Answer: Yes, there are congruent.
Step-by-step explanation: A triangle is congruent if the <em><u>same shape and size.</u></em> In this figure, they're congruent.
<h2><u><em>I hope this helps you! </em></u></h2>
<u>What we know</u>:
- Bird feeder capacity: --> 2 4/5 cups
- Samantha's scoop capacity: --> 7/10 cups
<em>Lets first convert the mixed partial fraction --> improper fraction</em>
<em> --> for easier calculation</em>
<em />
<u>After Conversion:</u>
- Bird feeder capacity: --> 14/5 cups
- Samantha's scoop capacity: --> 7/10 cups
<u>To find how many scoops of birdseed will Samantha put into the feeder we must:</u>
--> divide the total capacity by the scoop's capacity
--> find the number of scoops:
<u>Solve:</u>

Thus the total number of scoops that Samantha will put into the bird feeder is <u>4</u>
<u></u>
<u>Answer: 4</u>
<u></u>
Hope that helps!
Answer:
- 109°, obtuse
- 131°, obtuse
- 53°, acute
- 124°, obtuse
Step-by-step explanation:
You are exected to know the relationships of angles created where a transversal crosses parallel lines.
- Corresponding angles are equal (congruent).
- Adjacent angles are supplementary, as are any linear pair.
- Opposite interior (or exterior) angles are equal (congruent).
The appearance of the diagram often gives you a clue.
You also expected to know the name (or category) of angles less than, equal to, or greater than 90°. Respectively, these are <em>acute</em>, <em>right</em>, and <em>obtuse</em> angles.
1. Adjacent angles are supplementary. The supplement of the given angle is 109°, so x will be obtuse.
2. Opposite exterior angles are equal, so y will be 131°. It is obtuse.
3. Opposite interior angles are equal, so w will be 53°. It is acute.
4. Corresponding angles are equal, so x will be 124°. It is obtuse.
Here's how to convert 0.16666 to a fraction...
There is not much that can be done to figure out how to write 0.16666 as a fraction, except to literally use what the decimal portion of your number, the .16666, means.
Since there are 5 digits in 16666, the very last digit is the "100000th" decimal place.
So we can just say that .16666 is the same as 16666/100000.
The fraction 16666/100000 is not reduced to lowest terms. We can reduce this fraction to lowest
terms by dividing both the numerator and denominator by 2.
Why divide by 2? 2 is the Greatest Common Divisor (GCD)
or Greatest Common Factor (GCF) of the numbers 16666 and 100000.
So, this fraction reduced to lowest terms is 8333/50000
So your final answer is: 0.16666 can be written as the fraction 8333/50000
I did the work for you. I also showed my work. Hope it helped