Find the product: a) (5 – 2h) (3 + h) b)4p ^2 q ^2 (p ^2 – q ^2)

Answer:

1). 23, 8, 5, 10

2). x = 4

3). 18

4). 71

5). 48

6). 68

7). Look at picture

x = 7, y = 12 .... just sub the values of x and y into the appropriate spaces to find the other side lengths

Explanation:

1.

They are congruent triangles, therefore the measurements would be the same

2.

24x - 19 = 16x +13

8x = 32

x = 4

3.

8x - 37 = 5x + 17

3x = 54

x = 18

4.

4x + 19 = 6x - 7

2x = 26

x = 13

MN: 4x + 19

(4*13) + 19

= 71

5.

2x = 14

x = 7

CD: 7x - 1

(7*7) - 1

= 48

6.

3x + 4 = 5x -16

2x = 20

x = 10

JM = 3x + 4

= 34

ML = 34 (congruent triangles have same measurements)

34 + 34 = 68

Answer:

-273

Step-by-step explanation:

222- (99*5)

222-495

-273

Answer:

-273

(next time if their is options maybe also try and put them, it would help a lot)

Answer:

[tex] x = 18 [/tex]

[tex] y = 7.5 [/tex]

[tex] z = 7 [/tex]

Step-by-step explanation:

✍️[tex] (8x - 7) + (3x - 11) = 180 [/tex] (consecutive interior angles are supplementary)

Solve for x

[tex] 8x - 7 + 3x - 11 = 180 [/tex]

Add like terms

[tex] 11x - 18 = 180 [/tex]

Add 18 to both sides

[tex] 11x = 180 + 18 [/tex]

[tex] 11x = 198 [/tex]

Divide both sides by 11

✅[tex] x = 18 [/tex]

✍️[tex] (2y + 23) = (4y + 8) [/tex] (alternate interior angles are congruent)

Solve for y

[tex] 2y + 23 = 4y + 8 [/tex]

Collect like terms

[tex] 23 - 8 = 4y - 2y [/tex]

[tex] 15 = 2y [/tex]

Divide both sides by 2

✅y = 7.5

✍️[tex] (2y + 23) + (3z^2 - 5) = 180 [/tex] (linear pair angles)

Plug in the value of y

[tex] (2(7.5) + 23) + (3z^2 - 5) = 180 [/tex]

[tex] (15 + 23) + (3z^2 - 5) = 180 [/tex]

[tex] 38 + 3z^2 - 5 = 180 [/tex]

Add like terms

[tex] 3z^2 + 33 = 180 [/tex]

Subtract 33 from each side

[tex] 3z^2 = 180 - 33 [/tex]

[tex] 3z^2 = 147 [/tex]

Divide both sides by 3

[tex] z^2 = \frac{147}{3} [/tex]

[tex] z^2 = 49 [/tex]

Square both sides

[tex] \sqrt{z^2} = \sqrt{49} [/tex]

[tex] z = 7 [/tex]

Answer:

2.4x10^-2

Step-by-step explanation:

since this number is a decimal you will use a negative number above the 10...

Answer:

tan 68 degrees = b/60

60 * tan 68 degrees = b

b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths

Step-by-step explanation:

Hope it helps!

Answer:

tan 68 degrees = b/60

60 * tan 68 degrees = b

b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths

  . Step-by-step explanation:

Hope it helps!

Answer:

Step-by-step explanation:

What is the average of a set of numbers?

An average is a number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.

Given

September, $28.95;

October, $46.15;

November, $68.46;

December, $109.34;

January, $115.26;

February, $94.19;

March $75.66;

April, $51.97; and

May, $49.16.

Step two:

Total amount= 28.95+46.15+68.46+109.34+115.26+94.19+75.66+51.97+49.16= 639.14

Total number of monts= 9

Average= 639.14/9

Average= $71.01

|y+2| = 6

There are 2 cases possible -

1st case -

y + 2 = 6

y = 6 - 2

y = 4

2nd case -

- ( y + 2 ) = 6

- y - 2 = 6

- y = 6 + 2

- y = 8

y = -8

Answer:

3

Step-by-step explanation:

(4p-m)/4

m=-4 and p=2

Since you know what m and p represent, it shouldn't be hard to solve.

(4 [2] - [-4] )/4   The 4 would be positive since there are two negatives.

(8 + 4)/4 Do the work inside the parenthesis first...

(12)/4 now divide.

Answer:

I hope this helps

Step-by-step explanation:

plz mark brainliest

Answer: length=27, width 9

Step-by-step explanation: To solve this problem, you should set up an equation. The length is 3x, and the width is x. To find the perimeter of a triangle, you do length times two + width times two. So 6x+2x=72. 8x=72, x=9. Length is 27, width is 9.

Answer:

Length: 27cm

Width: 9cm

Step-by-step explanation:

Since the length of the rectangle is 3 times the width, we can assume the    width=x and the length=3x.

      P=72cm

     Perimeter= 3x+3x+x+x

Set the 2 equations equal to each other

   72=3x+3x+x+x

Solve for x

   72=8x

   9=x

Length=3x

   Length=9(3)

   Length=27

Width=x

   Width=9

Answer:

And, then what? rp?

Step-by-step explanation:

Answer: Elevators wer invented in 1880 by Elisha Otis's . They could carry cargo and people to higher floors. Now we see them everywhere, in places such as hospital, schools, malls, and even some houses.

Answer:

[tex]-\frac{1}{5} t^{15}[/tex]

Step-by-step explanation:

sry if im wrong

Answer: 164.32 miles

Step-by-step explanation:

Given that:

Weekly coverage :

Miles biked to the river = 0.86 miles

Miles biked along the river back home =. 2.3 miles

Total miles biked weekly:

(0.86 + 2.3) miles = 3.16 miles weekly

Number of weeks per year = 52

Miles biked yearly : (number of weeks per year * miles biked weekly)

= 52 * 3.16 miles

= 164.32 miles

Mrs endo will bike about 164.32 miles in a year.

Answer:

[tex]38.4\ \text{units of fuel/mile}[/tex]

10

Step-by-step explanation:

Let [tex]N[/tex] represent the number of rail cars on the train

Each rail car adds 2.2 units of fuel per mile.

Fixed fuel consumption is 12 units of fuel per mile

The function of fuel consumption per mile is

[tex]f(N)=12+2.2 N[/tex]

when

[tex]N=12[/tex]

[tex]f(12)=12+2.2\times 12\\\Rightarrow f(12)=38.4\ \text{units/mile}[/tex]

[tex]\boldsymbol{f(12)=38.4\ \text{units/mile}}[/tex]

[tex]f(N)=34\\\Rightarrow 12+2.2N=34\\\Rightarrow N=\dfrac{34-12}{2.2}\\\Rightarrow N=10[/tex]

So, the number of rail cars when [tex]f(N)=34[/tex] is 10.

The required first 3 terms of the sequence are 6, 2. -2.

Given that,
Then nth term of a sequence is 10-4n list the first 3 terms​ is to be determined.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
Nth term = 10 - 4n
For the first term, put n = 1
1 st term = 10 - 4 = 6
For the second term put n = 2
2nd = 10 - 8 = 2
For the third term put n = 3
3rd = 10 - 12 = -2

Thus, the required first 3 terms of the sequence are 6, 2. -2.

Learn more about arithmetic progression here: https://brainly.com/question/20334860
#SPJ2

Answer:

18.75 feet

Step-by-step explanation:

Step 1

we find the length of Philip's rectangular deck in yards

The ratio of the width to the length is 4 to 5.

Philip's rectangular deck is 5 yards wide.

Hence,

Hence:

4/5 = 5/x

Cross Multiply

4x = 5 × 5

4x = 25

x = 25/4

x = 6.25 yards

The length of Philip's field = 6.25 yards

Hint: 1 yard = 3 feet.

Converting the yard to feet

1 yard = 3 feet

6.25 yards = x

Cross Multiply

x = 6.25 × 3 feet

x = 18.75 feet

Therefore, the length of Philip's field in feet = 18.75 feet

Answer:

Step-by-step explanation:

This is just an improper fraction when done.

numerator: 50*4 + 1 = 200 + 1 = 201

denominator: 4

Answer: 201/4

Answer:

Randy is 48 years old

Sandy is 12 years old

Todd is 27 years old

Step-by-step explanation:

Given

Represent their ages with the first letters of their names:

[tex]R + S + T = 87[/tex]

[tex]R = 4 * S[/tex]

[tex]T = 15 + S[/tex]

Required

Determine their individual ages

We'll solve the above equations using substitution method of simultaneous equations

Substitute 15 + S for T and 4 * S for R in [tex]R + S + T = 87[/tex]

This gives:

[tex]4 * S + S + 15 + S = 87[/tex]

[tex]4 S + S + 15 + S = 87[/tex]

Collect Like Terms

[tex]4 S + S + S = 87 - 15[/tex]

[tex]6S = 72[/tex]

Divide through by 6

[tex]S = 72/6[/tex]

[tex]S = 12[/tex]

This implies that Sandy is 12 years old

Substitute 12 for S in [tex]R = 4 * S[/tex] and  [tex]T = 15 + S[/tex]

[tex]R = 4 * 12[/tex]

[tex]R = 48[/tex]

[tex]T = 15 + 12[/tex]

[tex]T = 27[/tex]

This implies that Randy is 48 years old and Todd is 27

Answer:

Right.

Step-by-step explanation:

The answer is right on edge2020 I just took the test.

The direction in which the parabola will open is; To the right

We are given;

The vertex of the parabola is at (0, 0)

Directrix of the parabola is x = -4

We know that when the vertex of the parabola is (0, 0) and the directrix is x = - a, the parabola will have the form;

y² = 4ax

Thus, we can conclude that the parabola opens towards the right.

Read more about Parabola at; https://brainly.com/question/17987697

Answer:

Step-by-step explanation:

n is perpendicular. - 1/(2/5) = - 5/2. n is the negative reciprocal of the given line.

m is neither.

p is parallel to the given line. For example y = 2/5x

and y = 2/5 x + 9  are parallel to each other.

Answer:

15/32

Step-by-step explanation:

First convert 1 1/3 to improper fraction:

  1 1/3 = 4/3

5/8 divided by 4/3 is same as...

  [tex]\frac{5}{8} * \frac{3}{4} = \frac{15}{32}[/tex]

Answer:

There is no solution because they are not equal

Step-by-step explanation:

3(x + 4) = 3(x - 5) cannot simply happen, as they are not equal.

Hope this helps!

Answer:

[tex]\huge\boxed{r=\dfrac{57}{5}\to r=11\dfrac{2}{5}\to r=11.4}[/tex]

Step-by-step explanation:

[tex]19=\dfrac{5}{3}r\to\dfrac{5}{3}r=19\qquad|\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{5}{3\!\!\!\!\diagup}r=19\cdot3\\\\5r=57\qquad|\text{divide both sides by 5}\\\\\dfrac{5r}{5}=\dfrac{57}{5}\\\\r=\dfrac{57}{5}\to r=11\dfrac{2}{5}\to r=11.4[/tex]

Step-by-step explanation:

Please mark me as the brainliest answer

Answer:

x^3 - 7x^2 + 72

Step-by-step explanation:

you just subtract both equations

Answer:

9

Step-by-step explanation:

1/5 of 30 is 6 or 30/5. 1/2 of 30 is 15 or 30/2. 6+15=21. 30-21=9

Answer:

Step-by-step explanation:

Given:

AB ≅ AD

AC ⊥ BD

To Prove:

ΔBAE ≅ ΔDAE      

                 Statements                        Reasons

1). AB ≅ AD and AC ⊥ BD             1). Given

2). AE ≅ AE                                   2). Reflexive property

3). ΔBAE ≅ ΔDAE                         3). HL postulate of congruence

Answer:

Step-by-step explanation:

18). Graph represent a function

19). Graph does not represent a function

Answer:

I don't fing know.

Step-by-step explanation:

Answer:

It would be 125 divided by 75.

all of the  lines in which light and heat may stream through from the sun or any luminous body, or pass through small openings.

Step-by-step explanation:

Answer:

Ray: Any of a set of straight lines passing through one point. Each of the lines in which light (and heat) may seem to stream from the sun or any luminous body, or pass through a small opening.

(I'm so sorry if this is wrong)

Hope this Helps!