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Colt1911 [192]
3 years ago
15

What are the measures of ∠CAB and ∠ACB in the figure?

Mathematics
1 answer:
Phoenix [80]3 years ago
7 0

Answer:

See below

Step-by-step explanation:

(7x +3) is the same as angle opposite B

So 7x+3 will equal 103 degrees.

To figure out angle ACB we just take a straight line (180 degrees) and minue 103, which gives us 77 degrees

ACB = 77 degrees

Now we will just isolate x so we can figure out it's value for angle CAB

7x = 103 - 3

7x = 100

x = 100/7

x = roughly 14.3

CAB = 3x - 10 = (14.3 * 3) - 10

= 43 - 10

CAB = 33 degrees

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How large an equilateral triangle can you fit inside a 2-by-2 square?
nekit [7.7K]

Answer:

An equilateral triangle with a length of 2

Step-by-step explanation:

A 2-by-2 square implies that the square has a length and width of 2. Since equilateral triangles have the same length for all sides, it tells you that if one side is a certain length, all the other sides must have the same length. The largest length we can fit into this square would be 2 because any larger, the sides of the triangles would not fit into the square. Under the assumption that the length needs to be a whole number, the answer would be 2.

3 0
2 years ago
a store received 500 containers of milk to be sold by Febuary 1. Each container the store sold $0.83 and sold for $1.67. The sto
FrozenT [24]
$409.80.

The amount of net profit the store makes on each container is given by 1.67-0.83 (the amount it is sold for subtracted by the amount it costs the store), which is $0.84 per container.  They sell 470 containers, so the net profit at this point is 470(0.84) = $394.80.

However, since the distributor is giving the store a $0.50 refund on all every container under 500 that the store sells, the store gets additional money back:

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6 0
3 years ago
Solve for x.4(2x + 3) = 3x + 3 + 2x
ElenaW [278]

Answer:

The value of x is -3.

Explanation:

Given the equation:

4\mleft(2x+3\mright)=3x+3+2x​

Step 1: Distribute 4 in the left-hand side.

\begin{gathered} 4\mleft(2x)+4(3\mright)=3x+3+2x​ \\ 8x+12=3x+2x​+3 \\ 8x+12=5x​+3 \end{gathered}

Step 2: Collect like terms.

\begin{gathered} 8x-5x=3-12 \\ 3x=-9 \end{gathered}

Step 3: Divide both sides by 3.

\begin{gathered} \frac{3x}{3}=-\frac{9}{3} \\ x=-3 \end{gathered}

The value of x is -3.

3 0
1 year ago
Help plz i dont know what to do the question is in the picture
irinina [24]

Answer:

4 in.3 and 12 cubic yards

Step-by-step explanation:

3 means three sides that a volume has and 2 means its a cube or rectangle shaped figure which i think has 2 sides. cubic means 3 as well that describes volume.

I searched this up

7 0
3 years ago
Find the vertex of the graph of the following quadratic equations y=2x^2-8x+9
bija089 [108]
It’s 2 using the rule -b/2a —> 8/4=2
6 0
3 years ago
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