Answer:
There were (4x + 2) grapes in the bowl
Step-by-step explanation:
Here, we are interested in calculating the total number of grapes in the bowl.
We have 3 people sharing the total
Damien are x grapes
Jake ate 1 more than twice what Damien and that is (1 + 2x) grapes
Makayla ate 5 fewer grapes than Damien: So what Makayla ate is (x-5) grapes
And now, we have 6 grapes left.
To find the total number of grapes in the bowl, we need to add up all what they ate plus what is left.
Mathematically, that would be;
x + 1 + 2x + x -5 + 6
= 4x + 2
Answer:
option C. Angle BTZ Is-congruent-to Angle BUZ
Step-by-step explanation:
Point Z is equidistant from the vertices of triangle T U V
So, ZT = ZU = ZV
When ZT = ZU ∴ ΔZTU is an isosceles triangle ⇒ ∠TUZ=∠UTZ
When ZT = ZV ∴ ΔZTV is an isosceles triangle ⇒ ∠ZTV=∠ZVT
When ZU = ZV ∴ ΔZUV is an isosceles triangle ⇒ ∠ZUV=∠ZVU
From the figure ∠BTZ is the same as ∠UTZ
And ∠BUZ is the same as ∠TUZ
So, the statement that must be true is option C
C.Angle BTZ Is-congruent-to Angle BUZ
The question is missing the figure. So, the figure is attached below.
Answer:
C. 350 m
Step-by-step explanation:
Given:
Scale is given as:
1 unit : 25 meters
This means that 1 unit on the grid is equivalent to 25 meters in actual.
Now, from the figure, the horizontal distance across the park is 14 units.
1 unit = 25 meter
Now, we can find the actual distance using unitary method and thus multiplying 25 and 14 to get the actual distance across the park horizontally.
∴ 14 units =
meters.
Therefore, the horizontal distance across the park is 350 m in actual.
So, the correct option is option C.