Answer:
5 hours
Step-by-step explanation:
6:10 - 1:10 = 5
They are same side interior angles and same side interior angles are supplementary (add up to 180 degrees).
So, 6x+12+4x+18=180
Combine like terms:
10x+30=180
Subtract 30 from both sides:
10x=150
Divide both sides by 10:
x=15.
Therefore, the angles are same-side interior angles and x=15.
Answer:
480 pounds.
Step-by-step explanation:
By proportion:
8/3 = x/180 where x is the weight on Jupiter.
Cross multiply:
3x = 8*180
3x = 1440
x = 480 pounds.
Answer:
The triangles are congruent by congruency theorem SAS.
Step-by-step explanation:
Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.
Answer:
5
Therefore, she must get 5 points from the last quiz to have a mean score of 4
Step-by-step explanation:
Mean is the average of a set of data, it is the sum of the data divided by the number of data.
To have a mean of 4 from 4 quizzes;
Let x represent the total;
mean = x/4
4 = x/4
x = 4 × 4 = 16
To have a mean of 4 he must have a total score of 16.
Let y represent her score in the last quiz;
16 = 4+3+4+y
16 = 11+y
y = 16-11 = 5
Therefore, she must get 5 points from the last quiz to have a mean score of 4
