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3 years ago

5

Patty, Quinlan, and Rashad want to be club officers. The teacher who directs the club will place their names in a hat and

2 answers:

GarryVolchara [31]3 years ago

4 0

Answer:

S = {PQ, QP, PR, RP, QR, RQ}

P = Pat Q = Quinlan R = Rashad

Now, the teacher is going to draw out of the hat one first, without replacement, and then draw another one. The first one will be the president, and that could be P, Q or R, and the second one is the Vice president, and since one has already being drawn, that could only be two fellows. The total of likely outcomes is PQ,QP, PR, RP, QR, RQ, one paired up with either of the two remaining in the hat.

loris [4]3 years ago

3 0

Answer:D

Step-by-step explanation:

got it right e2020

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In isosceles triangle △ABC,

Minchanka [31]

Answer:

Isosceles triangle:

* two sides are equal.

* the base angle are always equal and

* the altitude is a perpendicular distance from the vertex to the base.

Since, the triangle ABC is an isosceles and AC is the base

⇒ AB=BC and $\angle A = \angle C$

Also, AD is the angle bisector of $\angle A$ , which implies that it cuts the angle at A in two equal halves,

let $\angle A= x^{\circ}$ , then the bisectors cuts it in $(x/2)^{\circ}$ .

As per the given information, we know $\angle ADB$ is 110°, therefore, the line BDC forms a supplementary angle;

⇒ $\angle CDA = 180-110 =70^{\circ}$

As shown in picture given below:

By sum of all interior angles in a triangle is 180 degree, thus

$x+\frac{x}{2} +70^{\circ} =180^{\circ}$ or

$\frac{3x}{2} = 180-70 = 110^{\circ}$

Simplify:

$x=\frac{220}{3} = 73\frac{1}{3}^{\circ}$

Therefore, the $\angle A =\angle C = 73\frac{1}{3}^{\circ}$ .

Now, to find the angle B, we have;

$\angle A+ \angle B +\angle C = 180^{\circ}$ [Sum of the measure of the angles in a triangle is 180 degree]

or

$2\angle A+\angle B = 180^{\circ}$ or

$\angle B = 180^{\circ}- 2\cdot \frac{220}{3} =180^{\circ}-\frac{440}{3}$

Simplify:

$\angle B = \frac{100}{3}= 33 \frac{1}{3}^{\circ}$ .

4 0

3 years ago

Classify each graph as increasing, decreasing, constant

posledela

Answer:

3. increasing

4. decreasing

Step-by-step explanation:

well for graph 3 the values are increasing

and for graph 4 the values are decreasing

8 0

2 years ago

What is the lateral area of the drawing?

-Dominant- [34]

I think the answer is letter c

8 0

3 years ago

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When are the x-intercept and the y-intercept of a graph identical?

vova2212 [387]

at the origin

they are same

7 0

4 years ago

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Which of the answer choices could be the one missing data item for the following set, if the mode is 12?

crimeas [40]

Answer:

D

Step-by-step explanation:

first of all, what is mode: it is the highest occuring number in a set of numbers.

now since 12 is supposed to be the mean and it occurs twice but 9 also occurs twice so for 12 to be the mode, we must add one more 12.

therefore the answer is 12

8 0

3 years ago

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