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Ganezh [65]
3 years ago
5

Solve for X. Geometry

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
5 0

Answer:

x=12

Step-by-step explanation:

LM + MN = LN

2x-16 + x-9 = 11

Combine like terms

3x-25=11

Add 25 to each side

3x-25+25 = 11+25

3x = 36

Divide by 3

3x/3=36/3

x = 12

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A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type trimmer requires 2 hours to
Delvig [45]

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:

x + y ≤ 200

2x + 10y ≤ 1000

<h3>What is inequality?</h3>

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Total number of hours = 1000

Total number of trimmers = 200

Let x represent the number of cord-type models,

Let y represent the number of cordless models.

Now,

x + y ≤ 200

2x + 10y ≤ 1000

Thus,

The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:

x + y ≤ 200

2x + 10y ≤ 1000

Learn more about inequalities here:

brainly.com/question/20383699

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6 0
1 year ago
What happens when you multiply 2 negative numbers?
dalvyx [7]
1) either you'll get a negative number
Or
2) You'll get a positive Number..
But I'm guess you'll get a positive number
3 0
3 years ago
Read 2 more answers
What is the slope of the line shown below?
Harman [31]

Answer:

2

Step-by-step explanation:

Slope is often called rise/run.

This is the amount the line goes upwards, rise, compared to the amount it goes sideways, run.  

Compare the two shown points.  From the left point the the right, the rise is 6, while the run is 3, creating the rise/run of 6/3.  This is simplified to 2.

7 0
3 years ago
Read 2 more answers
1) You’re baking a circular cake for a party. Your cake can be any size you want. What will the radius of your cake be and how m
HACTEHA [7]
the correct question is
1. You’re baking a circular cake for a party. Your cake can be any size you want
2. What will the radius of your cake be and how many slices will you be able to cut?
3. List the coordinates of any point in the coordinate plane.For your original discussion post, you only need to respond to #1, #2, and #3.View posts from your classmates and choose one to which you will respond.

Answer the following questions:
1. For the cake that your classmate is baking, what would be the central angle of each slice of cake?
2. If you eat two slices of cake that are side by side, what is the measure of the arc that these two slices intercept?
3. What is the circumference of the cake?
4. A circle to represent the cake is graphed on the coordinate plane. What equation represents the cake if it is centered at the point that your classmate listed for #2?
This is what my classmate posted. 
1. The radius of my cake is 6 inches and I can cut 8 pieces.
2. (2,-3)


we know that
1) the radius of the cake is r=6 in and the cake will be cut into 8 pieces
2) the coordinates of any point in the coordinate plane is (2,-3)

part 1) what would be the central angle of each slice of cake?

The central angle of each slice would be found by dividing the total central angle of a circle (360°) by the number of slices (8), 
so:
360/8=45 degrees

the answer part 1) is
Each slice would have a central angle of 45°.

Part 2) If you eat two slices of cake that are side by side, what is the measure of the arc that these two slices intercept?

The degree measure of the intercepted arc would be 2*45°=90°

The length in inches of the intercepted arc could be found:
Circumference=2*pi*r-----> C=2*pi*6----> 12*pi in

if 360° (full circle) has a length of---------> 12*pi in
90°----------------------> x
x=90*12*pi/360----> x=3*pi in

the formula to calculate the arc length is
[central angle in degrees/360°]*2*pi*r

Part 3) What is the circumference of the cake?

Circumference=2*pi*r-----> C=2*pi*6----> 12*pi in----> 37.68 in

the answer part 3) is
the circumference of the cake is 12*pi in or 37.68 in

Part 4) A circle to represent the cake is graphed on the coordinate plane. What equation represents the cake if it is centered at the point that your classmate listed for #2?

we know that
the center is the point (2,-3)
the equation of a circle is
(x-h)²+(y-k)²=r²
where (h,k) is the center
and
r is the radius
so
(x-h)²+(y-k)²=r²------- (x-2)²+(y+3)²=6²----> (x-2)²+(y+3)²=36

 the answer part 4) is 
(x-2)²+(y+3)²=36

see the attached figure

3 0
3 years ago
2. Jacque Cousteau is in a submarine at a depth of 112m. The submarine is rising at a constant rate of 2 metres every 3 seconds.
Elena L [17]

I hope this makes sense!!!!

7 0
2 years ago
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