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2 years ago

Solve for ;x+20/2=3x

1 answer:

4 0

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in the figure p is the incenter of isosceles rst what type of triangle is rpt? Thank you in advance .

snow_lady [41]

Answer:

$\Delta \text{RPT is an isosceles triangle}$

Step-by-step explanation:

As in the triangle RST,

$RS=ST\ \ \ \Rightarrow m\angle SRT=m\angle STR$

Because if in a triangle two angles equal one another, then the sides opposite the equal angles also equal one another.

Incenter is obtained by the Intersection of a triangle's three angle bisectors and it is equidistant from the three sides of the triangle.

So, RP and TP are the angle bisectors of ∠R and ∠T respectively.

$\Rightarrow \dfrac{m\angle SRT}{2}=\dfrac{m\angle STR}{2}$

$\Rightarrow m\angle PRT=m\angle PTR$

$\Rightarrow PR=PT$

$\Rightarrow \Delta \text{RPT is an isosceles triangle}$

7 0

2 years ago

Read 2 more answers

Choose the correct simplification of the expression d3 ⋅ d5.

snow_tiger [21]

$d^3*d^5=d^{3+5}=d^8$

5 0

2 years ago

Consider a single spin of the spinner.

alex41 [277]

Answer:

"landing on a shaded portion and landing on a 3"

"landing on an unshaded portion and landing on a number less than 2 "

Step-by-step explanation:

Mutually exclusive means the events will have no intersection.

Let's look at your first choice:

"landing on a shaded portion and landing on an even number"

Landing on a shaded portion would be 1 or 4.

Landing on an even number would be 2 or 4.

There is an intersection (they contain a common element), the 4.

These events are not mutually exclusive.

Let's look at your second choice:

"landing on a shaded portion and landing on a number greater than 3"

Landing on a shaded portion would be 1 or 4.

Landing on a number greater than 3 would be just 4.

There is an intersection; they both contain 4.

These events are not mutually exclusive.

Let's look at your third choice:

"landing on a shaded portion and landing on a 3"

Landing on a shaded portion would be 1 or 4.

Landing on 3 would just be 3.

There is no common elements in the lists listed. These events have no intersection.

These events are mutually exclusive.

Let's look at your fourth choice:

"landing on an unshaded portion and landing on an odd number"

Landing on a unshaded portion would be 2 or 3.

Landing on an odd number would be 1 or 3.

There is an intersection; they both have 3 in common.

These events are not mutually exclusive.

Let's look at your fifth choice:

"landing on an unshaded portion and landing on a number less than 2 "

Landing on an unshaded portion would 2 or 3.

Landing on a number less than 2 would be 1.

There is no intersection.

These events are mutually exclusive.

6 0

2 years ago

Read 2 more answers

The star aldebaran, visible from earth, lies about 65 light years away from us. What is the minimum amount of time that would be

makkiz [27]

A beam of light (travelling at the speed of light) would take 65 years to go and 65 years to come back from aldebaran, i.e. 130 years. You can send and receive a radio message (travelling at the speed of light, being electromagnetic radiation) taking so 130 years.

8 0

2 years ago

Rectangle ABCD with coordinates A(1,1), B(4,1), C(4,2) and D(1,2) dilates with respect to the origin to give rectangle A’B’C’D’.

Delvig [45]

Answer: Option C.

Step-by-step explanation:

You need to find the distance AB with the formula for calculate the distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$