subtract 7x^2-5x+3 - (2x^2+7x-4)

Answer:

B

x = 22

Step-by-step explanation:

2x + 8 + 3x + 5 = 123    (external angle in a triangle = the two opposite angles)

5x = 123 - 13

5x = 110

x = 22

Answer: B

Step-by-step explanation:

By the Exterior Angle Theorem, we know that the exterior angle is equal to the sum of the two opposite interior angles.

(2x+8)+(3x+5)=123       [combine like terms]

5x+13=123                     [subtract both sides by 13]

5x=110                           [divide both sides by 5]

x=22

Now, we know that the answer is B.

Answer: A

Step-by-step explanation:

Answer A:

Angle H is congruent to angle H. because BC and GI are parrellel, and Angles IGB and CBH are corresponding angles. Triangles HBC and HGI are similar

Yes, the triangles are Similar by SAS similarity criteria the triangles are similar.

Similar triangles have proportional sides and equal corresponding angles. This similarity can be expressed using the symbol "∼".

We have two Triangles named HBC and HGI

As, per the figure CB || IG

We know, A midsegment is parallel to one side of a triangle and divides the other two sides into congruent halves.

Then, HB / BG = HC / HI

Now, add 1 to both side we get

HB / BG  + 1 = HC / HI + 1

(HB + BG) / BG = (HC + HI) / HI

BG / BG = CI / HI

Now, In Triangles HBC and HGI

BG / BG = CI / HI

<H is Common.

Thus, by SAS similarity criteria the triangles are similar.

Learn more about Similarity here:

https://brainly.com/question/29731302

#SPJ1

Answer:

93

Step-by-step explanation:

Given that:

Brittany's Zscore = 1.8

Mean score (m) = 75

Standard deviation (s) = 10

Brittany's score (x) =?

Using the Zscore formula :

Zscore = (x - m) / s

1.8 = (x - 75) / 10

18 = x - 75

18 + 75 = x

93 = x

Hence, Brittany's score is 93

Answer:

Well you could try measuring it out with a ruler or count the dots that would be there or even try a graph this might help u

Step-by-step explanation:

1: count the dots that are going diagnal

2: try using a ruler

3: then graph the points and see if this helps

Answer:

495-75=420 so

(−10,7)∪(7,11)(−1,2)∪(−4,0)[−1,9)∪(2,10]

Step-by-step explanation:

420 is that Marco still needs to save before he can buy the smartphone.

Here's a screenshot of the answer below:

Answer:

1/10

Step-by-step explanation:

Answer:

5/50 or 1/10

Step-by-step explanation:

Both are correct, but the best answer is 1/10 because it is the simplest, and its reduced form.

Answer:

5/9 or 0.5555 repeating [tex]m^{2}[/tex]

Step-by-step explanation:

(5/6 x 2/3)

Answer:

57.3°

Step-by-step explanation:

A 25 feet ladder leans against a building.

The ladder's base is 13.5 feet from the building.

The ladder, the wall of the building and the ground form a right-angled triangle of:

Hypotenuse = 25 feet

Base = 13.5 feet

We are to find the angle of elevation which the ladder makes with the ground (or rather the angle created by hypotenuse and base)

Let's say the angle = X°

According to a trigonometric equation;

cos X° = adjacent side ÷ hypotenuse = [tex]\frac{13.5}{25}[/tex] = 0.54

[tex]cos ^{-1} X[/tex] = 57.5=3° (Answer rounded up to nearest one decimal place).

∴ The angle of elevation = 57.3°

Answer:

0

Step-by-step explanation:

If c=0

that expression also equals 0

Answer:

The distance of Jack's father's work from home is 22.5 miles.

Step-by-step explanation:

Given;

time it takes Jacks father at usual speed, t = 30 minutes = 0.5 hour

Jacks father speed when traffic is bad, = 30 mph slower

let the usual speed = v

let the distance of Jack's father's work from home = y

When traffic is normal;

[tex]v = \frac{y}{0.5 } ---- equation \ (1)[/tex]

When traffic is bad;

[tex]v - 30 \ mph = \frac{y}{1 \ + \ 0.5} \\\\v -30 = \frac{y}{1.5} \\\\v= 30 +\frac{y}{1.5} ----equation \ (2)[/tex]

Solve equation (1) and (2) together;

[tex]\frac{y}{0.5} = 30 \ + \ \frac{y}{1.5} \\\\y = 0.5(30 \ + \ \frac{y}{1.5})\\\\y = 15 + \frac{y}{3} \\\\y - \frac{y}{3} = 15\\\\\frac{3y-y}{3} =15\\\\\frac{2y}{3} =15\\\\2y = 3(15)\\\\2y = 45\\\\y = \frac{45}{2} \\\\y = 22.5 \ miles[/tex]

Therefore, the distance of Jack's father's work from home is 22.5 miles.

The required distance of Jack's father's work from home is y = 22.5miles.

Given that,

Jacks father drives to work in 30 minutes while driving at his usual speed.

When traffic is bad, he drives 30 miles per hour slower and the trip takes one hour longer.

We have to determine,

How far is Jack's father's work from home.

According to the question,

Let, the usual speed = v

And the distance of Jack's father's work from home = y

Jacks father at usual speed taking time, t = 30 minutes = 0.5 hour,

Jacks father speed when traffic is bad, = 30 mph slower.

The formula for speed is defined as = distance ÷ time.

Therefore,

Jacks father drives to work in 30 minutes while driving at his usual speed.

[tex]Speed = \dfrac{distance}{time}\\\\v = \dfrac{y}{0.5}[/tex]

Then,

When traffic is bad, he drives 30 miles per hour slower and the trip takes one hour longer.

[tex]Speed = \dfrac{distance}{time}\\\\v - 30mph = \dfrac{y}{1+0.5}\\\\v = \dfrac{y}{1+0.5} + 30[/tex]

Substitute the value of v from equation 1 to equation 2,

[tex]v = \dfrac{y}{1+0.5} + 30\\\\\dfrac{y}{0.5} = \dfrac{y}{1.5} + 30\\\\\dfrac{y}{0.5} = \dfrac{y +30(1.5)}{1.5}\\\\y (1.5) = 0.5(y +45)\\\\1.5y = 0.5y + 22.5 \\\\1.5y - 0.5y = 22.5\\\\1y = 22.5\\\\y = 22.5 \ miles[/tex]

Hence, The required distance of Jack's father's work from home is y = 22.5miles.

To know more about Distance click the link given below.

https://brainly.com/question/14036614

Answer:

£6886

Step-by-step explanation:

P x e^r x t is the formula for compound interest

P x e^0.05 x 3 = 8000

P x 1.162 = 8000

P = 6885.66 = £6886 (round to the nearest pound)

Answer: £6910.71

Step-by-step explanation:

im not sure but i got this

Answer:

30 units²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here

b is the horizontal measure between 2 red points, that is 6

h is the vertical measure from the lower left point to the other horizontal line, that is 5, then

A = 6 × 5 = 30 units²

Answer:

The formula for area of a rectangle is: A = L * W where L is the length and W is the width. where S is the length of one side.

The expression A=LW is used to find the area of the rectangle.

We have to determine

The expression can you use to find the area of the rectangle.

The formula for the area of a rectangle is: A = L * W

where L is the length and W is the width.

where S is the length of one side.

Therefore the expression A=LW use to find the area of the rectangle.

To learn more about the area of the rectangle visit:

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Answer: 1000

Step-by-step explanation: 1/2x2000 = 1000

Answer:

1

Step-by-step explanation:

To find the solutions (or, in other words, zeroes) of a quadratic function/equation we use the discriminant (the part that's inside the square root of the quadratic formula, [tex]b^2-4ac[/tex].)

If the discriminant is smaller than 0, there are no zeroes

If the discriminant is equal to 0, there is one zero

If the discriminant is larger than 0, it has two zeroes

The discriminant is commonly denoted as [tex]\Delta[/tex].

Answer:

that would be 1

Step-by-step explanation:

i divided the 2 fractions and got 1

Answer:

Solution is in photo

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Thisis math can be exolained

Answer:

4x - 6

Step-by-step explanation:

2 × 2x = 4x

2 × -3 = -6

4x -6

Answer:

hi

Step-by-step explanation:

[tex]2(2x - 3) \\ 4x - 6[/tex]

hope it helps

have a nice day

Answer: 10 people can/ 12.50+16.25x is less than or equal to 175

Step-by-step explanation: so parking is constant since it doesn't change. ticket price however is affected by a variable which represents ticket per person which is shown as 12.50(parking)+16.25x where x would equal the max amount of people while respecting the given 175 limit we cannot go over

Answer:

"Can you add the equation?"

That's exactly what I'm asking, I asked a question that's very similar to this one, but nobody seems to know an equation that can be created :(

Step-by-step explanation:

If I solve the problem and create an equation, I'll let you know

I got you.

Inequaility : 12.50 + 16.25x ≤ 174

I think it's gonna be

x ≤ 10

Answer:

2.64

Step-by-step explanation:

x +2y = 6.06

3x + y = 4.99

x is fries, y is burgers. Solve for y.

Answer:

Line m and n are parallel lines that are intersected by a line

This means that corresponding angles in each line are equal to each other

This means that angle (3x+58) is equal to (5x)

now, we can solve for x and from there find the angle measure

(3x+58)=5x

3x-3x+58=5x-3x

58=2x

58/2=2x/2

29=x

if 29=x then 5(29)=5x

the angle measure of these angles is 145

Step-by-step explanation:

Answer:

Step-by-step explanation:

m // n  and they are intersected by transversal.

Corresponding angles are equal

5x = 3x + 58

5x - 3x = 58

     2x = 58

      x = 58/2

x = 29

Domain are the x values where the line starts and stops.

A bracket is used for a solid circle and a parentheses is used for open circles

The answer would be the second choice: (1,2)

Answer:

10/15-9/15=1/15

Step-by-step explanation:

2/3=10/15

3/5=9/15

10/15-9/15=1/15

Answer:

Option B

Step-by-step explanation:

In a triangle , sum of measure of any 2 sides is always greater than the measure of the third side. So

[tex]5 + 12 > k[/tex]

[tex] = > 17 > k[/tex]

Hence the measure of k is less than 17.

In the triangle , measure of the longest side is 12 cm. As we know that sum of measure of any 2 sides of triangle is greater than the measure of third side , the value of k should be more than 7cm because if the value of k would be 7 , then 5 + 7 = 12 and the sum will get equal to the measure of longest side , hence such triangle wont exist.

Atlast , the range of k is :-

[tex]7 < k < 17[/tex]

Answer:

8x

Step-by-step explanation:

perimeter is sum of all sides

square has 4 equal sides

each side measures '2x'

2x + 2x + 2x + 2x = 8x   or   4(2x) = 8x