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frez [133]
3 years ago
5

Which additional fact proves that ΔRST and ΔWXY are congruent if ∠T ≅ ∠Y and RT ≅ WY.

Mathematics
2 answers:
evablogger [386]3 years ago
6 0

Answer:

"B" I just did it this will help you :-)

ikadub [295]3 years ago
4 0
<span>∠S = <span>2x/3</span> + 9
</span>
x+2+x+2x+4=180
x=45

Then,

∠X=x-6=45-6=39
<span>∠S=2x/3 + 9 = 2(45)/3 +9=30+9=39
</span>               ~
thus, ∠X = <span>∠S
triangles are congruent by AAS</span>
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A refrigerator box measures 11 feet by 6 feet by 6 feet Sam decides to fill up the box three-fourths with trash how much space w
IRINA_888 [86]

Answer:

297 feet

Step-by-step explanation:

11 × 6 × 6 = 396

396 × 3/4= 297 ft

3 0
3 years ago
Find the area of the missing piece of the polygon and explain your process for finding it:
Otrada [13]

Answer:

42

Step-by-step explanation:

In short, the sum of the opposite areas are equal.

x + 30 = 24 + 48

x = 42

To prove this, draw a line from each corner to the "center" where the four lines meet.  Along each side of the square are two triangles.  These triangles have the same base and the same height, and therefore have the same area.

If we say the triangles at the bottom have area a, the triangles on the left have area b, the triangles on top have area c, and the triangles on the right have area d, then we can write 4 equations:

a + b = x

b + c = 24

c + d = 30

a + d = 48

Adding the first and third equations:

a + b + c + d = x + 30

Adding the second and fourth equations:

a + b + c + d = 24 + 48

Therefore:

x + 30 = 24 + 48

x = 42

8 0
3 years ago
On a certain​ exam, Tony corrected 20 papers and found the mean for his group to be 70. Alice corrected the remaining 10 papers
son4ous [18]

Answer:

The mean of the combined group is 76.67 ≈ 77

Step-by-step explanation:

  1. The sum of the grades in Tom's group is 20×70 = 1400
  2. The sum of grades in Alice's group is 10×90=900
  3. The sum of gradees in the combined group is =1400+900=2300
  4. Then the mean grade of the combined group is \frac{2300}{30}=76.67

where

  • 2300 is the sum of the all grades in the combined group
  • 30 is the total number of people in the group
4 0
3 years ago
PLEASE HELP‼️‼️Drag the expression that is the most reasonable measurement for each object.
Afina-wow [57]

Answer:

<em>A. Length of a Tour Bus                       ↔     #2.      1.1 × 10¹ meters</em>

<em />

<em>B. Width of an apple                             ↔      #3.     4 × 10⁰ centimeters</em>

<em />

<em>C. Distance from Earth to a Satellite    ↔    #6.     8 × 10² kilometers</em>

<em />

<em>D. Thickness of a human hair               ↔     #5.      9 × 10¹ micrometers</em>

Explanation:

<u><em>A. Length of a tour bus.</em></u>

The length of a tour bus should be measured in meters. It sure is way less than 1 kilometer and way more than a few centimeters. It could be about some meters, more than 5 meters, may be between 10 meters and 15 meters.

The measurement in the box # 2. is 1.1 × 10¹ meters, which is equivalent to 1.1 × 10meters = 11 meters. Thus, this is a reasonable length.

<u><em>B. Width of an apple.</em></u>

The most appropiate unit to measure the width of an apple should be centimer. It certanly is shorter than 1 meter and bigger than 1 mm.

The width of an apple could be, more or less, around 8 centimeters. The only measurement in the boxes that is in that order is that in the box #3., 4 × 10⁰ centimeters, because 10⁰ = 1, so 4 × 10⁰ = 4 × 1 = 4centimeters.

<u><em>C. Distance from Earth to a Satellite</em></u>

The distance from Earth to a satellite should be measured in kilometers.

You can find in the internet that the distances of the satellites are between 700 kilometers and 36,000 kilometers.

The number in the box #1 is too big, in the order of ten trillions of kilometers, because one trillion is 10¹²; thus that is notreasonalbe (too big).

The number in the box #6 is  8 × 10² kilometers, which is equal to 8 × 100 = 800 kilometers.

Thus,  8 × 10² kilometers (box #6) is the most reasonable measurement for the distance from Earth to a Satellite

<u><em></em></u>

<u><em>D. Thickness of a human hair</em></u>

Of course, kilometers, meters, centimeters and even milimeters are units too big to measure the thickness of a human hair.

One micrometer is 10⁻⁶ meters or 10⁻³ milimeters.

In the internet you can find that diameter of the humar hairis in the range from 17 micrometers to 181 micrometers.

The measurement in the box #5. is 9 × 10¹ micrometers, which is equivalent to 9 × 10 = 90 micrometers.

Thus, 9 × 10¹ micrometers is the most reasonable measurement fot the thickness of a human hair.

7 0
3 years ago
Multiply.<br> (-0.3)(-0.85)
Neporo4naja [7]

Answer:

O.225

Step-by-step explanation:

Two negatives = positive

4 0
3 years ago
Read 2 more answers
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