Find the distance between -6.3 and -5.5 on a number line. Write your answer as a decimal.

Answer:

x=5

Step-by-step explanation:

Angles in a triangle adds up to 180 degrees

so 105 + (6x+20) + (7x-10) = 180

simplify

115+13x=180

subtract 115 to each side

13x=65

divide by 13

x=5

check work

105 + (6(5) + 20) + (7(5) -10)

105 + (30 +20) +(35 - 10)

105 + 50 + 25 = 180

Explanation:

The green and red angles are alternate exterior angles. They alternate on either side of the transversal line. They are exterior because they are outside the parallel lines (think of the interior region as a river and the exterior regions as the shorelines).

Recall that alternate exterior angles are congruent when we have parallel lines. This is similar to how alternate interior angles are congruent due to parallel lines.

Since the angles shown are congruent, this must mean angle 2 is also 130 degrees.

it is -23 I think

Step-by-step explanation:

(-5)+(-18)=-23

Answer:

(4, 22)

Step-by-step explanation:

y = 5x + 2

y  = 3x + 10

Since both equations are equal to y, we can have both equations equal to each other).

5x + 2 = 3x + 10

5x + 2 - 3x - 2 = 3x + 10 - 3x - 2

5x - 3x = 10 - 2

2x = 8

2x/2 = 8/2

x = 4

(Substitute the x value to any equation to solve for y).

y = 5x + 2

y = 5(4) + 2

y = 20 + 2

y = 22

So, the answer is (4, 22).

Hope this helped! <3

Answer:

n = 0.8

Step-by-step explanation:

3n + 3 = 5.4

-3 form each side

3n=2.4

÷3 for each side

n=0.8

Answer:

0.8

Step-by-step explanation:

3(n+1)=5.4

Divide both sides by 3

3(n+1)/3 = 5.4/3

simplify

n+1=1.8

subtract 1 from both sides

n+1-1=1.8-1

N=0.8

Answer:

-5

Step-by-step explanation:

A negative times a negative always equals a positive.  5 x 9 = 45

Answer:

44°

Step-by-step explanation:

8x-4 = 6x+8

8x - 6x = 8 + 4

2x = 12

x = 12/2

x = 6

then:

8*6 - 4 = 48 - 4 = 44°

The measure of angle 1:

44°

Answer:

A

Step-by-step explanation:

4(x+3)+3(5-x)

=4x+12+15-3x

=x+27

Answer:

A. x+27

Step-by-step explanation:

Answer:s=10.50 and p=27

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Given that,

Initial cost of a t-shirt = $30

Final cost of a t-shirt = $37.50

We need to find percent of change. The percentage change in any value is given by :

[tex]\%=\dfrac{\text{final value-initial value}}{\text{initial value}}\times 100\\\\=\dfrac{37.5-30}{30}\times 100\\\\=25\%[/tex]

Hence, the percentage error is 25%.

Answer:

[tex]16^\circ, 88^\circ, 76^\circ[/tex]

Step-by-step explanation:

Given a triangle.

One of the angles is [tex]8^\circ[/tex] more than 5 times of one angle.

Third angle is [tex]4^\circ[/tex] more than the difference of two angles.

To find:

The angles.

Solution:

Let the first angle = [tex]x^\circ[/tex]

As per question statement, second angle = 5[tex]x^\circ[/tex] + [tex]8^\circ[/tex]

And third angle = 5[tex]x^\circ[/tex] + [tex]8^\circ[/tex] - [tex]x^\circ[/tex] + [tex]4^\circ[/tex] = [tex](4x+12)^\circ[/tex]

Using triangle sum property that the sum of all the internal angles of a triangle is always equal to [tex]180^\circ[/tex].

[tex]x+5x+8+4x+12 = 180\\\Rightarrow 10x+20=180\\\Rightarrow 10x = 160\\\Rightarrow x = 16[/tex]

Therefore, the first angle = [tex]x^\circ = 16^\circ[/tex]

The second angle = [tex]5x+8 = 5 \times 16 + 8 = 80+8 = 88^\circ[/tex]

The third angle = [tex]4x+12 = 4\times 16 + 12 = 76^\circ[/tex]

Therefore, the angles are [tex]16^\circ, 88^\circ, 76^\circ[/tex].

Answer: 6.68km/litre

Step-by-step explanation:

Distance(d) = 187km ( to 3 significant figures)

Petrol(p) = 28litres ( to 2 significant figures)

A number, x, rounded to 1 significant figure is 200

Write down the error interval for x

Calculating the lower and upper bound for both 'd' and 'p'

Upper bound 'd' = 187.5km

Lower bound 'd' = 186.5km

Upper bound 'p' = 28.5km

Lower bound 'p' = 27.5km

Therefore,

Petrol consumption (C) = d/p

Upper C = 187.5 / 28.5 = 6.57894

Lower C = 186.5 / 27.5 = 6.781818

Accuracy answer for C = (6.57894 + 6.781818) / 2 = 6.680379

= 6.68km/ litre ( to 3 significant figures)

To achieve a reasonable level of accuracy, the upper and lower bounds of P and D was used to calculate C, which was then averaged.

Using 3 significant figures ensure that we capture the C better, instead of early rounding.

Answer: i think its c

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

13.33 pink roses

Step-by-step explanation:

We are told the floral arrangements are proportional , hence:

6 white roses = 8 pink roses

10 white roses = x

Cross Multiply

6 white roses × x = 10 white rose × 8 pink roses

x = 10 white roses × 8 pink roses/6 white roses

x = 13.333333333 pink roses

x ≈ 13.33 pink roses

Answer:

I need help w this question to answer it plz!

Answer:

Step-by-step explanation:

You will need to add a picture

Answer:

look in explanation

Step-by-step explanation:

1) bisector means cutting an angle in half. the small lines between segment SM and MT mean they are congruent. this means MW is a bisector. Since both halves of ST are congruent, we know SM = 19. 19+19=38

2) same logic here, M bisects ST. set both halves of ST equal to each other and solve.

3x-6=x+8

2x+14

x=7

plug back in to find MT (7)+8=15. MT=SM so double 15 to get ST. ST=30

3) the bisector will be exactly halfway between the points.

4) find difference between x and y values, and divide by 2

2-2=0 0/2=0 x moves 0

13-1=12 12/2=6 y moves 6

so add 0 and 6 to 2,1 to get (2,7)

5) same process

6--6=12 12/2=6

6-0=6 6/2=3

add 6 and 3 to -6,0 to get (0,3)

6) find the change in x and y between the coordinate sets. (x: 1- -1=2) (y: 2-4=-2) take the opposite of those values and add them to M

(x:1-2=-1) (y:2+2=4)

(-1, 4) are the other coordinates for C

7) take the same steps

(x:3-1=2) (y:7-1=6)

use -2 and -6

(x:3-2=1) (y:7-6=1)

(1,1) are other coordinates for C

8) use distance formula

sqrt (x1-x2)^2 + (y1-y2)^2

sqrt(1--1)^2 +(2-4)^2

sqrt (2)^2 +(-2)^2

sqrt 4+4

sqrt 8

9) same process

sqrt (-1-3)^2+(-5--8)^2

sqrt (-4)^2 +(3)^2

sqrt 16+9

sqrt 25

5

Step-by-step explanation:

sogzglzotsoypysotaota9t8ts

It would be 120 ye  f  = 8  E = 3 1/2  

Answer:

5 for the green box and 9 for the purple one

Step-by-step explanation:

Answer:

(2,1)

Step-by-step explanation:

2x - 2y = 2

5x + 2y = 12

2x + 5x = 7x

-2y + 2y = 0

2 + 12 = 14

7x = 14

7x/7 = 14/7

x = 2

2x - 2y = 2

2(2) - 2y = 2

4 - 2y = 2

-2y = 2 - 4

-2y = -2

-2y/-2 = -2/-2

y = 1

Answer:

I would need to know the number of radios she made each day.

Step-by-step explanation:

lets say she assembled 2 radios a day, which means we would do 0.54 x 2 (that would be 1.08) and then times it by 6 ***not incuding sunday***

you would get $6.48

then for sunday we would do 0.62 x 2 (that would be 1.24) .

now we add 6.48 and 1.24 to get $7.72 a week.

Answer:

In this item, we are given that out of 12 ounces of ingredients comprising the milkshake, there are 4 ounces vanilla. Expressing this into fraction will give us an answer of 4/12. This fraction can be one of the answers. Since we are asked for two fractions, we can simplify 4/12 such that we get an equivalent fraction that is equal to 2/6. Hence, the answers to this question are 4/12 and 2/6.

Step-by-step explanation:

1. 1\10

2. 1/4

3.16

Step-by-step explanation:

your welcome

Step-by-step explanation:

Using Pythagoras' Theorem, we have

x² + 10² = (12√3)²

Therefore x² = (12√3)² - 10²

= (144)(3) - (100) = 332.

=> x = √332 = 2√83. (B)

Answer:

120°

Step-by-step explanation:

A sector of a circle is the portion or region of a circle enclosed by two radii and an arc. The perimeter of a the sector of a circle is given by the formula:

Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r

Where θ is the angle which forms the sector and r is the radius of the circle.

Given that Perimeter of sector = 57.32 cm, radius (r) = 14 cm, we can find the angle θ using:

Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r

[tex]57.32=\frac{\theta}{360} *2\pi *14+2(14)\\\\57.32-28=\frac{\theta}{360} *2\pi *14\\\\29.32=\frac{\theta}{360} *2\pi *14\\\\ \frac{\theta}{360}=\frac{29.32}{2\pi *14} \\\\\frac{\theta}{360}=0.33\\\\\theta=120^o[/tex]

Answer:

The measure confirming that PQRS would be 25

Step-by-step explanation:

It's easier if you draw it down.

1. We need to make this shape a parallelogram and the way we will do that is by making angle Q and angle S the same, because in parallelograms those opposite angles are required to be the same.  

                             \

                        155 \

P \ -------------------------\ Q

    \                         25 \

      \                               \     so that's your shape  

   S   \______________\ R

2.We were given that the exterior angle of Q measures 155, and since exterior and interior angles combined make 180, then we can assume that the interior angle of Q is 25.

3. As mentioned before, in a parallelogram, opposite angles are the same and  therefore PSR (which is just asking for the middle letter, S) is equal to 25 because Q is also 25.  

These are all your congruent parts and they are colour coded along with matching marks on the triangle to help you know that! :)

Answer:

I think its D bc the scale factor is 1:5 so 12:60 therefore the answer I think is D

I hopeit helps but if its wrong im very sorry :(

Step-by-step explanation:

Answer:

$143.10

Step-by-step explanation:

$159 (regular price) - 10% = $143.1 = $143.10

Sorry if wrong! Mark brainiest if correct :D Have a great day Luv!

-Bee

Answer:

a

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

B, C, and D, have straight up and down lines, which is not a function.