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Brrunno [24]
3 years ago
6

Solve it step by step

Mathematics
1 answer:
tino4ka555 [31]3 years ago
7 0

The interior angles of any triangle sum to 180°, so

(12<em>x</em> + 2) + 26<em>x</em> + (6<em>x</em> + 2) = 180

44<em>x</em> + 4 = 180

44<em>x</em> = 176

<em>x</em> = 176/44 = 4

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as a gift, you fill the calendar with packets of chocolate candy. Each packet has a volume of 2 cubic inches. Find the maximum n
qaws [65]
The picture of the calendar is shown in the attached image.

Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth 
Therefore:
Volume of prism = 1/2 * base * height * depth
where:
base = 4 in
height is he height of the base = 6 in
depth is the depth of the calendar = 8 in
Therefore:
Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3

Now, we are given that the volume of each candy is 2 in^3, this means that:
number of candies to fill the calendar = volume of calendar / volume of candy
                                                            = 96/2 
                                                            = 48 candies

Hope this helps :)

4 0
4 years ago
Solve the equation : 3x - 2 = 4x + 5<br>How many solutions are there?​
Nookie1986 [14]

Answer:

one solution

Step-by-step explanation:

Given

3x - 2 = 4x + 5 ( subtract 4x from both sides )

- x - 2 = 5 ( add 2 to both sides )

- x = 7 ( multiply both sides by - 1 )

x = - 7 ← the one solution

8 0
3 years ago
Read 2 more answers
I need help please ​
mote1985 [20]
X=1/2-3y/4
and
x=10/3+2y/3
5 0
3 years ago
HELP NEEDED ASAP!
Natali5045456 [20]
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8 0
3 years ago
What is the value of x?
frez [133]

\left\{\begin{array}{ccc}x+2y=4&\text{multiply both sides by 5}\\4x-5y=42&\text{multiply both sides by 2}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}5x+10y=20\\8x-10y=84\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad13x=104\qquad\text{divide both sides by 13}\\\\\boxed{x=8}\\\\Answer:\ \boxed{\boxed{x=8}}

5 0
3 years ago
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