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liraira [26]
3 years ago
9

Apply the commutative property to 13 × 7 × 21 to rearrange the terms and still get the same solution.

Mathematics
1 answer:
fredd [130]3 years ago
3 0
D. 21x7x13 is the right answer

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Convert 1.43 g/mL to the unit g/m3.
viktelen [127]
1430000 is the answer to Converting 1.43 g/mL to the unit g/m3 Also, <span>1 ml = 1cm3 = 1E-6 m3 </span>
1.43/ml= 1.43E-6 g/m3 (1.43 x 10-6 g/m3) and 1.43 x 106 (grams / cubic meter) =0.15158 kg / m<span>3</span>
8 0
3 years ago
What is the measure of an angle if the measures of its two adjacent supplementary angles add up to 100°?
Sindrei [870]
<h3>Answer:  130</h3>

Explanation:

Let x be the unknown angle we want to find.

Let y be adjacent and supplementary to x. This means x+y = 180

Let z also be adjacent and supplementary to x. So x+z = 180 also

Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.

Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z

y+z = 100

z+z = 100

2z = 100

z = 100/2

z = 50

Therefore,

x+z = 180

x+50 = 180

x = 180-50

x = 130

8 0
3 years ago
I need help for Part A and B
Tamiku [17]

Step-by-step explanation:

A

The probability of wining is 1/4 so it's 25%. so if you win you either win one of 2 object, so we have to divide the chance of wining by the number of object, so (25%)/2

A it's ,12.5% chance of wining the mug

B yes, it will change if she pics the mug first, it will be 25% because it's guaranteed that she will get the mug if she wins

8 0
4 years ago
Find the missing side lengths leave your answer as a racials simplest form
Aleksandr-060686 [28]

Answer:

m=7\sqrt3

n=7

Step-by-step explanation:

Hi there!

We are given a right triangle (notice the 90°) angle, the measure of one of the acute angles as 60°, and the measure of the hypotenuse (the side OPPOSITE from the 90 degree angle) as 14

We need to find the lengths of m and n

Firstly, let's find the measure of the other acute angle

The acute angles in a right triangle are complementary, meaning they add up to 90 degrees

Let's make the measure of the unknown acute angle x

So x+60°=90°

Subtract 60 from both sides

x=30°

So the measure of the other acute angle is 30 degrees

This makes the right triangle a special kind of right triangle, a 30°-60°-90°  triangle

In a 30°-60°-90° triangle, if the length of the hypotenuse is a, then the length of the leg (the side that makes up the right angle) opposite from the 30 degree angle is \frac{a}{2}, and the leg opposite from the 60 degree angle is \frac{a\sqrt3}{2}

In this case, a=14, n=\frac{a}{2}, and m=\frac{a\sqrt3}{2}

Now substitute the value of a into the formulas to find n and m to find the lengths of those sides

So that means that n=\frac{14}{2}, which is equal to 7

And m=\frac{14\sqrt3}{2}, which simplified, is equal to 7\sqrt3

Hope this helps!

7 0
3 years ago
list the pair of congruent angles and the extended proportion that relations the corresponding sides for the similar polygons KL
kherson [118]

Answer:  

In Polygons KLMNP and HGFDC,

Angles K, L, M, N and P are corresponding to H, G, F, D and C,

And, Sides KL, LM, MN, NP and PK are corresponding to sides HG, GF, FD, DC and CH

If the two figures are similar then their corresponding sides and angles are congruent.

Therefore, If  Polygon KLMNP is similar to HGFDC,

Then, ∠ K ≅ ∠ H,  ∠ L ≅ ∠ G,  ∠ M ≅ ∠ F,  ∠ N ≅ ∠ D,   ∠ P ≅ ∠ C

And, KL ≅ HG,  LM ≅ GF,  MN≅FD,  NP≅DC,  PK≅CH

7 0
3 years ago
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