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VladimirAG [237]
2 years ago
9

Can someone help me with this? I don’t understand this that well.

Mathematics
1 answer:
Serjik [45]2 years ago
8 0

Answer: 1, 3, and 5 I think

Step-by-step explanation:

Rational numbers are numbers that can be written as quotients

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In triangle , side and the perpendicular bisector of meet in point , and bisects . If and , what is the area of triangle
stich3 [128]

In triangle ABC, side AC and the perpendicular bisector of BC meet in point D, and BD bisects ∠ABC。 If AD = 9 and DC = 7, 145–√5  is the area of a triangle.

I supposed here that [ABD] is the perimeter of ▲ ABD.

As  BD  is a bisector of  ∠ABC ,

ABBC=ADDC=97

Let  ∠B=2α

Then in isosceles  △DBC

∠C=α

BC=2∗DC∗cosα=14cosα

Thus  AB=18cosα

The Sum of angles in  △ABC  is  π  so

∠A=π−3α

Let's look at  AC=AD+DC=16 :

AC=BCcosC+ABcosA

16=14cos2α+18cosαcos(π−3α)

[1]8=7cos2α−9cosαcos(3α)

cos(3α)=cos(α+2α)=cosαcos(2α)−sinαsin(2α)=cosα(2cos2α−1)−2cosαsin2α=cosα(4cos2α−3)

With  [1]

8=cos2α(7−9(4cos2α−3))

18cos4−17cos2α+4=0

cos2α={12,49}

First root lead to  α=π4  and  ∠BDC=π−∠DBC−∠C=π−2α=π2 . In such case  ∠A=π−∠ABD−∠ADB=π4, and  △ABD  is isosceles with  AD=BD. As  △DBC  is also isosceles with  BD=DC=7,  AD=7≠9.

Thus first root  cos2α=12  cannot be chosen and we have to stick with the second root  cos2α=49. This gives  cosα=23  and  sinα=5√3.

The area of a triangle ABD=12h∗AD  where h  is the distance from  B  to  AC.

h=BCsinC=14cosαsinα

Area of  triangle ABD=145–√5

= 145–√5.

Incomplete question please read below for the proper question.

In triangle ABC, side AC and the perpendicular bisector of BC meet in point D, and BD bisects ∠ABC。 If AD = 9 and DC = 7, what is the area of triangle ABD?

Learn more about the Area of the triangle at

brainly.com/question/23945265

#SPJ4

6 0
2 years ago
Helppp please on this hw page
Ludmilka [50]
You round down so 2.3 goes to 2
8 0
3 years ago
Read 2 more answers
C. If a < 0 and f(a) > 0, then the point (a, f(a))
professor190 [17]
The answer is: b - lies in quadrant II when graphed.

Explanation:

Any number less than zero is a negative number.

Example: -1

Any number greater than zero is a positive number.

Example: 1

(a, f(a))

(-1,1)

When these example points are graphed, they are placed in the second quadrant.
3 0
2 years ago
A house and a lot is appraised at $212,400. The value of the house is five times more the value of the lot. What is the house wo
Anuta_ua [19.1K]
The house is worth $177,000
the lot is worth $35,400
5 0
3 years ago
A. 0.27 and 0.50
defon

Answer:

Part 1

a. .27 < .50

b. .33 < .75

c. 4.60 > 3.89

d. .76 > .08

e. .09 < .11

f. 3.33 > 3.30

Part 2

.27(2)= .54

.50(1)= .50

.27(2)= .54 is larger than .50 because if it was money, .54 is greater than .50

Step-by-step explanation:

3 0
3 years ago
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