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cupoosta [38]
3 years ago
15

true or false any point that belongs to the angle bisector of a given angle is equident to the sides of that angle

Mathematics
1 answer:
Roman55 [17]3 years ago
4 0

Answer:

  True

Step-by-step explanation:

You can show this using the HA congruence theorem for right triangles. The distance of interest is the perpendicular distance from the point to the side of the angle. The distance from the point to the vertex is the same for both triangles (reflexive property), and the vertex angles are the same (definition of angle bisector). Hence the conditions required for HA congruence are met.

The distances from the point to the sides are then corresponding parts of congruent triangles, so are congruent. That is, the distance is the same, so <em>the point is equidistant from the sides</em>.

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Daniela invested a total of $50,000, some in a certificate of deposit (CD) and the remainder in bonds. The amount invested in bo
LekaFEV [45]

Answer:

The amount invested in bonds = 35,000

The amount invested in CD = 15,000.

Step-by-step explanation:

The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds b, and the amount invested in CD d, then we have:

b+d=50,000 this says the total amount Daniela invested is $50,000.

And since the amount invested in bonds b is $5,000 more than twice the amount Daniela put into the CD, we have:

b=5,000+2d.

Thus, we have two equations and two unknowns b and d:

(1). b+d=50,000

(2). b=5,000+2d,

and we solve this system by substituting b from the second equation into the first:

b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}

or, the amount invested in CD is $15,000.

With the value of d in hand, we now solve for b from equation(2):

b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}

or, the amount invested in bonds is $35,000.

4 0
3 years ago
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There are 346 children going for an excursion.
NeTakaya

Answer:

26 children

Step-by-step explanation:

346-8*40

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26

5 0
2 years ago
There were 7 pizzas. 5 people ate all of the pizzas. each person ate an equal amount of pizza. how much pizza did each person ea
shtirl [24]

Answer: D

Step-by-step explanation:

A seems complicated and doesn’t make an sense while D is simple

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Answer:

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Step-by-step explanation:

<u>Given system:</u>

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In order to solve it graphically, graph both lines and find the point of their intersection.

Graphing easy if you plot the x- and y- intercepts and connect them with a line.

<em>See attached.</em>

Both lines have same x-intercept, which is also the solution: (2, 0)

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Which is an estimate of square root of 15 to one decimal place?
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3.9 is the estimated square root of 15 to one decimal place
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