Answer: Choice A
The triangles are congruent because both the corresponding sides of the triangles and the corresponding angles of the triangles are congruent.
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Explanation:
Congruent triangles are identical copies of one another. This means the corresponding pieces must be the same.
It's like saying two houses are identical, so that means the all the various parts (eg: front door, windows, etc) must be identical. If let's say the two front doors were different, then the houses wouldn't be completely identical.
Going back to the triangles, we know that the sides are congruent by the tickmarks
- side MN = side RS (single tickmark)
- side NP = side ST (double tickmarks)
- side MP = side RT (triple tickmarks)
That takes care of the first part of choice A.
And similarly, the angle markers tell us which angles are congruent
- angle M = angle R (single arc)
- angle N = angle S (90 degree angle marker)
- angle P = angle T (double arc)
That concludes the second part of choice A.
Answer:
Step-by-step explanation:
See pic.
Answer:
The temperature of the weather station was 3 degrees Celcius an hour earlier.
Step-by-step explanation:
We can say that the weather an hour ago should be represented with the variable - x.
From the problem, we know that the temperature of the station falls at a rate of -3 degrees per hour. This means that for every hour, the temperature of the place will go down by about 3 degrees Celsius.
If the temperature of the weather station is currently 0 degrees Celsius, to find its temperature an hour earlier, it means that we will need to add 3 degrees to its current temperature, because that is what must have lost in one hour.
i.e x = 0 + 3 = 3 degrees Celcius.
This means that the temperature of the weather station was 3 degrees Celcius an hour earlier.
9514 1404 393
Answer:
- 1656 acres left
- 644 acres sold
- $32,200,000
Step-by-step explanation:
1. The number of acres sold is ...
28% × 2300 = 0.28 × 2300 = 644
Then the number of acres Emmet has left will be ...
2300 -644 = 1656 . . . acres left
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2. Emmet sold 644 acres.
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3. At $50,000 per acre, the value of the land sold was ...
$50,000 × 644 = $32,200,000 . . . . paid by the developer
Alright, lets get started.
Maria hiked the 5 mile Mountain Trail a number of times and she hiked the 10 mile canal trail several times.
x times she hiked 5 mile mountain.
So, number of mils she hiked for 5 miles will be = 5 x
Similarly,
y times she hiked 10 mile canal,
So, number of miles she hiked for canal = 10 y
So, total number of miles she hiked = 
But as per question given, she had a total of 90 miles
It means
Dividing this equation with 5
So, the equation is : Answer
Hope it will help :)
