State if the two triangles are congruent. if they are, state how you know

How can conversion of measurements help me solve real world problems

jeka57 [31]

In different parts of the world people use different units. Being able to convert will help me understand and fit into their surroundings. Like for instance in Canada people measure speed in kilometers, so their speed limits are written in kmph. While in America the speed is measured in miles so Mph. Knowinf=g the conversions can help you drive safely and not get a ticket.
Hope that was what you were expecting.

6 0

3 years ago

The equations x + 5 y = 10, 3 x minus y = 1, x minus 5 y = 10, and 3 x + y = 1 are shown on the graph below. On a coordinate pla

natita [175]

Answer:

The question is missing, so I will answer all the solution for each possible system of two equations.

Step-by-step explanation:

The equations

x + 5 y = 10 (red)

3 x - y = 1 (blue)

x - 5 y = 10 (green)

3 x + y = 1 (purple)

are shown in the picture atatched. The intersection between two lines is the solution of their system.

system:

x + 5 y = 10 (red)

3 x - y = 1 (blue)

solution: (0.938, 1.813)

system:

x + 5 y = 10 (red)

x - 5 y = 10 (green)

solution: (10, 0)

system:

x + 5 y = 10 (red)

3 x + y = 1 (purple)

solution: (-0.357, 2.071)

system:

3 x - y = 1 (blue)

x - 5 y = 10 (green)

solution: (-0.357, -2.071)

system:

3 x - y = 1 (blue)

3 x + y = 1 (purple)

solution: (0.333, 0)

system:

x - 5 y = 10 (green)

3 x + y = 1 (purple)

solution: (0.938, -1.813)

7 0

3 years ago

In right triangle XYZ, ∠Y is the right angle and m∠X = 60°. If YZ = 4, what is XY?

daser333 [38]

Answer:

B is the best answer

The question is illustrated with the attached figure.

Required

Determine XY

To solve for XY, we make use of the tan function, which states that:

tan\theta = \frac{Opposite}{Hypotenuse}tanθ=

Hypotenuse

Opposite

In this case:

tan\ 60= \frac{YZ}{XY}tan 60=

XY

YZ

Substitute 4 for YZ

tan\ 60= \frac{4}{XY}tan 60=

XY

4

Make XY the subject

XY= \frac{4}{tan\ 60}XY=

tan 60

4

tan\ 60 =\sqrt 3tan 60=

3

So, the expression becomes:

XY = \frac{4}{\sqrt 3}XY=

3

4

Rationalize:

XY = \frac{4 * \sqrt 3}{\sqrt 3 * \sqrt 3}XY=

3

∗

3

4∗

3

XY = \frac{4\sqrt 3}{3}XY=

3

4

3

6 0

2 years ago

A rectangle has a width of 8 centimeters and an area of 160 square centimeters a similar rectangle has an area of 250 square cen

Bezzdna [24]

I'm a bit confused and there is not a lot of information given to this.

From what I know, the dimensions of the larger rectangle can be found from length x width = 250 square centimetres.

Any multiplication problem that equals 250 could work out for length x width.

8 0

3 years ago

The shape in the figure is constructed from several identical squares. If the side of each square is 1 unit, what is the area an

Katen [24]

Answer:

Area = 7 square units

Perimeter = 14 units

Step-by-step explanation:

The shape is made up of 7 identical squares and, we are told the side length of each square is 1 unit.

==>Find area of the shape by calculating the area of 1 square, then multiply by the number of square used in the construction.

Thus, area of 1 square = s² = 1² = 1 square units.

Area of shape = 7 × 1 square units = 7 square units

==>Find the Perimeter of the shape by adding all the lengths of the boundary formed by the square to make up the shape.

(Check attachment to understand how we got the measurement of the boundary)

The perimeter = 1 + 1 + 1 + ½ + ½ + 1 + 1 + 1½ + ½ + 1 + 1 + 4 = 14 units

8 0

2 years ago