# Write -16.3 as a mixed number.

-690/1000

Step-by-step explanation:

## Related Questions

Plssss help congruent triangles exercises .

2. ASA can be used with the definition of an isosceles triangle

3. x = 5 5/6

Step-by-step explanation:

### 2.

Using the given information, the definition of an isosceles triangle tells us, ...

∠A = ∠C and ∠A = ∠ABM and ∠C = ∠CBN

By substitution, ∠ABM = ∠CBN. This lets us declare ΔAMB ≅ ΔCNB by ASA, where the sides between the angles are AB and CB.

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### 3.

If the angles of interest are the same, then the triangles are similar. That means corresponding sides have the same ratio:

x/7 = (10-x)/5

5x = 7(10 -x) = 70 -7x . . . . . multiply by 35, simplify

12x = 70 . . . . . . . . . . . add 7x

x = 70/12 = 35/6

x = 5 5/6

Write and solve an equation to find the value of x. PLS HELP!!

23.59 - 14.89 = x

x = 8.7

Step-by-step explanation:

To find x, you need to add all of the other sides and subtract it from the perimeter. 5.62 + 5.62 + 3.65 = 14.89.

23.59 - 14.89 = x, so x = 8.7

8.7

Step-by-step explanation:

Add all the numbers together (5.62, 5.62, and 3.65) then take away from the result (23.59) to get answer.

Simplify 3(2x + y) using the distributive property.

The simplification of the expression 3(2x + y is 6x +3y

### What is distributive property?

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

For example, a ( x +y) can be written in the form

ax + ay .

Similarly, simplifying 3(2x +y) using distributiveproperty means

3× 2x + 3 × y

= 6x + 3y

Therefore the simplification of the expression 3(2x + y) is 6x + 3y.

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the solution is just 6x+3y

thats all

A calzone is divided into 24 equal pieces. Sophie and Glenn each ate one-fourthof the calzone on Saturday. The next​ day, Glenn ate one-sixth
of the calzone that was leftover. How many of the pieces of the original calzone ​remain? Explain your reasoning.

10 pieces

Step-by-step explanation:

Total no. of pieces of calzone = 24

No of pieces of calzone eaten by sophie = 1/4 of Total no. of pieces of calzone  = 1/4 of 24 = (1/4)*24= 6 pieces.

No of pieces of calzone eaten by Glenn = 1/4 of Total no. of pieces of calzone  = 1/4 of 24 = (1/4)*24= 6 pieces.

Total no of pieces eaten by both of them on saturday = 12.

No of pieces of calzone left = 24-12 = 12

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No of pieces of calzone eaten by Glenn on next day = 1/6 of Total no. of pieces of calzone  left= 1/6 of 12 = (1/6)*12= 2 pieces

No of pieces of calzone left now after Glenn ate 2 of them = 12-2 = 10.

Thus 10 pieces  of original calzone are left  .

Simplify the quotient show the work 5 divided by nine

1.8 that is the best answer

0.56

Step-by-step explanation:

A quotient is a quantity produced by the division of two numbers.

5 / 9 = 0.555555556

0.555555556 = 0.56

If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third side of the triangle? Indicate all such lengths. [A] 3 [B] 5 [G] 8 [D] 15

According to the triangle inequality theorem, the third side of a triangle, given the other two sides, must be greater than the absolute difference and less than the sum of those sides. In this case, given sides 5 and 9, the possible third sides are 5 and 8.

### Explanation:

In Mathematics, particularly in the field of geometry, the triangle inequality theorem states that the length of one side of a triangle is always less than the sum of the lengths of the other two sides but more than the absolute difference of those lengths.

Given the lengths of two sides of the triangle are 5 and 9 respectively, the possible lengths of the third side are anything greater than 4 (9 - 5) and less than 14 (9 + 5). So among the choices given: [A] 3, [B] 5, [G] 8, [D] 15; only [B] 5 and [G] 8 could be the length of the third side of the triangle.

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In the triangle with sides 5 and 9, according to the triangle inequality theorem, the length of the third side must be between 4 and 14. Therefore, from the given options, only 5 and 8 could be the lengths of the third side.

### Explanation:

To find possible lengths for the third side of a triangle when lengths of two other sides are given, we can adhere to the triangle inequality theorem. This theorem states that the length of any side of a triangle must be less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

In this case, the given lengths are 5 and 9. So the possible length of the third side (let's denote it as x) should obey to: |5 - 9| < x < 5 + 9, that is 4 < x < 14.

Therefore, from the given options, [B] 5 and [G] 8 could be possible lengths for the third side of the triangle.