1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zmey [24]
3 years ago
12

Can anyone fill this sheet, I'm too confused by this subject and don't understand it. Any help would be much appreciated.

Mathematics
1 answer:
Slav-nsk [51]3 years ago
7 0

<u>Question 1</u>

Two triangles are said to be similar, if their sides are proportional and the corresponding angles are equal.

In the given figures, it is given that one of the angles is 80 degrees. So, the corresponding angle in the another triangle is also 80 degrees.

Also, please note that the triangles are isosceles.

We know that, in an isosceles triangle, the angles opposite to the equal sides are equal.

The equal angles are b and b.

By the angle-sum property, we have:

b + b + 80 = 180

2b + 80 = 180

2b = 180 - 80 = 100

b = 50 degrees.

Similar shapes have the same <u>angles.</u>

<u>Question 2:</u>

Even though the length of the second cuboid is twice the length of the first one, no information is given about the breadth and height.

Let b, c be the breadth and height of the first cuboid and B, H be the breadth and height of the second cuboid.

Now, we have two cases.

Case 1:  b = B and h = H

In this case, the volume of the first cuboid is length × breadth × height

= lbh

Volume of second cuboid = (2l) × b × h = 2lbh

So, Simon is correct about the volumes.      

Case 2:  b ≠ B or h ≠ H        

In this case, clearly the volumes will be different and Simon is wrong.

<u>Question 3:</u>

By Basic Proportionality Theorem and from corresponding part of similar triangles,

\frac{x}{10}=\frac{x+y}{20}

\frac{x}{10}= \frac{x}{20} + \frac{y}{20}

\frac{x}{10} - \frac{x}{20} = \frac{y}{20}

\frac{x}{20} = \frac{y}{20}

x = y

or x : y = 1 : 1

<u>Question 4:</u>

Since the jugs are irregular shapes, it is impossible to find their volumes only with known height.

You might be interested in
Find the measure of one interior angle of a regular 21-gon.
ExtremeBDS [4]
C step-by-step the coordinate of that is pretty simple to say but hard at the same time
5 0
1 year ago
Read 2 more answers
A fraction reduces to 36. If its denominator is 6x5, what is its numerator?
olchik [2.2K]
If you would like to find the numerator of a fraction, you can do this using the following steps:

denominator ... 6 * 5 = 30
numerator ... x = ?

36 = numerator / denominator
36 = x / 30
x = 36 * 30
x = 1080

The correct result would be 1080.
4 0
2 years ago
HELP ME!! plz? Combing like terms.
Bad White [126]

T: 8x+19

7x-2(4-2x)+6(5-x)-x+2-(6x+5) = 7x-8+2x+30+6x-x+2-6x-5 = 8x+19

Y: 56-8x

9-(-2-3x)+4(-x+6)-x+12-3(2x-3) = 9+2+3x-4x+24-x+12-6x+9 = 56-8x

5 0
3 years ago
PLZ HELP ASAP FOR BRAINLIEST
kykrilka [37]

Answer:

1/4

Step-by-step explanation:

You can set up ratios or fractions for the matching sides.

A/B

1/4 = 1/4

1.1/ 4/4= 1/4

1.5/6 = 1/4

5 0
2 years ago
Read 2 more answers
Use the triangle below to find the following trig ratios. Express your answer as a fraction.
Luda [366]

Answer:

Step-by-step explanation:

First we need the length of the hypotenuse.

20^2 + 21^2 = c^2

400 + 441 = c^2

841 = c^2

29 = c

If you are using angle B as your theta (angle from which the relations are formed:

a) sin = O/H = 20/29

b) cos = A/H = 21/29

c) tan = O/A = 20/21

5 0
2 years ago
Other questions:
  • PLEASE HELP What is the slope of the line passing through the points (-1, 7) and (4, - 1)?
    7·1 answer
  • 5x+y=-2 direct variation yes or no
    7·1 answer
  • X over 15 = 10 over 20
    5·1 answer
  • In a road-paving process, asphalt mix is delivered to the hopper of the paver by trucks that haul the material from the batching
    9·1 answer
  • If 7 sandwich rolls cost $1.26, how much will 25 rolls cost?
    9·1 answer
  • If y is directly proportional to x and if y = 20 when x = 6, what is the value of y when x = 9 ?
    5·1 answer
  • Which of the following expressions are equal to -58? Select all that apply
    15·2 answers
  • Least to greatest 63.37,62.95,63.7
    14·1 answer
  • I need to know how to solve 7/20=
    14·1 answer
  • I’ll really appreciate it if you help me out with this one .
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!