 5 sides.

Thus,

The Perimeter of the Red Pentagon = P = 5a = 5(4) = 20

Using the formula to determine the area of the Pentagon

 [tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:[/tex]

[tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(4\right)^2\:\:\:\:\:\:[/tex]

[tex]\:A\approx 27.5[/tex]

The Area of the Red Pentagon = [tex]\:A\approx 27.5[/tex]

Conclusion:

The Perimeter of the Blue Pentagon =  35

The Perimeter of the Red Pentagon = 20

Thus, the ratio of the perimeter is: 35/20 = 7/4

The Area of the Blue Pentagon =  84.3 = 843/10

The Area of the Red Pentagon = 27.5 = 275/10

Thus, the ratio of the Area is:

 [tex]\frac{\frac{843}{10}}{\frac{275}{10}}=\frac{843}{275}[/tex]

Answer:

64

Step-by-step explanation:

Answer:

The answer will b 4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

$99

Step-by-step explanation:

First, it was on sale for 10% off. 10% = 0.1 = 1/10. 1/10 of 100 is 10, so we subtract 10 (because 10% off) to get $90. Then, the sales tax, which we add, is 10%. 1/10 of 90 is 9, so we add 9 to 90 to get our total to be $99

Answer:

2a+7b-5

Step-by-step explanation:

7b + 7 + 5b – 5b + 2a – 12

2a+7b+5b-5b+7-12

2a+7b-5

Answer:

the number of additional she needed is 135

Step-by-step explanation:

The computation is shown below:

GIven that

40 flowers of 16%

So for 100% it would be

= 40 ×100 ÷ 16

= 250

Now she needs to make is

= 70% - 16%

= 54%

Now the additional would be

= 250 × 54%

= 135

Hence, the number of additional she needed is 135