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rodikova [14]
3 years ago
5

(GEOMETRY. REAL HELP PLS) Triangle DEF is an isosceles, so DEF = DFE.

Mathematics
2 answers:
alexandr1967 [171]3 years ago
7 0
Angles on a straight line add up to 180° so all you have to do is:

180 - 75 = 105

So CFD = 105°
kakasveta [241]3 years ago
4 0

Answer:

The Value of Angle CFD is 105°

Step-by-step explanation:

As you mentioned in the question, Triangle DEF is an isosceles triangle so angles DEF and DFE have the same degree value. If Angle DEF measures 75° then Angle DFE measures 75° as well.

A straight line has an Angle of 180°. Seeing as how CFE is a straight line and Angle DFE is 75°. We can subtract 75° from 180° in order to get the Angle CFD.

180-75 = 105

So the Value of Angle CFD is 105°

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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Tamika has two bags of trail mix. Each has a combination of 60 pieces of fruit and nuts. Ratio of fruit to nuts in the first bag
madam [21]

Answer:

the second bag because the ratio is greater

Step-by-step explanation:

Bag1

fruits 3 : 5 nuts so 3+5=8 and 60/8=7.5 but 7.5*3=22.5

ratio is 3/5=0.428

Bag2

fruits 7 : 10 nuts so 10+7=17 and (60/17)*7 ≈ 24.7

ratio is 7/10=0.7

4 0
3 years ago
Read 2 more answers
Round to the nearest tenth ​
Mandarinka [93]

Answer:

Step-by-step explanation:

Say you wanted to round the number 838.274. Depending on which place value you'll round to, the final result will vary. Rounding 838.274:

Rounding to the nearest hundred is 800

Rounding to the nearest ten is 840

Rounding to the nearest one is 838

Rounding to the nearest tenth is 838.3

Rounding to the nearest hundredth is 838.27

Basic Rules of Rounding

When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same:

Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.

Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.

If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is. Any digits after that number (including the next smallest place value you just looked at) become zeros, or drop-off if they're located after the decimal point. This is called rounding down.

If the next smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you increase the value of the digit you're rounding to by one (+1). Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called rounding up.

Round to the Nearest Hundred: 3250

Identify the hundreds digit: the 2 in 3250

Identify the next smallest place value: the 5 in 3250

Is that digit greater than or equal to five? Yes, so round up.

Increase the hundreds digit by one, so 2 becomes 3. Every digit after becomes a zero.

3250 rounded to the nearest hundred is 3300

Round to the Nearest Ten: 323.5

Identify the tens digit: the 2 in 323.5

Identify the next smallest place value: the 3 in 323.5

Is that digit greater than or equal to five? No, so round down.

The tens digit stays the same at 2. Every digit after becomes a zero. Digits after the decimal point are dropped.

323.5 rounded to the nearest ten is 320

Round to the Nearest Ten: 499

Identify the tens digit: the first 9 in 499

Identify the next smallest place value: the second 9 in 499

Is that digit greater than or equal to five? Yes, so round up.

The tens digit increases by one. Since 9+1=10, you need to carry the 1 and add it to the digit in the hundreds place. Each digit after becomes a zero.

499 rounded to the nearest ten is 500

Round to the Nearest Tenth: 0.74

Identify the tenths digit: 7 in 0.74

Identify the next smallest place value: the 4 in 0.74

Is that digit greater than or equal to five? No, so round down.

The tenths digit stays the same at 7. Since the remaining digits are after the decimal point you just drop them.

0.74 rounded to the nearest tenth is 0.7

Round to the Nearest Hundredth: 3.141

Identify the hundredths digit: the 4 in 3.141

Identify the next smallest place value: the second 1 in 3.141

Is that digit greater than or equal to five? No, so round down.

The hundredths digit stays the same at 4. Drop the digits to the right of 4.

3.141 rounded to the nearest hundredth is 3.14

5 0
3 years ago
Animals were trapped in a city and later released into the wild. A random sample of the data is provided in the table below.
Fynjy0 [20]

Answer:

c

1,400

Step-by-step explanation:

We take the sample proportion of skunks and estimate for the entire population.

Sample:

140 skunks out of 230 + 140 + 120 = 490 animals.

140/490 = 0.28571428571

If a random sample of 5,000 animals are trapped in the city, how many skunks would be estimated to be included?

0.28571428571 out of 5000. So

0.28571428571*5000 = 1429

Close to 1400, which means that the answer is given by option C.

6 0
2 years ago
Determime whether each of the following is a prime or composite number
mr_godi [17]
Hi! Since prime numbers only have 1 and themselves as factors, 101 would be prime. 123 has factors of 1,3,41,123, so it would classify as a composite number. I hope this helps!:)
5 0
3 years ago
What is the volume of this rectangular prism?
salantis [7]

Answer:

1cm³

Step-by-step explanation:

You do not need a calculator for this.

The formula for the volume of a rectangular prism is:

Length × Width × Height = Volume

If we substitute our numbers in:

5/4 × 4/3 × 3/5 = 1cm³

All you need to do is multiply across.

5 × 4 × 3 = 60

4 × 3 × 5 = 60

The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.

60/60

8 0
3 years ago
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