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geniusboy [140]
4 years ago
10

Lopez is considering the following conditional statement: If a parallelogram has diagonals that are perpendicular, then the para

llelogram is a rhombus. Which is true?
Only the contrapositive is valid.

Only the converse is valid.

Only the inverse is valid.

All of the above are valid.
Mathematics
1 answer:
Mashutka [201]4 years ago
6 0

Answer:

only thr converse is valid.

Step-by-step explanation:

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In the figure, angle D measures 71° and angle G measures 37°. What is the measurement of angle A?
HACTEHA [7]

Answer:

34 °

Step-by-step explanation:

∠D = 71°

∠G = 37°

In ΔGEF

Using angle sum property of triangle : Sum of all angles of triangle is 180°

∠G+∠E+∠F = 180°

Since ΔGEF is right angled triangle at F so, ∠F = 90°

Now, 37°+∠E+90° = 180°

127°+∠E= 180°

∠E= 180°-127° =53°

Now ∠E+∠D = 53°+71°  = 124°

Now using exterior angle property in ΔABC

An exterior angle of a triangle is equal to the sum of the opposite interior angles

∠E+∠D is the exterior angle of  ΔABC

So, ∠A+∠B = ∠E+∠D

since  ΔABC is right angled triangle at B so, ∠B = 90°

∠A+90° = 124°

∠A = 124°-90°

∠A = 34°

Hence the measurement of angle A is 34 °

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4 years ago
David made $80,950 last year. If his income is decreased by 7.25%, what is his adjusted
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Answer:

75081

Step-by-step explanation: multiply 80950 by 0.9275

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3 years ago
Can someone please explain this to me ?
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3 years ago
a farmer bought 25 rabbits. The number of rabbits doubles every 6 months. What happens to the number of rabbits in 10 years?​ He
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Answer:

it will increase to about 26,214,400 rabbits.

Step-by-step explanation:

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first of all we have to convert the 10 yrs to months ,,, which will be 10 × 12 months to get = 120 months in total.

divide 120 by 6 months to get the number of times the rabbits will increase to get the answer as = 20.

so we will have to double 20 times.

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3 years ago
Any ball used for sports such as a soccer ball, baseball or volleyball is a_______
Volgvan
Any ball used for sports such as a soccer ball, baseball or a volleyball is a sphere.
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