Calculate the area of triangle WXY with altitude YZ, given W(2, −1), X(6, 3), Y(7, 0), and Z(5, 2). (6 points) 8 square units 9.4 square units 7.7 square units 12 square units

Answers

Answer 1

The area of triangle WXY with altitude YZ is: 8 square units.

Area of a Triangle

Area = 1/2(base × height)

Altitude = height.

Given:

Base = WX = distance between W(2, −1) and X(6, 3):

Using distance formula, [tex]WX = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]:

[tex]WX = \sqrt{(3 - (-1))^2 + (6 - 2)^2}\\\\\mathbf{WX = 5.7 $ units}[/tex]

Altitude/height = YZ = distance between Y(7, 0), and Z(5, 2):

[tex]YZ = \sqrt{(0 - 2)^2 + (7 - 5)^2}\\\\\mathbf{YZ = 2.8 $ units}[/tex]

Area of triangle WXY = 1/2(WX × YZ)

Area of triangle WXY = 1/2(5.7 × 2.8) = 7.98

Area = 8 square units.

Learn more about area of triangle on:

https://brainly.com/question/9030437

Answer 2

Answer:8

Step-by-step explanation: test


Related Questions

In a complete paragraph, explain how to scope a speech.
Please use your own words.

Answers

Answer:

Prepare. You dread public speaking because you don't know what to say.

Psych yourself. ...

Know your audience. ...

Be an expert on your topic. ...

Visualize. ...

Conduct an ocular inspection. ...

Read, watch, and listen to good speakers.

Step-by-step explanation:

To scope a speech you need to narrow dow. what you are talking about into the relevant topic. A easy way to effectivly scope your speech is to ask yourself "what information do I want my audience to know at the end of my speech." Once you've answered his for yourself, use it as your focal point for your speech. Keep what you're talking about relevant to the purpose and thesis of your speech. And make sure to use anything superfluous or extraneous because it will broaden your scope and take the speech away from the ultimate goal.

help plz will give brainliest
also it either A or D and show your work if u can

Answers

Hey... The answer is A

Andrew drives 350 miles in 5.5 hours. Approximately how many miles does he drive per hour?

Answers

350miles = 5.5 hours
? Miles = 1 hour
350/5.5 = 63.6363 = 64 miles

Write (−3) (−3)(−3) (−3) using exponents

Answers

Answer:

[tex] { - 3}^{4} [/tex]

Step-by-step explanation:

Negative 3 using exponents will be negative 3^4

Answer:

3^4, or (-3)^4

Step-by-step explanation:

We are multiplying -3 four times, so

(-3)^4

Since we are multiplying an even amount of times, that equals (3)^4

I hope this helps! :)

100 points! I will mark brainliest Help fast! No random answers please.random answers will be reported.

Answers

Answer:

The combination of a reflection in a line and a translation in a perpendicular direction is a reflection in a parallel line. However, a glide reflection cannot be reduced like that. Thus the effect of a reflection combined with any translation is a glide reflection, with as special case just a reflection.

Step-by-step explanation:

pls mark as brainliest

THANKS  

ok thx

Step-by-step explanation:

Answer:

The combination of a reflection in a line and a translation in a perpendicular direction is a reflection in a parallel line.

Step-by-step explanation:

Hope this helps!

Which set of numbers can represent the side lengths, in inches, of an acute triangle?
o 4,5,7
O 5,7,8
O 6,7, 10
O 7.9, 12

Answers

Answer:

 5 , 7 , 8 represent the side of acute angled triangle

Set B with sides 5 , 7 , 8 represent the side of acute angled triangle.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that:

Set of numbers.

Now, We use the following result:

When given 3 triangle sides then to determine if the triangle is acute angled , right angled or obtuse angled.

First find Square all 3 sides, then Sum the squares of the 2 shortest sides and then Compare the sum to the square of the last side.

if sum > Square of last side ⇒ it is Acute Triangle

if sum = Square of last side ⇒ it is Right Triangle

if sum < Square of last side ⇒ it is Obtuse Triangle  

a). 4  , 5 , 7

4² = 16 ,  5² = 25 , 7² = 49

16 + 25 = 41

Hence, 41 < 49

⇒ It is an Obtuse Triangle.

b). 5 , 7 , 8

5² = 25 , 7² = 49 , 8² = 64

25 + 49 = 74

Hence, 74 > 64

⇒ It is an acute Triangle.

c). 6 , 7 , 10

6² = 36 , 7² = 49 , 10² = 100

36 + 49 = 85

Hence, 85 < 100

⇒ It is an Obtuse Triangle.

d). 7 , 9 , 12

7² = 49 , 9² = 81 , 12² = 144

49 + 81 = 130

Hence, 130 < 144

⇒ It is an Obtuse Triangle.

Therefore, Set B with sides 5 , 7 , 8 represent the side of acute angled triangle.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

A high school drama club is performing a musical to benefit a local charity. Tickets are $5. They also receive donations if $500. They wants to raise at least $2000. How many tickets should they sell to reach their target

Answers

Answer: 300 tickets

Step-by-step explanation:

The drama club wants to raise at least $2,000. They have already received donations of $500 so the amount left till target is:

= 2,000 - 500

= $1,500

Tickets are being sold at $5 so the number of tickets needed to get to $1,500 is:

= 1,500/5

= 300 tickets

The quotient of k and 9 is no more than 1/3

Answers

Answer:

If this is true or false, I think true. Hope I helped! If not, please make sure to correct me.

Step-by-step explanation:

Rectangle: 1 side 82 inches. Area of rectangle is 6.068 what is the other side measurement

Answers

Answer:

[tex]Side_2 = 74\ in[/tex]

Step-by-step explanation:

Given

[tex]Side_1= 82\ in[/tex]

[tex]Area = 6068\ in^2[/tex]

Required

Determine the length of the other side

For a rectangle:

[tex]Area = Side_1 * Side_2[/tex]

This gives:

[tex]6068\ in^2 = 82\ in * Side_2[/tex]

Divide both sides by 82in

[tex]\frac{6068\ in^2}{82\ in} = \frac{82\ in}{82\ in} * Side_2[/tex]

[tex]\frac{6068\ in^2}{82\ in} = Side_2[/tex]

[tex]Side_2 = \frac{6068\ in^2}{82\ in}[/tex]

[tex]Side_2 = 74\ in[/tex]

Hence, the length of the other side is 74 inches

What is the first step to evaluate 55 - 15 + 29?
A: 55-15
B: 15+29
C: 55-29

Answers

Answer:

B

Step-by-step explanation:

You use PEDMAS to evaluate the perfect number so in the PEDMAS it says addition then to subtraction so, the addition goes first. And when you have both addition you go left to right :)

Answer: B
Explanation: Use pemdas

From which store should Dylan make his purchase if he wants to get the best price per unit?

Answers

Answer:

Store 1

Step-by-step explanation:

Given

See attachment

Required

Determine the store with the best price per unit

It should be noted that the store with the best has the least price per unit.

So, we have:

Store 1

[tex]Quantity = 10\ ft[/tex]

[tex]Price = \$2.50[/tex]

The unit rate is:

[tex]Rate = \frac{Price}{Quantity}[/tex]

[tex]Rate = \frac{\$2.50}{10\ ft}[/tex]

Rate = $0.250 per feet

Store 2

[tex]Quantity = 2\ yd[/tex]

[tex]Price = \$1.85[/tex]

Convert quantity to feet

[tex]Quantity = 2 * 3ft = 6ft[/tex]

The unit rate is:

[tex]Rate = \frac{Price}{Quantity}[/tex]

[tex]Rate = \frac{\$1.85}{6\ ft}[/tex]

Rate = $0.308 per feet

Store 3

[tex]Quantity = 12\ ft[/tex]

[tex]Price = \$3.40[/tex]

The unit rate is:

[tex]Rate = \frac{Price}{Quantity}[/tex]

[tex]Rate = \frac{\$3.40}{12\ ft}[/tex]

Rate = $0.283 per feet

Store 4

[tex]Quantity = 5\ yd[/tex]

[tex]Price = \$4.00[/tex]

Convert quantity to feet

[tex]Quantity = 5 * 3ft = 15ft[/tex]

The unit rate is:

[tex]Rate = \frac{Price}{Quantity}[/tex]

[tex]Rate = \frac{\$4.00}{15\ ft}[/tex]

Rate = $0.267 per feet

From the calculations above; store 1 has the least unit rate.

Hence, store 1 has the best price per unit

How many tablespoons are in 5 quarts?

StartFraction 3 quarts Over 192 tablespoons EndFraction = StartFraction 5 quarts Over question mark tablespoons EndFraction
128
187
320
384

Answers

Answer: 320 tablespoons

Answer:

its 320 5 qarts equals 320 talbespoons

Step-by-step explanation:

i took the test and got it right

Please Help! April took out a $900 loan from the bank. At the end of the 5 years, a 3.4%interest rate. How much interest does she have to pay back?

Answers

Answer: $30.60

Step-by-step explanation:

multiply 3.4% or 0.034 in decimal form, by 900, and that’s your interest

In the figure below, =m∠ABD 94°, =m∠EBD 31°, and BE bisects ∠CBD. Find m∠ABC

Answers

Answer: 32
Angle EBD= 31
Angle CBE=31
31+31=62
94-62=32

The table shows which
School subjects are favored by a group of students.
predict the number of students out of 400 that
vould pick science as their favorite subject
pls help

Answers

I’m pretty sure it’s 60.

3/20 = 0.15

0.15 x 400 = 60

Find x when y=2 for y=6x+8

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.
x
=
y
6
+
4
3

Write and solve a real-world problem that can be represented by the expression (–3)(5), then solve it

Answers

Answer and explanation:

(-3)(5) evaluates to -3×5=-15

A real world problem that would represent this would be a case where 5 fruit vendors each give out 3 fruits to 3 of their customers in the spirit of Christmas. Each vendor gives out(subtracts fruits from fruit stock) 3 of their fruits= -3 fruits for each vendor. There are a total of 5 fruit vendors therefore -3×5= -15 fruits given out by all 5 fruit vendors in total. To better understand this, we could compare this to if the vendor were to get(add to stock of fruits) fruits and not actually give out fruits. This would be 3×5= 15 fruits gotten by all the 5 vendors in total.

Which proportion can be used to determine the value of WX if TriangleMNO is similar to TriangleWXY?

Answers

Answer:

Where picture?

Step-by-step explanation:

PLS SOMEONE HELP ME ASAP

Answers

Answer:

A. (2i)(8) = d. 16i

B. 16i³ = b. -16i

C. (2i)⁴ = a. 16

D. (2i)(8i) = c. -16

Step-by-step explanation:

A. Multiply 2i by 8 to get 16i, which corresponds to d.

B. The exponent is 3 more than a mulitple of 4 in 16i³, so the answer is negative. -16i corresponds to b.

C. (2i)⁴ has an exponent that is a multiple of 4, so the i isn't needed. 16 corresponds to a.

D. (2i)(8i) simplifies to 2(8) * i². The exponent is 2 more than a multiple of 4, so the answer is negative, without an i. -16 corresponds to c.

Please awnsers by 3:00

Answers

Answer:

$486

Step-by-step explanation:

8% of 450 = 36

450+36 = $486

Answer:

Step-by-step explanation:

Kendall bought a vase that costs 450

he paid 8% tax

tax=450*(8/100)=36

total cost=450+36=486

Which point would form a right isosceles triangle with Points A and B on the coordinate grid below?

Answers

Answer:

I think it's -3,9 there are 7 boxes between a and b and there are 7 boxes between point a and 9

Find the area of the shape shown below.

Answers

Answer:

18.75

Step-by-step explanation:

The formula to find the area of a triangle is

A= [tex]\frac{1}{2}[/tex]*b*h

The formula to find the area of a rectangle is simply the length times the base.

Here, you can separate the shapes, two triangle and one rectangle to make it easier to find. Subtract 7.5 and 2.5 to get 5, which will be the base measurements for the triangles.

Next, find the area for the triangles: [tex]\frac{1}{2}[/tex] x 5 x 2.5= 6.25, however, you have two triangles, so multiply by two to get 12.5.

Now, find the area of the rectangle, 2.5 +2.5= 6.25

Lastly, add the measurements together, 12.5 +6.25= 18.75

24 x 1/6 please help I have no clue I need it asap

Answers

Answer:

4

Step-by-step explanation:

24 × 1 = 24 = 4

6. 6

i am pretty sure that's it

Answer:

its 4

Step-by-step explanation:

You can think of 24 as 24/1 so

24 X 1/6

and to multiply two fractions you multiply the numerators and denominators so

24 * 1/6

Now you can divide 6 into 24 and get 4.


Naomi surveyed eighth-grade students at her school to find out which school activities they attended last week. The
results are shown in the two-way frequency table.

Answers

Answer: Lol whats the two way table look like

Step-by-step explanation:

Help please!! What is the distance between these points? (-7, 6) and (3, 6)

Y'all get 12 points if you help! :)

Answers

Answer:

10

Step-by-step explanation:

sqrt root (x2-x1)^2 + (y2-y1)^2


-5x + 8y = 14
12x - 13y = -15

Answers

Answer:

you

Step-by-step explanation:

ty for th and you can

NEED ANSWER ASAP PLS!! Justify each step in solving the equation 8x=5(x-3)

Answers

Answer:

Step-by-step explanation:

2. expand the brackets

3. take away the smallest x value to simplify 8x-5x=3x

4. 3x=-15 divide both sides by 3 to find the value of x

5. -15/3=-5 therefore x=-5

PLEASE HELP ASAP!!!!!! WILL MARK BRAINLIEST!!!! HELP!!!!

Answers

Answer:

obtuse

784

greater than

730

Step-by-step explanation:

Obtuse and greater than

Simplify

8m + 4n +7m - 2n


A. 15m + 2n

B. m + 2n

C. 15m + 6n

D. 17mn

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

8m+4n+7m-2n   Equation/Question

Step 2

8m+4n+7m-2n  Simplify

8m+4n+7m-2n

Step 3

8m+4n+7m-2n  Combine terms

(8m+7m)+(4n+-2n)

Step 4

(8m+7m)+(4n+-2n)  Add them

answer

15m+2n

Hope this helps

Determine whether statement (3) follows from statements (1) and (2) by the Law of Detachment or the Law of Syllogism. If it does, state which law was used. If it does not, write invalid.(1) If you use a pencil you can erase mistakes. (2) If you can erase mistakes your paper will be neater. (3) If you use a pencil your paper will be neater. Question

Answers

Answer:

Law of Syllogism

Step-by-step explanation:

Remember, the Law of Syllogism simply states that if two statements are true, then a third statement that is true can be derived from it. In other words,

(1) If action p results in q , and

(2) If action q results in r.

Then we can derive a third true statement:  that says,

(3) If action p then r.

So in summary,

(1) If you use a pencil (action p), you can erase mistakes (results in q).

(2) If you can erase mistakes (q) your paper will be neater (r).

(3) If you use a pencil (if p) your paper will be neater (then r).

This rightly fits into the law of syllogism.

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