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Arte-miy333 [17]
3 years ago
13

SOMEONE HELP BECAUSE I DONT GET THIS

Mathematics
2 answers:
fredd [130]3 years ago
7 0

7x+40 = 3x+112

x=18

7(18)+40

<A = 166

Leno4ka [110]3 years ago
6 0

Answer:

x = 18

m<A = 166°

Step-by-step explanation:

The parallel lines are cut by a transversal, so corresponding angles A and B are congruent.

7x + 40 = 3x + 112

4x = 72

x = 18

m<A = 7x + 40 = 7(18) + 40 = 126 + 40 = 166

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The volume of the rectangular prism is 648 feet. The rectangular base is 6 feet by 9 feet. What is the height of the prism?
IrinaK [193]

Answer:

h=12ft

Step-by-step explanation:

The formula one would use for finding the volume of a rectangular prism is as follows:

  • Volume = length × width × height , V=l*w*h

With this in mind, let's plug in the given variables in the question for this formula.

V=648ft^3

l=6ft

w=9ft

h= ?

  • We don't know the height, but that's just fine. We will plug in all our values and isolate h.

V=lwh\\648ft^3=(6ft)(9ft)h

  • I'm leaving in units just because I want to show that units aren't just for show. They can be used when in doubt of how to go about your math.

648ft^3=(6ft)(9ft)h\\648ft^3=(54ft^2)h\\\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}

  • Notice, that the units on the left side cancel out, leaving only the unit ft left next to the solution. In the same way, the units on the right side cancel out too, leaving only h, height.

\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}\\12ft=h

If involving units only confuses you, like it does for me, you can remove them like so, you just need to know what units your solution uses instead of being able to come to the proper units by using math.

V=lwh\\648=(6)(9)h\\648=54h\\\frac{648}{54}=\frac{54h}{54}\\12ft=h

5 0
3 years ago
Sort the systems of equations into the appropriate bins that describe their solutions.
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The last one is no solutions and the first on is <span>infinitely many solutions and the second one is one solution. I am pretty sure! Hope this helps!</span>
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Type the next number in this sequence:<br> 6,7,10,15, 22,
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Answer:

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The endpoints of a side of rectangle ABCD in the coordinate plane are at A(2, 4) and
nadezda [96]

Answer:

  y = -x +6

Step-by-step explanation:

The 2-point form of the equation for a line through points (x1, y1) and (x2, y2) is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

For your given points, this is ...

  y = (1-4)/(5-2)(x -2) +4 . . . . with given points filled in

  y = -1(x -2) +4 . . . . . . . . . . . simplify a bit

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3 years ago
A class conducts a survey of 1,000 students the survey reveals that 20% of the students speak Spanish. How many students speak S
Misha Larkins [42]

Answer:

200 students

Step-by-step explanation:

From the question;

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Required to determine the number of students that speak Spanish;

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Therefore, the number of students that speak Spanish is 200

7 0
3 years ago
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