How do you solve this ​

Answer:

Rectangle T, Rectangle P, Rectangle S

Step-by-step explanation:

With a quick use of a calculator, we can convert all the diagonal lengths into decimals for easy comparison

Rectangle P = 6.7 cm

Rectangle S = 34/5 =  6.8 cm

Rectangle T = [tex]\sqrt{36.5}[/tex] = 6.04 cm

Hence from the shortest to the longest,  we have

T, P, S

Answer:

√(-2)²+12+14=√16+14=4+14=18

Step-by-step explanation:

The value of expression (√a² + 12) + |b| when a = -2, b = 14 is 16.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given expression

(√a² + 12) + |b|

a = -2

b = 14

Substituting value of a and b in the expression

(√-2² + 12) + |14|

= (√4 + 12) + 14

= (√16) + 14

= 4 + 14

= 16

Hence, 16 is the value of expression (√a² + 12) + |b| when a = -2, b = 14 .

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Answer: 15-3=12 12/4=3 each child will pay 3,000

Step-by-step explanation:

g(-4)=(-4)^2-3(-4)

=16+12

=28

Answer:

-4[tex]x^{2}[/tex]+1+7[tex]a^{c} ^{2+10}[/tex]x

Step-by-step explanation:

5x+9=2x+7+3x-15

0=17

7x+5x-7=21+10x

2x=28

x=14

24-3x=8+2x+16-x

-4x=0

~

answer:c

Answer:

Step-by-step explanation:

If P, Q and S are collinear, then the three points lies on the same straight line.

If the Straight <P Q S is divided into 2 angles, <P Q R and <R Q S, by ray Q R, then;

<P Q R + <R Q S = 180

Given

<R Q S =x+1

<P Q R = 3x-5

Substitute the given expression into the formula and calculate x;

3x-5+x+1 = 180

collect like terms

3x+x - 5+1 = 180

4x-4 = 180

4x = 180+4

4x = 184

divide both sides by 4

4x/4 = 184/4

x = 46°

To get m∠PQR, we will substitute x = 46 into the expression for m∠PQR.

m∠PQR = 3x-5

m∠PQR = 3(46) - 5

m∠PQR = 138 - 5

m∠PQR = 133°

Hence the measure of angle m∠PQR is 133°

The measure of angle m∠PQR is 133° and the measure of angle m∠RQS is 47° on straight angle ∠PQS.

Given that, points P, Q and S are collinear, then the three points lies on the same straight line.

The straight ∠PQS is divided into 2 angles as ∠PQR and ∠RQS, by ray QR, then ∠PQR + ∠RQS = 180°

Here, ∠PQR = (3x-5)° and ∠RQS =(x+1)°

So, (3x-5)°+(x+1)°=180°

4x-4=180

4x=184

x=184/4

x=46

Now,

∠PQR = (3x-5)°

= 3×46-5

= 138-5

= 133°

Hence, the measure of angle m∠PQR is 133° and the measure of angle m∠RQS is 47° on straight angle ∠PQS.

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Answer:

B)13

Step-by-step explanation:

Answer:

Peter would be 13 years old.

Step-by-step explanation:

Answer:

Your answers should be a = 135 adult tickets and s = 186 student tickets.

Step-by-step explanation:

1. Solving for variable s by manipulating variable a:

a + s = 321

a = 321 - s (subtract s to the other side to get a by itself)

$3.50(321-s) + $2.50s = $937.50 (substitution from step 2)

$1123.50 - $3.50s + $2.50s = $937.50 (distributive property)

$1123.50 - $1.50s = $937.50 (combine like terms)

-$1.00s = -$186 (subtraction property of equality)

s = 186 student tickets.

2. Solving for variable a by manipulating variable s:

a + s = 321

s = 321 - a

$3.50a + $2.50(321-a) = $937.50

$3.50a + $802.50 - $2.50 a = $937.50

$1.00a = $135

a = 135 adult tickets.

If you plug both numbers into the original equations, they should come out to be true equations. 135 + 186 = 321 and $472.5 + $465 = $937.5, so these two numbers are your answers for a and s accordingly.

Using the elimination method, we need to eliminate one of the variables by a process of subtraction or addition depending on the case. We can use multiplication or division before eliminating in order to eliminate.

a + s = 321

3.50a + 3.50s = 1123.50 (multiply entire equation by 3.50 in order to eliminate variable a by subtraction)

Now, we can use elimination:

3.50a + 3.50s = 1123.50

3.50a + 2.50s = 937.50

0a + 1s = 186, or s = 186 student tickets.

The same process can be used to solve for variable a. Your answers should be a = 135 adult tickets and s = 186 student tickets.

[tex]\tt Step-by-step~explanation:[/tex]

To solve for x, we need to know that the angles inside of a triangle is always equal to 180º.

[tex]\tt Steps:[/tex]

Since all the angles added together are equal to 180º, we simply have to add the two given angles and subtract that from 180º.

[tex]\tt 43+60=103\\180-103=77\\x=77[/tex]

[tex]\large\boxed{\tt Our~final~answer: ~x=77}[/tex]

Answer: a. x<3 and x<1

Alright, so uno.

By six types of triangles, I'll assume that your teacher meant acute, right, obtuse, scalene, isosceles, and equilateral.

Some easy things to make with triangles are flags.

You could make a triangular leaf, with triangles as the stem.

Look up animals made out tangram triangles for some inspiration.

Honestly, just do whatever you wanna do.

Answer:

5

Step-by-step explanation:

Add. 8 plus a negative three would be subtracting 8-3.

Hope this helped and have a great day!

Answer:

5

Step-by-step explanation:

8 + (-3)

8 - 3

5

Best of Luck!

Answer:

9.99493

Step-by-step explanation:

You divide the circumference by pi to get the diameter. Then if you want the radius, you just simply cut the diameter in half!

Answer:

True

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

51 miles / 3 gallons = 17 miles per gallon

its b i did the test

Answer:

Step-by-step explanation:

The formula for density is D = M/V meaning mass per unit of volume.

Once you solve for V, you get M/D which would be 6.2g/(21g/ml).

The grams cancel and you get mL, 0.295mL to be exact

Answer:

h(9) = 14

Explanation:

h(x) = 2x - 3

h(9) = 2(9) - 4

h(9) = 18 - 4

h(9) = 14

Answer:

its d

Step-by-step explanation: im taking the quiz right now and this is what i chose i am 100% sure that this is the answer! Hope this helps!

The waves move faster at higher temperatures and in a solid phase because there is more energy and the particles are closer together.

Energy is a quantifiable quality that may be imparted to a body or a physical system and is visible in the way things work as well as in the way that things radiate heat and light.

Higher temperatures imply more energy, and particles are close together in a solid phase.

As a result, highly energetic particles collide with nearby particles, which then collide with further particles.

Higher temperatures cause waves to move more quickly; in a solid phase, more energy is there but the particles are farther apart.

less energy is present but the particles are closer together; more energy is present but the particles are farther apart.

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Answer:

-2x - 6 < -8

Step-by-step explanation:

when the first one is smiplfid it gives us   x<−2

when the second one is smiplfid it gives us    x>1 which means it's correct because 8 is greater than 1

plz mark brainliest

Answer:

(  −∞  ,  −2  )  ∪  (  1  ,  ∞  )

Step-by-step explanation:

5x + 3 < -7  →  x  <  −2    → (  −∞  ,  −2  )  

-2x - 6 < -8  → x  >  1        →  (  1  ,  ∞  )

5x + 3 < -7 or -2x - 6 < -8 → x  <  −2  or  x  >  1 →  (  −∞  ,  −2  )  ∪  (  1  ,  ∞  )

Graph 1)   5x + 3 < -7

Graph 2)  -2x - 6 < -8

Graph 3)  5x + 3 < -7 or -2x - 6 < -8

Answer:

Step-by-step explanation:

See the steps

Concepts Used:                                                                                                    

Finding x:_____________________________________________            

From the Exterior angle property, we know that the measure of an exterior angle is the sum of the 2 opposite interior angles

So, using the property

(3x-10) = (25) + (x + 15)

3x - 10 = 25 + x + 15

3x - 10 = 40 + x

3x-x - 10 = 40              [subtracting x from both sides]

2x - 10 = 40

2x = 50                        [adding 10 on both sides]

x = 25                          [dividing both sides by 2]

Hence, the value of x is 25

Answer:

you're question is not clear enought

Step-by-step explanation:

I'm so confused.

Answer:

x = [tex]\frac{3+2y}{5y-2}[/tex]

Step-by-step explanation:

Given

y = [tex]\frac{2x+3}{5x-2}[/tex] ← multiply both sides by (5x - 2)

y(5x - 2) = 2x + 3 ← distribute left side

5xy - 2y = 2x + 3 ( add 2y to both sides )

5xy = 2x + 3 + 2y ( subtract 2x from both sides )

5xy - 2x = 3 + 2y ( factor out x from each term on the left side )

x(5y - 2) = 3 + 2y ← divide both sides by (5y - 2)

x = [tex]\frac{3+2y}{5y-2}[/tex]

Equivalent to 175 cents

She has 5 dimes and 25 nickels

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

Explanation:

n = number of nickels

d = number of dimes

n+d = 30 since she has 30 coins of just these two types

n = 5d because she has five times as many nickels compared to dimes

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

We'll use substitution to solve this system

n+d = 30

5d+d = 30 ... replace n with 5d

6d = 30

d = 30/6 ... divide both sides by 6

d = 5

Sophie has 5 dimes

n = 5d

n = 5*5 ... plug in d = 5

n = 25

Sophie also has 25 nickels

(5 dimes) + (25 nickels) = 30 coins total

This confirms we have the right coin counts.

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

Let's find the value of each stack of coins

1 nickel = 5 cents

25 nickels = 125 cents (multiply both sides by 25)

1 dime = 10 cents

5 dimes = 50 cents (multiply both sides by 5)

(5 dimes) + (25 nickels) = (50 cents) + (125 cents) = 175 cents

175 cents = (175/100) dollars = 1.75 dollars

Answer: x= -3.25

Step-by-step explanation:

R=4x+6y   11=4x+6(4)     11=4x+ 24     11-24=4x   -13=4x  -13/4=x  x=-3.25

11=4(-3.25)+ 6(4)  11= -13+24

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{x-1}{2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

[tex]\frac{y-1}{2}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex](x) = [tex]\frac{x-1}{2}[/tex]