4 cm
7-64. When Madelyn examined the triangle at left, she says, “I
don't think this diagram is drawn to scale because I think the
side labeled x has to be longer than 4 cm.”
26°
42°
a. Do you agree with Madelyn? Why or why not?
b. Leila thinks that x can be determined by using right triangles. Review what you learned in
Lesson 7.2.1 by calculating the value of x.

4 Cm7-64. When Madelyn Examined The Triangle At Left, She Says, Idon't Think This Diagram Is Drawn To

Answers

Answer 1

Answer:

k

Step-by-step explanation:

Answer 2

The value of x is determined as 6.10 cm using law of sines and the diagram is correctly drawn.

What is the law of sines?

The sine law is used to calculate the sides and angles of a triangle. It states that the ratio of the sides and the angles opposite to it are equal.

It can be written a/SinA = b/SinB = c/SinC.

For the diagram shown, the length of side of triangle can be calculated by Sin law as,

x/Sin(42°) = 4/Sin(26°)

⇒ x = 4/Sin(26°) × Sin(42°)

⇒ x = 6.10

Thus, x is greater than 4 cm.

(a) One cannot agree with Madelyn because x is greater than 4 cm.

(b) The value of x can be found by using law of sines.

Hence, the value of x is 6.10 and the diagram is drawn to scale.

To know more about law of sines click on,

brainly.com/question/17289163

#SPJ2


Related Questions

Solve the equation for all values of x by completing the square x^2-35=2x​

Answers

Answer:

x = 7, − 5

Step-by-step explanation:

Need help ASAP please

Answers

Answer:

A- no

B- no

C-yes

D- yes

Step-by-step explanation:Anything that is inside the red is a solution. You can also plug in the points into the equation and see if its right. Thats what I did for a.

what is 45.75 divide by 3

Answers

Answer:

15.25

Step-by-step explanation:

You're Welcome!

Answer:

15.25 (what's important to remember when doing problems with decimals is remembering to put it in the right place. )

hope this helped you out!

Step-by-step explanation:

f(x) = –x^2+ 6
Find f(-3)

Answers

So if f(-3), then x = -3.


Substitute.



y = -(-3)^2 + 6

= -(9) + 6

= -3


Hope it helped

Answer:

15

Step-by-step explanation:

3^2+6= 9+6= 15 hope it helped

What is the y-coordinate of the solution to the system of equations? 5x-y=25 4x+3y=1

Answers

Answer:

The y-coordinate of the solution is thus -5.

Step-by-step explanation:

Rewrite 5x-y=25 4x+3y=1

in a column:

5x-y=25

4x+3y=1

If we want to find the y-coordinate of the solution, we need to eliminate x.  Solving the second equation for 4x yieds 4x = 1 - 3y, or

x = (1 - 3y)/4.

If this is inserted into 5x - y = 12, we get:

5(1 - 3y)/4 - y = 25, or (multiplying all terms by 4 to eliminate fractions):

5 - 15y - 4y = 100, or

-19y = 95, which yields y = -5

The y-coordinate of the solution is thus -5.

the area of a triangle of altitude 15 m is 225 sq.m.whatbis the length of its base. please show steps clearly​

Answers

Hope it helps........

2) Abby spent $152 on Math Team spirit gear. Sweatshirts cost $25 and t-shirts cost $11. If she

bought a total of 10 items, how many of each type of shirt did she buy?

Answers

Answer:Abby bought 3 sweat shirts and 7 t shirt

Step-by-step explanation:

Step 1

Let sweat shirt be represented as s

and t shirts be represented as t

such that the total  umber of items bought which equals 10 can be written as

s+ t= 10---- equation 1

and total price of the gear with each item costing  $25 on sweatshirt $11 on  t-shirts be expressed as

25 s+ 11 t = 152---- equation 2

Step 2

s+ t= 10-----equation 1

25s+ 11t= 152----equation 2

By elimination method , multiply equation 1 by 10  and subtract equation 2 from it

25 s+ 25t= 250----- equation 3

-25s + 11t= 152-----equation 2

14t=98

t=98/14= 7

To find s, using equation 1

s+t=10

s= 10-7= 3

Abby bought 3 sweat shirts and 7 t shirt

The longest side of a triangle is 5 less than 3 times the shortest side and the remaining side is 4 cm. Find the lengths of the triangle if the perimeter is 19 cm

Answers

Answer:

4, 5, 10

Step-by-step explanation:

x=shortest side

one side =4

3x-5=long side

(3x-5)+x+4=19

4x-5+4=19

4x=20

x=5

long side = 3(5)-5=10

Beth has 250 comic books in her collection. She begins to sell 20 of them each week. Martin has 80 comic books in his collection. He begins buying 15 new comic books each week. Select from the choices below, dragging and dropping to build an inequality that could be used to determine when Martin's comic book collection exceeds Beth's.

Answers

Answer:

250 - 20 < 80 + 15x

Step-by-step explanation:

Given that

Beth has 250 books and 20 books sold each week

While on the other hand, Martin has 80 books and sell 15 books each week

Let us assume each week be x

Now the equations are  

Beth         250 - 20x            

Martin       80 + 15 x

Now the inequality would be

250 - 20 < 80 + 15x

10 is 60% of what number please help​

Answers

Answer:

600

Step-by-step explanation:

set x as the number

x0.10 = 60

x = 60/0.10

x = 600

Answer:

For me i think its 16.67 well im not fully sure

Step-by-step explanation:

SO we have to figure out what gives us 10 and that will be represented as "x"

[tex]\frac{60}{100}[/tex]  × x = 10

Multiplying both sides by 100 and dividing both sides by 60,

we have x = 10 × [tex]\frac{100}{60}[/tex]  so, x = 16.67

(that's what i believe but i don't know)

This table shows the population of caribou in an area over a period of years . a. What is the growth factor? b. Write an equation to model the population growth. C. How many caribou will there be in the area after 10 years? d. this model continues to hold true, how long until the caribou population exceeds one million?

Answers

Answer:

I Think its B

Step-by-step explanation:

Edge 2021

70 POINTS PLZZZZZZZZZ I WILL MARK BRAINLIEST
7. A computer software manufacturer wanted to know if its customers were satisfied with
the graphics in a new game program called Zinger they released six months ago. The
company randomly polled 1000 of the 50,000 people who had purchased the program.
Here is part of the results of the poll:
Zinger Program Graphics Percent
Satisfied with Graphics 42%
Not Satisfied with Graphics
No Opinion 13%
a. What percent of the 1000 game users surveyed were not satisfied with the graphics
of Zinger? (2 points)
b. Based on the survey findings, how many of the current 50,000 game users would the
company expect to not be satisfied with the graphics or to have no opinion? (3
points)
c. Based on the survey findings, the software manufacturer has decided to create a new
version of the game program with improved graphics. Why did they make this
decision? (2 points)

Answers

A. 45% of people were not satisfied
B. 29,000 would either have no opinion or unsatisfied
C. They would creat a new version sense only 42% of people that had bought their program had positive input, they would want a higher percentage of people that like their product and they wouldn’t want their products to get bad reviews

I AGREE WITH THE COMMENT ABOVE, THAT'S THE RIGHT ANSWER, I'VE GOT 100% OUT OF 100% JUST BCS I INSERT THAT ANSWER, VERY HELPFUL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


Please help out if you can-!

Answers

Answer:

the answer is 0.89

Step-by-step:

the first boxes under 62 will be 56

the second box under 56 will be 63

the 3rd boxes will be will be 63

the very top boxes will be 0.89

What is 4(2x- 2) + 22

Answers

Answer:

8x+14

Step-by-step explanation:

Destiny needs to save a 15 percent down payment for a car she wants to buy. She knows cars of this make and year model tend to sell for $9,000. How much will she need to save

Answers

Answer:

1,350

Step-by-step explanation:

15% of 9,000 is 1,350, you can multiply 9000 by .15.

Write the equation of the line, in slope-intercept form, with the
following information:
slope: -1
y-intercept: (0, -1)

Answers

Answer:

y = -x -1

Step-by-step explanation:

x1= 0, y1= -1

[tex]slope = \frac{x - x1}{y - y1} = \frac{x - 0}{y - ( - 1)} = \frac{x}{y + 1} [/tex]

-1 = x/(y+1)

-1 (y+1) = x

y+1 = -x

y= -x -1

The sum of two numbers is 52. The difference between the same two numbers is 6. Find the two numbers, and then find the PRODUCT of the two numbers.
Intitled Granh

Answers

Answer:

its 10

Step-by-step explanation:

Answer:

Let Two Numbers be=x and y

Sum of two Numbers=52

X+Y=52

X=52-Y. (Equation 1)

Difference=2

X-Y=2

.Putting Value of X=52-Y

52-Y-Y=2

52-2y=2

52-2=2y

50=2y

y=50÷2

y=25

We Get Y=25

X=52-Y

X=52-25

X=27

Prove

X+Y=52

27+25=52

X-Y=2

27-25=2

X=27

Y=25

Numbers=27,25

Step-by-step explanation:

:)

Ariane borrows $300 on a 4−year loan. She is charged 5% simple interest per year. How much interest is she charged for 4 years? What is the total amount she has to pay back?

Answers

I’m pretty sure 480...

Please do number 16 for me.

Answers

Answer: m∠5 = 75°.

Step-by-step explanation:

We know that lines A and B are parallel, and angles 1 and 5 are formed by the same line intersecting the parallel lines.

We know that:

"When a line intersects two parallel lines, corresponding angles are formed, such that we could think on four quadrants, the angles in each quadrant are equivalent between them"

Well, here we can see that angle ∠1 and angle ∠5 are formed by the same line, and both are in the same quadrant (would be the third quadrant if we use standard notation)

Then the measure of ∠1 is the same as the measure of ∠5

And we know that m∠1 = 75°

Then we must have that m∠5 = 75°.

Find the circumference of the circle shown: 10 ft

Answers

Answer:

31.42

Step-by-step explanation:

equation for solving is C= π d

circumference is  π x diameter

so therefore the new equation is π x 10

3.14 (π) x 10 (d) = 31.42

The amount of money in a bank account increased by 17.5 % 17.5% over one year. If the amount of money at the beginning of the year is represented by A A, which expression below represents the amount of money in the bank account after the increase?

Answers

Answer: 1.175A

Step-by-step explanation:

From the information given in the question, we are told that the amount of money that is in a bank account increased by 17.5% while the money at the beginning of the year is represented by A.

The expression that represents the amount of money in the bank account after the increase will be:

= A + (17.5% × A)

= A + (17.5/100 × A)

= A + (0.175 × A)

= A + 0.175A

= 1.175A

A bank loans a customer $100,000 for a period of 2 years. The simple interest rate of the loan is 5.7%. What is the total amount that the customer will need to pay the bank over the 2 years?

Answers

Answer:

$111400

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5.7%/100 = 0.057 per year,

then, solving our equation

I = 100000 × 0.057 × 2 = 11400

I = $ 11,400.00

The simple interest accumulated

on a principal of $ 100,000.00

at a rate of 5.7% per year

for 2 years is $ 11,400.00.

Someone please help me will mark BRIANLIEST

Answers

1. 44/100=176/400=220/500
2. 5/7=10/14=30/42
3. 7/9=35/45=49/63
4.3/6=9/18=6/12
5. 2/3=20/30=8/12
6. 2/8=4/16=14/56
7. 1/5=8/40=4/20
8. 43/50=344/400=215/250
9. 1/2=7/14=6/12
10. 1/5=7/35=2/10
11. 5/10=25/50=50/100
12. 1/4=3/12=2/8

-3x = -x + 4
Plz help

Answers

Answer: x=-2

Step-by-step explanation:

Given

-3x=-x+4

Add x on both sides

-3x+x=-x+4+x

-2x=4

Divide -2 on both sides

-2x/-2=4/-2

x=-2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = -2

Step-by-step explanation:

-3x = -x + 4

Add x to the left hand side to bring all like terms together.

-3x + x = 4

Combine like terms.

-2x = 4

Divide both sides by -2.

x = -2

Hope this helped!

Help!!!!! Also shoe the work plz!

Answers

Answer:

[tex]h=\frac{15.625}{pi}[/tex]

h ~ 4.974

Step-by-step explanation:

The formula for the volume of a cylinder is;

[tex](pi)(r^{2})(h)=V[/tex]

Where [tex](pi)[/tex] represents the value, [tex]3.1415...[/tex]

[tex](r)[/tex] represents the radius of the given cylinder. In other words, if one were to take a base (the flat side in the case of the cylinder) of the figure. The distance from the center to a point on the outside of the circle is the radius.

[tex](h)[/tex] represents the height of the object. In other words the distance between the two bases of the cylinder.

[tex]V[/tex] represents the volume, in other words, the space that the object takes up.

In this problem, one is given the diameter of the cylinder and the volume. One is asked to find the area.

The diameter of a circle is the distance between two opposite sides of the circle. The diameter will always pass through the center of the circle. To find the radius when given the diameter, one will divide by 2.

To solve this problem, one will substitute in the given information and solve for the height using inverse operations.

[tex](pi)(r^{2})(h)=V\\\\(pi)((\frac{8}{2})^{2})(h)=250\\\\(pi)(16)(h)=250\\\\(pi)(h)=15.625\\\\(h) = \frac{15.625}{pi}\\\\h- approx. 4.974[/tex]

3/9 x 6/3


all of us:

Answers

Answer:

2/3

[tex] \frac{3 \times 6}{9 \times 3} [/tex]

[tex] = \frac{18}{27} [/tex]

[tex] \frac{18 \div 9}{27 \div 9} [/tex]

[tex] = \frac{2}{3} [/tex]

What is the sum of the interior angles of the figure shown

Answers

Answer:

C

Step-by-step explanation:

The sum of the interior angles of a square = 360° ( 4 right angles )

The sum of the interior angles of a triangle = 180°

Then sum of interior angles of the figure is

sum = 180° + 180° + 360° = 720° → C

HELP ME PLEASE !!!!!!!!

Answers

Answer:

AB = 14

DE =7

Step-by-step explanation:

Remark

AB

Opposite sides of a parallelogram are equal.

AB = CD

AB = 14

DE

According to the diagram AE = 19

AD = 26 which is the same size as BC

DE = 26 - 19 = 7

DE = 7

Someone plz help me
I will give brainliest

Answers

Answer:

10 days

Step-by-step explanation:

2/.2=10

Answer:

D:10 days

Step-by-step explanation

1/5 ÷ 10 = 0.02 in decimal form.

hope that helps

anyone here good at math? go to my account to help me please!

Answers

Answer:

k

Step-by-step explanation:

Answer: Yeah, I'll help you!!! :)

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