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guajiro [1.7K]
3 years ago
7

Using the following diagram, tick the correct angles which are congruent to the angles given in the first column. (first answer

most brainliest.)

Mathematics
1 answer:
AysviL [449]3 years ago
8 0

Angle 1 is congruent to angles 3, 5, and 7. We know this because vertical angles are congruent (angle 3), as are corresponding angles (angle 5) and alternate exterior angles (angle 7).

Angle 3 is congruent to angles 1, 5, and 7. We know this because vertical angles are congruent (angle 1), as are corresponding angles (angle 7) and alternate interior angles (angle 5).

Angle 4 is congruent to angles 2, 6, and 8. We know this because vertical angles are congruent (angle 2), as are corresponding angles (angle 8) and alternate interior angles (angle 6).

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Estimate the area of Alberta in square miles. Show your reasoning
ella [17]

Answer:  About 278,250\ mi^2

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid  can be calcualted with the formula:

A_t=\frac{h}{2}(B+b)

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

 A_r=lw

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

A=\frac{h}{2}(B+b)+lw

Substituting vallues, you get:

A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2

Therefore, the area of of Alberta is about 278,250\ mi^2.

5 0
3 years ago
What is the difference between intermediate algebra and algebra 1?
Igoryamba
Algebra 1 just really teaches you the basics of algrebra
6 0
3 years ago
Read 2 more answers
Jonathon's Yo-Yo has a string that is three and a half feet long. If Jonathon cuts six inches off of the string, how many feet w
earnstyle [38]
1 ft= 12 inches
1/2 ft= 6 inches

=3 1/2 feet - 6 inches
substitute # of inches in for 1/2 foot
=3 ft 6 inches - 6 inches
=3 feet

ANSWER: 3 feet

Hope this helps! :)
7 0
3 years ago
If a triangle with vertices A(-1, 4), B(-1, -2), C(2, -2) is dilated with a scale factor of 2 and a center of dilation at the or
givi [52]

Answer:

A' (-2,8) B' (-2,-4) C' (4,-4)

Step-by-step explanation:

Dilations Rule :

(x,y) → (kx,ky)

Scale factor = K

When your scale factor is more than one our triangle gets bigger. When your scale factor is less than one our triangle gets smaller.

( you plug in 2 in every point and those are your answers).

Remember negative times negative is positive and positive times negative is negative.

5 0
2 years ago
A pitcher could hold 2/12 of a gallon of water. If Roger filled up 9 pitchers, how much water would he have?
VashaNatasha [74]
1.5 because 2/12=1/6 9 x (1/6) =1.5 gallons of water.
6 0
3 years ago
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