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balandron [24]
2 years ago
10

What is the PERIMETER of triangle ABC ?

Mathematics
2 answers:
gizmo_the_mogwai [7]2 years ago
6 0
The length of AC is 8

The length of 1/2 of AC = 4 (set the "4" point as D)
DC = 4

DC = 4,DB = 3, CB = x

Use the pythagoream theorem.

4² + 3² = x²
16 + 9 = x²
25 = x²

root both sides to isolate the x
√25 = √x²
x = √25
x, or CB = 5

Add all the sides together. Remember, CB = 5, DC = 4, & DB = 3
5 + 4 + 3 = 12

12, or (A) is your answer

hope this helps
Galina-37 [17]2 years ago
5 0

Answer:  The correct option is (D) 18 units.

Step-by-step explanation:  We are given to find the perimeter of triangle ABC.

As shown in the attached figure below, triangle ABC is divided into two right-angled triangles ABD and ACD.

From the figure, we note that

AC = 8 units.

And the side lengths AB and BC are calculated using Pythagoras theorem of right-angled triangles as follows :

AB=\sqrt{AD^2+BD^2}=\sqrt{3^2+4^2}=\sqrt{25}=5~\textup{units},\\\\BC=\sqrt{CD^2+BD^2}=\sqrt{3^2+4^2}=\sqrt{25}=5~\textup{units}.

We know that the perimeter of a triangle is equal to the sum of the lengths of the three sides.

Therefore, the required PERIMETER of ΔABC is given by

P=AB+BC+AC=5+5+8=18~\textup{units}.

Thus, the perimeter of ΔABC is 18 units.

Option (D) is CORRECT.

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Please answer all three questions for full points.​
ludmilkaskok [199]

Answer:

Step-by-step explanation:

1. a) vertical stretch by a factor of 5 and

  e) reflection over x-axis

2. c) reflection over the y-axis

   e) horizontal shift to the right 4 units

3. c) horizontal shift

5 0
3 years ago
The coordinates of the endpoints of AB and CD are A(2,
Ratling [72]

Answer:

Option 1: CD is a perpendicular bisector of AB

Step-by-step explanation:

Let us find out the slopes of various line segments and the Distances and then we will draw the conclusions accordingly.

Formula to find slope

m= \frac{y_2-y_1}{x_2-x_1}

Formula to Find Distance between two points

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

mAB ( represents , Slope of AB )

1. mAC= \frac{3-2}{2-5}=\frac{1}{-3}=-\frac{1}{3}

2. mBC=\frac{2-1}{5-8}=\frac{1}{-3}=-\frac{1}{3}

3. mCD=\frac{5-2}{6-5}=\frac{3}{1}=3

4. AC=\sqrt{(3-2)^2+(2-5)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}

5. BC=\sqrt{(2-1)^2+(5-8)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}

mAC = mBC  , and C is common point , hence these three are collinear points  making a straight line whole slope is -\frac{1}{3}

mAB=-\frac{1}{3}

mCD=3

mAB \times mCD = -\frac{1}{3} \times 3 = -1

Hence CD ⊥ AB

Also

From Point 4 and point 5 above , we see that

AC = CB

Hence CD bisect AB at C, also CD ⊥ AB

There fore

CD is a perpendicular bisector of AB

Therefor option 1 is true

4 0
3 years ago
Monique purchases a $5,100 dining room set. She can't afford to pay cash, so she uses the installment plan, which requires an 18
just olya [345]

Answer:

$918 is her down payment

Step-by-step explanation:

.18×5100

7 0
3 years ago
What multiplies to be 48 and adds up to be -19
-BARSIC- [3]
-3 and -16 multiply to 48 since negatives cancel and add to -19
3 0
3 years ago
A 3 foot tall globe standing next to a woman cast an 8 ft shadow. if the woman cats a shadow that is 16ft long , then how tall i
My name is Ann [436]

The woman is 6 foot tall

<h3>What is proportion?</h3>

Proportion can be defined as the mathematical comparison of two numbers.

These numbers could be numbers, elements, set or people

From the information given, we have that;

  • The globe is 3 feet and casts a shadow of 8ft
  • The woman cast a shadow of 16ft and is x feet tall

So,

if the globe is 3 foot tall and casts a shadow of 8ft

Then the woman is x foot tall to cast a shadow of 16ft

cross multiply

8x = 24

Make 'x' the subject

x = 48/ 8

x = 6 foot

Thus, the woman is 6 foot tall

Learn more about proportion here:

brainly.com/question/1781657

#SPJ1

3 0
2 years ago
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