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lora16 [44]
2 years ago
11

°The angle measurements in the diagram are represented by the following expressions.

Mathematics
1 answer:
stiks02 [169]2 years ago
8 0

Step-by-step explanation:

8x-10=3x+90

=5x=100

=x=20

therefore

B=3(20)+90

150°

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-4x&lt;20<br> X&lt;-5<br> Describe the error that she made <br><br> What the answer
gizmo_the_mogwai [7]

Answer:

your supposed to flip the sign for the less than or greater than sighs when dividing by a negative.

Step-by-step explanation:

-4x←20

x→-5

3 0
3 years ago
Given N is between M and P. If MP = 15 and MN = 6, determine NP
cluponka [151]

Answer:

NP= 9

Step-by-step explanation:

MP = 15

MN = 6

Let NP be x

MN+NP=MP

6+x=15

x=15-6

x=9

The value of NP is 9

4 0
3 years ago
POSSIBLE POINTS: 2
serious [3.7K]

Answer:  max capacity is 1625 gallons.

Diagram is shown below.

=========================================================

Explanation:

We'll draw two horizontal number lines to help make a comparison or connection between percentages and tank capacity.

For the top number line, make 5 sections with the labels: 0%, 20%, 40%, 60%, 100%. The reason I'm picking 5 is because 40% = 40/100 = 2/5. So having 40% capacity means we're 2/5 full. That denominator 5 tells us how to subdivide each number line.

The bottom number line will also have 5 sections. We only know one label for this bottom portion right now. That label is 650. Place this directly under the "40%". This visually is one way to represent that 650 gallons is 40% filled. See the diagram below.

Cut the 650 in half to get 325. This corresponds to 40% cut in half to get 20%. Therefore, 325 will go under the 20%. Being 20% full means we have 325 gallons of water.

To figure out the 60% portion, we will multiply 325 by 3. This is because 3*20% = 60%, so 3*325 = 975. We'll write "975 gallons" under the "60%"

Then we have 1300 gallons under the 80% since 4*325 = 1300. Note how 4*20% = 80%, so that's where the '4' multiplier comes from.

Finally, we multiply 325 by 5 to get 1625 and that represents the full tank's capacity. Technically we could have just jumped to this directly without having to find the 60% or 80% capacity values, but it's good practice I think.

Again the diagram is shown below. The answer we're after is at the very bottom right corner. It's under the 100% to indicate the tank is completely full, or has reached max capacity.

-----------------------

Here's a way to find the answer without a double number line. This method involves setting up a proportion.

(40% full)/(650 gallons) = (100% full)/(x gallons)

40/650 = 100/x

40x = 650*100

40x = 65000

x = 65000/40

x = 1625

We confirm that the tank's max capacity is 1625 gallons.

4 0
3 years ago
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