expand and simpifly 2(x+7) + 3(x+1)

transverse s at angle 135°

180° - 135° = 45°

Angle 2 is congruent to 45° because they're alternate exterior angles.

transverse t at angle 120°

180° - 120° = 60°

Angle 3 is congruent to 60° because they're alternate exterior angles.

One rule for exterior angles in triangles is that the exterior angle is equal to the sum of the two angles adjacent to the opposite angle of the exterior angle.

135° = angle 1 + 60°

angle 1 = 75°

120° = angle 1 + 45°

angle 1 = 75°

Therefore angle 1 is 75°,angle 2 is 45° and angle 3 is 60°

Answer:

m∠1 = 75° m∠2 =45° m∠3 = 60°

Step-by-step explanation:

m∠1 = 180 - { (180 - 135) + (180 - 120) }

m∠1 = 180 - { 45 + 60 }

m∠1 = 75°

The angle between 1 and 3, lets call it x,  is vertically opposite to ∠2, so we must find it first to be able to get ∠2

Since a ║b

Therefore ∠x and ∠135 are co-interior angles

Therefore ∠x = 180-135

m∠x = 45°

∠2 = ∠x (Vertically opposite angles)

∠2 = 45°

Between ∠2 and ∠3 there is an angle, let's call it z.

∠z = ∠1 (Vertically opposite angles)

∠z = 75°

Since the sum of  ∠2, ∠z and ∠3 = 180° (Straight angle)

Therefore m∠3 = 180 - (∠2 + ∠z)

m∠3 = 180 - (45 + 75)

m∠3 = 60°

Or in a different way

∠2 + ∠z + ∠3 = 180

45 + 75 + ∠3 = 180

120 + ∠3 = 180

∠3 = 180 - 120

∠3 = 60°

Hope it helps

Answer:

Your answer should be C

Step-by-step explanation:

Answer:

3x - 2y = -18

Step-by-step explanation:

3x - 2y = -18 and (-2, 6)

(3)(-2) - (2)(6) = -6 - 12 = -18

Answer: The Car is moving at a Constant positive speed

Step-by-step explanation:

the car is going in a positive direction at a time in which doesn't change so it is at a constant speed

Based on the cost of the bus rides in total and the number of buses taken, the relevant equation would be c = 34/b.

Makayla took 8 express bus rides and this cost her $34 in total. The cost of each bus ride is therefore:

= Total cost of rides / Number of rides taken

With the cost per ride being c and the bus ride being b, the equation would be:

c = 34/b

In conclusion, to find the cost of each bus ride, use the equation c = 34/b.

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Answer: 11.7 ounces

Step-by-step explanation:

65% of 18 is:

0.65*18=11.7

Therefore, the answer is 11.7 ounces.

Answer:

There are 11.7 oz of cotton in this scarf.

Step-by-step explanation:

The scarf weighs 18 oz.  We are told that 65% of the makeup of the scarf is cotton.  To determine how much cotton is in the scarf, we multiply the scarf's full weight, 18 oz, by 0.65 (0.65 is the decimal fraction equivalent of 65%):

0.65(18 oz) = 11.7 oz

There are 11.7 oz of cotton in this scarf.

Since only one box contains gold, then the gold must be in Box 2.

Let's analyze the statements in each box:

Box 1 says, "The gold is not in Box 2." If this statement is true, it means the gold cannot be in Box 2.

Box 2 says, "The gold is in this box." If this statement is true, it means the gold must be in Box 2.

Box 3 says, "The gold is not in this box." If this statement is true, it means the gold cannot be in Box 3.

Now, let's consider the possibilities:

If Box 1 is true, then the gold is not in Box 2 (as stated in Box 1), and it is also not in Box 3 (since Box 3 would be false, and only one box contains the gold).

As per Box's 1 statement, the gold is not in Box 2.

If Box 3 is true, then the gold is not in Box 3 (as stated in Box 3), and it is also not in Box 2 (since Box 2 would be false, and only one box contains the gold).

Therefore, the gold must be in Box 1.

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Answer:

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. ... Subtract one and multiply the resulting number by 100 to give it a percentage representation.

Answer:

Solution:

Volume of cylinder = area of base × altitude

Volume = πr² × altitude

V= 3.14 × 12² × 14

V = 3.14 × 144 × 14

V = 6,330.24 cm

Answer:

it is 14

Step-by-step explanation:

if X=14 then Y=84

Answer:

Harry would have made 1 and 1/2 jars of raspberry jam

Step-by-step explanation:

Hope this helps

Raspberry jam can fill [tex]12\frac{15}{16}[/tex]  jars when the quantity of raspberry jam is [tex]3\frac{5}{6}[/tex] times as strawberry jam .

Given, that strawberry jam has filled 3 3/8 jars.

Multiplication: It is the basic mathematical operation among division, addition and subtraction.

The number of jars of strawberry jam is [tex]3\frac{3}{8}[/tex] jars.

The number of jars of raspberry jam is [tex]3\frac{5}{6}[/tex] times of the number of jars of strawberry jam.

So,

[tex]3\frac{3}{8} \times 3\frac{5}{6}[/tex]

[tex]= \frac{27}{8} \times \frac{23}{6}\\ \\= 207/16\\\\= 12\frac{15}{16}[/tex]

The number of jars of raspberry jam is [tex]12\frac{15}{16}[/tex] .

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Answer:

B. between -2 and -1

Step-by-step explanation:

Brainlyist please

Answer:

35/100

Step-by-step explanation:

percents go buy hundreds, so 35 percent in fraction form would be 35/100

Answer:

1/2 extra with overtime

Step-by-step explanation:

150%=150/100

150/100=15/10

15/10=3/2

1 and 1/2

Answer:

33, 77

Step-by-step explanation:

-3. 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77

Answer:

The 10th Term is; 33.

The 21st Term is; 77

Step-by-step explanation:

You need to add 4 each time to get a term. The first term is -3 so -3+4=1. Then 1+4=5, and 5+4=9 and so on.

-3. 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77

Answer:

With 4 times the number of machines, it would take 8 hours

Step-by-step explanation:

Answer: 1(a) $120

(ii a) $34

Step-by-step explanation:

21-19 = 2

$6/2=3

21x 3( one ratio =$3) =63

19x3 = 57

63+57=120 - (1 A ans)

(ii a) 40x0.15 (percentage decrease)= 6

40-6 = $34

The total amount of money shared by Yasmin and Zak is $120.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

(i) The given ratio is 21:19

Let Zak be having $x, the Yasmin will be having $(x+6).

Now, 21/19 = x+6/x

21x=19x+114

2x=114

x= $57

So, x+6= 57+6 = 63$

Total 63+57=$120

(ii) Given that, Yasmin buys a blouse with an original price of $40.

In a sale, all prices are reduced by 15%.

Now, 15% of 40

= 15/100 ×40

= 0.15×40

= 6

New cost =40-6

= $34

Therefore, the sale price of the Yasmin's blouse is $34.

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Answer:

The answer is 2/3

Step-by-step explanation:

Answer:

The determined equation for number 321411 factorisation is 3 * 107137.

Answer:

×=-2

Step-by-step explanation:

4×+8=0

4x= -8

therefore;

x= -2

Answer:

Step-by-step explanation:

24+3y=56 solve for y, subtract 24 from each side

3y=32 divide each side by 3

y=32/3

Answer:

y=32/3

Step-by-step explanation:

let the number be y, then

24+3y=56 solve for y, subtract 24 from each side

3y=32 divide each side by 3

y=32/3

Step-by-step explanation:

The formula used to determine the terms is

an = a1 × rn - 1

It is given that

a1 = 4

a8 = -8,748

Substituting the values in the formula

-8748 = 4 × r8 - 1

r7 = -8748/4

r7 = -2187

r = -3

So the 16th term is

a16 = 4 × 316-1

a16 = -57395628

Therefore, the 16th term is -57395628.

Answer:

3.4%

Step-by-step explanation:

Answer:

around 7

Step-by-step explanation:

7 is my lucky number

Answer:

x = -8/3

y = 5

Step-by-step explanation:

Finding the equation of the line:

y = 3x +c

Substituting (-2,5) into 'y=3x+c':

5 = -6 + c

c = 11

Hence,

y = 3x + 11

For finding x:

Substituting (x, 3) into 'y = 3x +11':

3 = 3x + 11

3x = -8

x = -8/3

For finding y:

Substituting (-2, y) into 'y = 3x + 11':

y = -6 + 11

y = 5

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Answer:

c = m + 4

you solve for c by simplifying both sides of the equation, then isolating the variable.

Answer:

Your answer is

c = m + 4

Answer: fixed rate mortgage

Step-by-step explanation:

Its correct

Fixed rate mortgage will be for Tanya who's worked out a budget that allows her to pay her mortgage and save for her three young children's college funds.

A fixed rate mortgage is one in which the interest rate remains constant for the duration of the loan.

This means that the monthly payment amount remains constant, making budgeting and planning easier for borrowers.

Tanya should look for a mortgage with a low interest rate and a manageable monthly payment that fits into her budget.

A shorter loan term means a higher monthly payment but less overall interest paid over the life of the loan.

Tanya has worked out a budget that allows her to pay her mortgage while also saving for her three young children's college funds.

Thus, the answer is Fixed rate mortgage.

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Your question seems incomplete, the probable complete question is:

Tanya who's worked out a budget that allows her to pay her mortgage and save for her three young children's college funds Which Mortgage is Right?

Answer:

- 3x^2 + 2x - 13

Step-by-step explanation:

f (x) + g (x) = ( - 4x^2+5x-9) + (x^2 - 3x - 4)

= ( - 4x^2 + x^2) + (5x-3x) + (-9-4)

= - 3x^2 + 2x - 13

Answer:

d

Step-by-step explanation:

the corresponding angles are described by 2 parallel lines and a line that cross them all

Answer: A. The graph of f(x) is horizontally compressed by a factor of 2 and

shifted 15 units to the left.

Step-by-step explanation:

Hope this helps!

Answer:

2/3

Step-by-step explanation:

there's 6 total and 4 numbers less than 8 so probability is 4/6 simplify and u get

2/3