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2 years ago

What would be the missing angle?

Mathematics

1 answer:

Korvikt [17]2 years ago

6 0

x = 60°

180 - 120 = 60

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State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.

never [62]

Answer:

Triangles ABC and MNO are similar by SSS

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional

In this problem

If this problem the corresponding sides are

AB and MN

BC and NO

AC and MO

Verify if the corresponding sides are proportional

$\frac{AB}{MN}=\frac{BC}{NO}=\frac{AC}{MO}$

substitute the given values

$\frac{5}{7.5}=\frac{5}{7.5}=\frac{8}{12}$

$0.67=0.67=0.67$ ----- is true

When two triangles have corresponding sides with identical ratios , the triangles are similar by SSS Similarity

therefore

Triangles ABC and MNO are similar by SSS

8 0

2 years ago

Find the indefinite integral. (Use C for the constant of integration.)

mart [117]

Answer:

$\int\ {(3x^2-2x+1)\,(x^3-x^2+x)^7} \, dx = \frac{1}{8} (x^3-x^2+x)^8+C$

tep-by-step explanation:

In order to find the integral:

$\int\ {(3x^2-2x+1)\,(x^3-x^2+x)^7} \, dx$

we can do the following substitution:

Let's call

$u=(x^3-x^2+x)$

Then

$du = (3x^2-2x+1) dx$

which allows us to do convert the original integral into a much simpler one of easy solution:

$\int\ {(3x^2-2x+1)\,(x^3-x^2+x)^7} \, dx = \int\ {u^7 \, du = \frac{1}{8} \,u^8 +C$

Therefore, our integral written in terms of "x" would be:

$\int\ {(3x^2-2x+1)\,(x^3-x^2+x)^7} \, dx = \frac{1}{8} (x^3-x^2+x)^8+C$

7 0

2 years ago

Evaluate the expression when a=-5 and c=3.<br> a-5c

Vinil7 [7]

Answer:

its either -20 or -7

Step-by-step explanation:

i believe its -20 tho hope it helps

8 0

3 years ago

Read 2 more answers

Write an expression that can be used to multiply 6x198 mentally

VashaNatasha [74]

6×100
6×90
6×8
hope this helps

7 0

3 years ago

Find the value of x...

Allushta [10]

Answer:

Step-by-step explanation:

3 0

2 years ago