Use the image to answer the question.
An illustration shows 2 bars. The first bar is divided vertically into 4 equal parts, and 3 parts are shaded. The second bar is divided vertically into 6 equal parts, and 5 parts are shaded.
Add the fractions from the picture provided to create a mixed number.
(1 point)
1. Are the two indicated angles adjacent? Why or why not? Answer: No, the two indicated angles do not share a common ray.
2. What is the measure of ∠TSV? Answer: 103°
3. What is an equation for these two adjacent angles? Answer: (2x + 3)° + (x-6)° = 180
4. Two adjacent angles, ∠1 and ∠2, form a resulting angle with measure 135°. If m∠1 = (2x)° and m∠2 = (2x+7)°, what are the two unknown angle measures? Answer: m∠1 = 64°, m∠2 = 71°
5. A figure displays two complementary nonadjacent angles. If one of the angles has a measure of 39°, what is the other angle measure? Answer: 51
6. A figure shows two nonadjacent angles with measures (2x+3)° and 2x°. If the angles are complementary, what is the equation for the angle measures? Answer: (2x + 3)° +2x° = 90°
7. Two complementary angles have measures (2x)° and (3x)°. What is the value of x and the two angle measures? Answer: x = 18, (2x)° = 36°, and (3x)° = 54°
8. Angles j and k are supplementary angles. What is m∠j if m∠k = 117°? Answer: 63°
9. Two supplementary angles have measures m∠ABC = 105° and m∠CBD = (3x−24)°. What is the equation to solve for x? Answer: (3x - 24)° + 105° = 180°
10. Two angles are supplementary with measures m∠ACB = 4x° and m∠BCD = (6x + 50)°. What is the measure of ∠ACB? Answer: m∠ACB = 52°
11. Which angle is a vertical angle with ∠5? Answer: 8
12. If m∠2 = 47°, what is m∠4? Answer: 43°
13. m∠5 = 112° and m∠8 = (2x+8)°. What equation will solve for x? Answer: 2x° + 8° = 112°
14. For two vertical angles with measures m∠1 = (2x + 26)° and m∠3 = (3x + 32)°, what is the measure of each angle? Answer: 14
15. Write it yourself.
HOPE THIS HELPSS
To add the fractions from the picture provided, we need to find a common denominator for the fractions. In this case, the common denominator is 12 because both 4 and 6 can be evenly divided by 12.
For the first bar, 3 out of 4 parts are shaded. This can be represented as 3/4.
For the second bar, 5 out of 6 parts are shaded. This can be represented as 5/6.
To find the sum of these fractions, we need to have the same denominator for both fractions. We can do this by multiplying the numerator and denominator of the first fraction (3/4) by 3, and the numerator and denominator of the second fraction (5/6) by 2:
(3/4) * (3/3) = 9/12
(5/6) * (2/2) = 10/12
Now that both fractions have a denominator of 12, we can add them:
9/12 + 10/12 = 19/12
Since the numerator is greater than the denominator, we have an improper fraction. To convert it to a mixed number, we divide the numerator by the denominator and write the remainder as a fraction:
19 ÷ 12 = 1 remainder 7
Therefore, the mixed number is 1 7/12.
@ womp womp tysm helped so much!
The mixed number formed by adding the fractions from the picture is 1 and 3/4 or 1.75.
that's not right
Apologies for the incorrect response. Let's reevaluate the image.
The first bar is divided into 4 equal parts, and 3 parts are shaded. Therefore, the fraction representing the shaded portion is 3/4.
The second bar is divided into 6 equal parts, and 5 parts are shaded. Hence, the fraction representing the shaded portion is 5/6.
To add these fractions, we need a common denominator. The least common multiple of 4 and 6 is 12.
Converting 3/4 to twelfths: multiplying the numerator and denominator by 3, we get 9/12.
Converting 5/6 to twelfths: multiplying the numerator and denominator by 2, we get 10/12.
Adding these fractions: 9/12 + 10/12 = 19/12.
To convert this improper fraction to a mixed number, we divide the numerator (19) by the denominator (12). The quotient is 1, with a remainder of 7. Therefore, the mixed number is 1 and 7/12 or 1.58 (rounded to two decimal places).