Answer:
JML=142 degrees
Step-by-step explanation:
This shape is a rhombus, as all 4 sides are equal, but the angle measures are not. One of the properties of a rhombus is that opposite angles are congruent, and adjacent angles are supplementary. Only the second one is important. Since angles KLM and angle JML are supplementary, the equation KLM+JML=180 can be used. KLM is then substituted by the given angle measure, 38 degrees, to get an equation such as JML+38=180. Now, to solve for JML, 38 must be subtracted from both sides of the equation, which leaves teh answer of JML=142.
Answer:
2 x 3² x 5 x 11
Step-by-step explanation:
990 ÷ 2 = 495 so 2 is one factor
495 ÷ 2 = 247.5 - There is a remainder. So we can't divide by 2 anymore. Use next prime number
495 ÷ 3 = 165 - No remainder. So 3 is one factor
165 ÷ 3 = 55 - No remainder. So 3 is one factor
55 ÷ 3 = 18.3333 - There is a remainder. We can't divide by 3. Use next prime number
55 ÷ 5 = 11 - No remainder. So 5 is one factor
11 ÷ 5 = 2.2 - There is a remainder. We can't divide by 5. Use next prime number
11 ÷ 7 = 1.5714 - This has a remainder. So 7 is not a factor.
11 ÷ 11 = 1 - No remainder. SO 11 is one factor
Now put it together: 2 x 3² x 5 x 11
Factor trees also help. Have a good day or night
Answer:
y = -2x-14
Step-by-step explanation:
Answer:
56 1/4 yards
Step-by-step explanation:
Area of the tarp = length × width
Length = 8 1/3 yards
Width = 6 3/4 yards
Area of the tarp = length × width
= 8 1/3 yards × 6 3/4 yards
= 25/3 × 27/4
= (25 * 27) / (3 * 4)
= 675 / 12
= 56 1/4 yards
Area of the tarp = 56 1/4 yards
Answer:
z = 1
Step-by-step explanation:
Since this is an equation we can cross multiply the fractions
7/z = 84/12 ➡ 84×z = 7×12
84z = 84 divide both sides by 1
z = 1
