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2 years ago

If five more than three times x is equal to 32, find the value of x.

2 answers:

8 0

First let's make the equation:

3x + 5 = 32

Now, let's subtract both sides by 5:

3x + 5 = 32
-5 -5
3x = 27

Now divide both sides by 3

x = 9

Hope this helps!

Pie2 years ago

6 0

5 + (3x) = 32
-5 -5

3x = 27
/3 /3

x = 9

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List the sides of triangle ΔMNP in ascending order (shortest to longest) if: Chapter Reference a m∠M = 64°, m∠N = 48°

scoray [572]

The given angles are
M = 64
N = 48
where P is unknown. While we don't know P at first, we can solve for it. Recall that for any triangle, the three angles always add to 180 degrees

M+N+P = 180
64+48+P = 180
112+P = 180
112+P-112 = 180-112
P = 68

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

So in summary so far
M = 64
N = 48
P = 68

The shortest side is opposite the smallest angle. The side MP is opposite the smallest angle N = 48

The longest side is going to be opposite the largest angle. In this case, side MN is opposite the largest angle P = 68

The medium side is opposite the medium angle. So NP is the medium side length

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

Final Answers:
Shortest Side = MP
Medium Side = NP
Longest Side = MN
See the attached image for a visual summary

The ascending order would be: MP, NP, MN

Note: Something like MP is the same as PM. The order of endpoints for any given individual segment doesn't matter

6 0

2 years ago

Square of (1\4A+1\4B)^2

miskamm [114]

Answer:4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1

Step-by-step explanation:

Factor 4a^2-4a+1. 4a2 − 4a + 1 4 a 2 - 4 a + 1. Rewrite 4a2 4 a 2 as (2a)2 ( 2 a) 2. (2a)2 − 4a+1 ( 2 a) 2 - 4 a + 1. Rewrite 1 1 as 12 1 2. (2a)2 − 4a+12 ( 2 a) 2 - 4 a + 1 2. Check that the middle term is two times the product of the numbers being squared in the first term and third term. 4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1.

7 0

2 years ago

Find the volume of a sphere with a radius of about 6 cm, what is its surface area?

bulgar [2K]

Pretty sure it’s 452.39cm2

6 0

2 years ago

Read 2 more answers

Answer each question below.

HACTEHA [7]

Answer:

$\huge\boxed{\sf L = 78\°}$

Step-by-step explanation:

<h3>Given that:</h3>

Exterior angle of L = 5x + 12

M = 3x - 2

N = 50

<h3>Statement:</h3>

Exterior angle is equal to the sum of non-adjacent interior angles.

So, the exterior angle that is adjacent to L is equal to the sum of non-adjacent sides (M and N) of the triangle.

Here,

Exterior angle of L = M + N

5x + 12 = 3x - 2 + 50

5x + 12 = 3x + 48

Subtract 12 to both sides

5x = 3x + 48 - 12

5x - 3x = 36

2x = 36

Divide 2 to both sides

x = 18

So,

<h3>Measure of angle M:</h3>

= 3x - 2

= 3 (18) - 2

= 54 - 2

= 52°

Now,

<h3>Measure of angle L:</h3>

We know that,

Sum of all the interior angles of triangle is 180 degrees.

L + M + N = 180°

L + 52 + 50 = 180

L + 102 = 180

Subtract 102 to both sides

L = 180 - 102

L = 78°

$\rule[225]{225}{2}$

7 0

1 year ago

F + 2.5= 3f + 7.24 (What first step would you do to solve for f? )

Step2247 [10]

Step-by-step explanation:

We have our question.

f + 2.5= 3f + 7.24

Then you combine like terms that taking the coefficients apart.

That is,

NOTE: WHEN TAKING A NUMBER ACROSS AND EQUAL SIGN THE SIGN CHANGES, E.G - TO + .

f - 3f = 7.24 - 2.5

-2f = 4.74

Divide both sides by coefficient of f which is -2

-2f = 4.74

-2 -2

f = 8.49

8 0

2 years ago

Read 2 more answers