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Basile [38]
3 years ago
8

Show that <1+<2+<3=180, if line l and m are parallels cut by two transversals.

Mathematics
1 answer:
Svet_ta [14]3 years ago
7 0

Step-by-step explanation:

Angle 1 2 and 3 are angles that are in a triangle and all the angles in a triangle always add up to 180

so <1 +<2 +<3=180

Hope that helps :)

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Use the Pythagorean theorem to determine which of the following give the measures of the legs and hypotenuse of a right triangle
Masteriza [31]

Answer: 3, 4,5 and 17, 15,8

give the measures of the legs and hypotenuse of a right triangle.

Step-by-step explanation:

In order for the measures of the legs and hypotenuse given to form a right angle triangle, they must be Pythagorean triples. A Pythagoras triple is a set of numbers that perfectly satisfy the Pythagorean theorem. The Pythagorean theorem is expressed as

Hypotenuse² = opposite side² + adjacent side². We will apply the theorem to each set of numbers given.

1) 3, 4, 5

5² = 3² + 4² = 9 + 16

25 = 25

It is a Pythagorean triple

2) 4, 11, 14

14² = 11² + 4² = 121 + 16

196 = 137

It is a Pythagorean triple

3) 9, 14, 17

17² = 14² + 9² = 196 + 81

289 = 277

It is not a Pythagorean triple

4) 8, 14, 16

16² = 14² + 8² = 196 + 64

256 = 260

It is not a Pythagorean triple

5) 8, 15 , 17

17² = 15² + 8²

289 = 225 + 64

289 = 289

It is a Pythagorean triple

Therefore, 3, 4,5 and 17, 15,8

give the measures of the legs and hypotenuse of a right triangle.

8 0
3 years ago
50 POINTS I WILL GIVE BRAINLIEST!!! HELPPPPPPPP....explain how to construct congruent line segments..
tigry1 [53]

Answer:

1. Construct a segment XY on the a sketch.

2. Elsewhere on the sketch, draw a line and create a point on the line . Label the point P.

3. Select point P and line segment XY.  Construct circle by center and radius.

4. Select the circle and line, then construct point of intersection. Label one of the points of intersection point Q.

5. Select point P and point Q.  Construct segment PQ.

6. Select the circle, line, and other point of intersection.  Hide objects.  Only segment XY and segment PQ should be visible on the sketch.

7. Try dragging point X.  Segment PQ should lengthen and shorten as segment XY does.

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What is the least even number you can make with the digits 5 2 7 3 6 4 0?
coldgirl [10]
0234576 You just need to put the numbers in order form least to greatest and leave an even number at the end. 
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3 years ago
Please show your work this question what made you come to the conclusion. Thank you
AveGali [126]

Answer:

B the range, the x- and y-intercept

Step-by-step explanation:

the domain stays the same : all values of x are possible out of the interval (-infinity, +infinity).

but the range changes, as for the original function y could only have positive values - even for negative x.

the new function has a first term (with b) that can get very small for negative x, and then a subtraction of 2 makes the result negative.

the y-intercept (x=0) of the original function is simply y=1, as b⁰=1.

the y-intercept of the new function is definitely different, because the first term 3×(b¹) is larger than 3, because b is larger than 1. and a subtraction of 2 leads to a result larger than 1, which is different to 1.

the original function has no x-intercept (y=0), as this would happen only for x = -infinity. and that is not a valid value.

the new function has an x-intercept, because the y-values (range) go from negative to positive numbers. any continuous function like this must therefore have an x-intercept (again, y = the function result = 0)

3 {b}^{x + 1}  = 2

{b}^{x + 1}  = 2 \div 3

log_{b}(2 \div 3)  = x + 1

x =  log_{b}(2 \div 3)  - 1

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3 years ago
Put yourself in the shoes of the lender: why is information on application important
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Because if you don’t put anything they won’t hire you
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3 years ago
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