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Kobotan [32]
3 years ago
13

(PLEASE HELP) Find the values of x and y

Mathematics
1 answer:
777dan777 [17]3 years ago
3 0

Answer:

x = 90, y = 43

Step-by-step explanation:

By the SAS theorem (as you can tell by the picture) angles B and C are similar, which means they are both 47 degrees.

Since the triangles are similar (SAS theorem) then angle x must be equal to 90 degrees, because they are on a straight line both angles would need to add up to 180 degrees.

Now that you have two angles out of three, you can solve for the last angle by setting up this equation:

B + D + A = 180

47 + 90 + A = 180

Add 47 and 90 together.

137 + A = 180

Subtract 137 from both sides.

A = 43

x = D and y = A, therefore x = 90 and y = 43.

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A solid cuboid is made from centimeter cubes how many centimeter cubes were used to make the cuboid
prisoha [69]

This question is incomplete because it lacks the appropriate diagram.

Please find attached this answer the appropriate diagram.

Kindly note that: The diagram was obtained from or referenced from Planes and Elevation (F) Version 3 January 2016.

Answer:

72 centimeter cubes

Step-by-step explanation:

Looking at the attached diagram, we are given 3 views of the cuboid

a) The plan view: The is the view of the cuboid from the top or a very high position

b) Front Elevation view: This is the view of the cuboid from the front

c) Side elevation view: This is the view of the cuboid from the side.

In the referenced and attached diagram,

The plan view shows us the top of the cuboid with a length of 4 and breadth of 6

The front elevation view shows us the front of the cuboid with a length of 3 and breadth of 4

The side elevation view shows us the side of the cuboid with a length is 3 and breadth of 6

We are told to find the number of centimeter cubes were used to make the cuboid. This means we are to find the volume of the cuboid.

Volume of a cuboid = Length × Width × Height

Combining the 3 views together,

The Length of the cuboid = 4

Width of the cuboid = 6

Height of the cuboid = 3

Volume of the cuboid = 4 × 6 × 3

= 72

Therefore, the number of centimeter cubes that were used to make the cuboid is 72.

5 0
3 years ago
What is the Fourth root of 32
geniusboy [140]
By calculator: it's 2.378

Since 2^5 = 32, so 32^(1/4) = 2^(5/4)
3 0
4 years ago
I’m lost please help
vagabundo [1.1K]

Answer:

See proof below

Step-by-step explanation:

Two triangles are said to be congruent if one of the 4 following rules is valid

  1. The three sides are equal
  2. The three angles are equal
  3. Two angles are the same and a corresponding side is the same
  4. Two sides are equal and the angle between the two sides is equal

Let's consider the two triangles ΔABC and ΔAED.

ΔABC sides are AB, BC and AC

ΔAED sides are AD, AE and ED

We have AE = AC and EB = CD

So AE + EB = AC + CD

But AE + EB = AB and AC+CD = AD

We have

AB of ΔABC  = AD of ΔAED

AC of ΔABC =  AE of ΔAED

Thus two sides the these two triangles. In order to prove that the triangles are congruent by rule 4, we have to prove that the angle between the sides is also equal. We see that the common angle is ∡BAC = ∡EAC

So  triangles ΔABC and ΔAED are congruent

That means all 3 sides of these triangles are equal as well as all the angles

Since BC is the third side of ΔABC and ED the third side of ΔAED, it follows that

BC = ED  Proved

5 0
2 years ago
Each of 8 samples has a different standard deviation . How many of the 8 samples could be from the same population ?
Lynna [10]
The answer is c you are welcome
5 0
3 years ago
Read 2 more answers
Which figure has a perimeter of 34 feet ?<br> Option(s):<br> A)<br> B)<br> C)<br> D)
ch4aika [34]
ANSWER: B

EXPLANATION:

Perimeter = L + L + W + W

Perimeter = 12 + 12 + 5 + 5

Perimeter = 34
6 0
2 years ago
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