Alice draws a triangle and measures two of the angles with a protractor. The angle measures are 65 and 45. Cal says the measure of the third angle is 60. Explain why Cal's answer is incorrect.

Answers

Answer 1

Answer: Cal's answer must be incorrect because the sum of angles is incorrect.

Step-by-step explanation:

The sum of all interior angles of a triangle is 180 degrees.

According to Cal, the three angles of the triangle has magnitude 65, 45 and 60 respectively.

Sum of angles = 65+45+60

i.e. Sum of angles = 170 which is not equal to 180

Hence, Cal's answer must be incorrect because the sum of angles is incorrect.


Related Questions

PLEASE HELP. I NEED ASAP WILL GIVE BRAINLIEST. WORTH A LOT OF POINTS

Ronald was given the pair of equations shown below, which are in slope-intercept form (y = mx + b):

y = 3x − 2
y = 5x − 6

Part A: Ronald does not know how to solve the system of equations. Help him by writing the slope (m) and y-intercept (b) for each equation, and in your own words, explain how you can solve the pair of equations graphically.

Part B: Now that you have helped get Ronald started, solve the system and write the solution to the pair of equations in (x, y) format so Ronald can check his work and answer.

Answers

Step-by-step explanation:

y = mx +b

m - the slope; b- y-intercept

therefore;

y = 3x - 4

m = 6; b = -4

y = 5x - 3

m = 5; b = -3

The coordinates of the point where the lines are crossed are the solution to the system of linear equations.

How to graph the lines:

y = 6x - 4

y-intercept (0; -4)

for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)

y = 5x - 3

y-intercept (0; -3)

for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)

***look at the img for graph reference***

Part B: x = 1; y = 2

please help if i don't pass I'm done

Answers

5 x 10 x 15 =750
5 x 5 x 5= 125
125+750= 875
875cm^2

Answer:

500cm^3

Step-by-step explanation:

Can be divided intI a square and cuboid

Volume of square= Length^4

Volume= 5^3

V=125cm^3

Volume of cuboid= L× B × H

Volume= 15× 5× 5

Volume=375cm^3

375+125= 500

Plz help me anyone it’s being timed

Answers

Answer:

consistent.

Step-by-step explanation:

if lines cross they're consistent. If they dont they're inconsistent and if they overlap completely they're equivalent

PLEASE HELP ASAP ILL MAKE BRAINLIEST HURRY

The graph below shows the amount of money earned based on the number of hours spent tutoring.



Select all the true statements based on the graph.

A
Point C represents the total amount earned after tutoring for 4 hours.

B
The total amount earned is $6 after tutoring for 90 hours.

C
The total amount earned is $15 per hour.

D
The point (5,75) represents that $75 was earned after tutoring for 5 hours.

Answers

Answer: C and D

Step-by-step explanation:

Answer:

A and B are both credible on the graph.

Explain how
you know you would use sine, cosine or tangent to
solve this. Explain thorougly
C
X
10
B В

Answers

Answer:

To solve for x,  I would use Cosine.

This is because cosine holds the ratio of adjacent/hypotenuse. Based on the diagram, we can see that HYPOTENUSE = x, so we are solving for x. We know the angle, is 17 degrees. Lastly, we know the triangle leg ADJACENT to the angle is 10 units long. So we would use cosine, implementing the ratio adjacent/hypotenuse. Solving this, we would use cos(17)=10/x. Then our goal is to isolate x, so cos(17)=10/x becomes cos(17)*x=10, we are still trying to isolate x, so, x=10/cos(17). Therefore, our answer  x = 10.457 units. cosine would be the best way to go.

Step-by-step explanation:

Please help me!
Find the indicated sum for each sequence.


S9 of –9, 36, –144, 576, ...

Answers

Answer:

the answer is to multliply it by -4

(trigonometry) solve for x

Answers

Answer:

x around 53.7

Step-by-step explanation:

We use cosine^-1 to solve for x

In the calculator put in cos^-1 (16/27)

See the picture below

what is law of sines

Answers

Answer:

In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles

The Law of Sines (or Sine Rule) is very useful for solving triangles:

a/sin A=b/sin B=c/sin C

hope this helps

have a good day :)

Step-by-step explanation:

Solve the angle using trigonometry

Answers

Answer:

Step-by-step explanation:

Um angle T and R don't exist on this triangle. Only sides and Angles A B C.

But remember Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

S o/h    C a/h    T o/a

To rent a certain meeting room, a college charges a reservation fee of 13 and an additional fee of 6 per hour. The chemistry club wants to spend less than 73 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room?

Use t for the number of hours.
Write your answer as an inequality solved for t.

Answers

Answe

I LIKE YR CUT G!

Step-by-step explanation:

helpppp!!!
Make a conjecture about the number of units produce in 50 hours

Answers

I think it would be 35/50 for the number of units produced in 50 hours. I had a question similar to this in a McGraw Hill Grade 8 math book.

is 3 bigger than 3.3

Answers

Answer:

No.

Step-by-step explanation:

3.3 is bigger than 3 by .3: )

Answer:

no.

3.3 > 3

Step-by-step explanation:

Please help me ASAP And show work please

Answers

Answer:

X = 11

Step-by-step explanation:

3^(x-7) = 81

Find what exponent makes three into 81

The answer: x = 11

Answer:

x = 11

Step-by-step explanation:

Given

[tex]3^{x-7}[/tex] + 4 = 85 ( subtract 4 from both sides

[tex]3^{x-7}[/tex] = 81

[tex]3^{x-7}[/tex] = [tex]3^{4}[/tex]

Since the bases on both sides are equal, both 3 then equate the exponents

x - 7 = 4 ( add 7 to both sides )

x = 11

inez sells 24.8 acres of land for 22,568 what is the price per acre

Answers

Answer:

£910

Step-by-step explanation:

You have to divide the amount of acres by the overall price.

Hope this helped

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Answers

Is this a zoom or am I trippin?

Priyah’s weekly earnings were proportional to the number of hours she worked. The table shows the number of hours Priyah worked and the amount she earned. How much money did Priyah earn per hour?

Answers

Answer:

$17.50 is how much Priyah makes per hour

PLEASE HELP! i will give brainliest

Answers

Answer:

2)  $300

Step-by-step explanation:

I used the the following two points to find slope:

(9,400) and (8,350) to get a slope of 50

therefore, f(x) = 50x

f(6) = 50(6)

f(6) = 300

-4i+ 3i= i- 8+ 3i- 12

Answers

Answer:

Step-by-step explanation:

-4i+3i=i-8+3i-12

-i=4i-20

20=4i+i

20=5i

20/5=i

4=i

The weight of oranges growing in an orchard is normally distributed with a mean weight of 5 oz. and a standard deviation of 0.5 oz. From a batch of 1500 oranges, how many would be expected to weight less than 5 oz., to the nearest whole number?

Answers

Answer:

The interval that would represent weights of the middle 95% of all oranges from this orchard is from 5 oz to 7 oz.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 6

Standard deviation = 0.5

Middle 95% of weights:

By the Empirical Rule, within 2 standard deviations of the mean.

6 - 2*0.5 = 5

6 + 2*0.5 = 7

The interval that would represent weights of the middle 95% of all oranges from this orchard is from 5 oz to 7 oz.

Simplify.
7/8 x 1 1/3

A. 7/24
B. 28/24
C. 1 1/6
D. 1 7/24

Answers

It’s A it’s honestly a simple equation just can’t explain it in typing
im pretty sure its a !!

What is the slope of the line shown below?

Answers

Answer: b

Step-by-step explanation:

what divided by 6 = 0.2

Answers

Answer:

6 divided by 30 is equal to 0.2.  

Step-by-step explanation:

You make the fraction into 6/30, you reduce it to 1/5 which then you do 1 divided by 5 which also gets you to 0.2.

Anyone please I need Help plssssss

Answers

Answer:   1/8

1 goes in the green blank space

8 goes in the gray blank space

========================================================

Explanation:

H = heads

T = tails

HHH means we get 3 heads in a row, HHT means heads twice then tails the third time, and so on.

Here are the 8 ways to flip three coins (note: 2^3 = 2*2*2 = 8).

HHHHHTHTHHTTTHHTHTTTHTTT

We see that HHH only comes up once out of 8 total times. Therefore, the probability of getting HHH is 1/8

------------

Another way to see the answer is note that P(H) = 1/2 is the probability of getting heads on a single coin flip

Then with two coin flips, we have P(HH) = P(H)*P(H) = (1/2)*(1/2) = 1/4. Each coin flip is independent of one another.

And finally, P(HHH) = P(H)*P(H)*P(H) = (1/2)*(1/2)*(1/2) = 1/8

4x+2=-13 solve for x

Answers

Answer:

Solution given

4x+2=-13

subtract each term by 2

4x+2-2=-13-2

divide both side by 4

4x/4=-15/4

we get

x=-15/4

is a required answer.

Let's solve:

[tex]4x+2=−13[/tex]

Step 1: Subtract 2 from both sides.

[tex]4x+2−2=−13−2 \\ 4x = - 15[/tex]

Step 2: Divide both sides by 4.

[tex] \frac{4x}{4} = \frac{ - 15}{4} [/tex]

Answer:

[tex] \frac{ - 15}{4} [/tex]

This is for math pls help I need this done

Answers

Answer:

its upside down turn it around

Step-by-step explanation:

hey! i’ll give brainliest please help

Answers

Answer:

a mans car...

Step-by-step explanation:

a man's car breaks down while driving to work

because all the other ones are in their head

Based on the pattern in the picture, how many squares do you think will be used to create the 5th figure? make a table.

Answers

Answer:

I think it is 7 squares.

Step-by-step explanation:

As you can see they added 3 more squares to the first block which gave you 4. Then they added 5 squares to the second one. If you take the third block, you will count 7 squares on the outside of the third block.

if y=4x what does m equal

Answers

Answer:

m equals 4

Step-by-step explanation:

m represents the slope of the line.

The line equation is y = mx + b, which means that m = 4 and b = 0

Find the inverse of function f. A.f-1(x)=7x+9 B.f-1(x)=1/9x-7/9 C.f-1(x)=7/9x-1/9 D.f-1(x)=-9x-7

Answers

Answer:

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Step-by-step explanation:

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The sphere at the right fits snugly inside a cube with 18​-in. edges. What is the approximate volume of the space between the sphere and​ cube?

Answers

Answer:

2,778 in³

Step-by-step explanation:

Volume cube

v = 18³

v = 5,832

Volume sphere

v = (4/3)π9³

v = 3,053.6280592893

Volume space

v = 5,832 - 3,053.6280592893

v = 2,778.3719407107

2,778 in³

Answer:

Step-by-step explanation:

We need to first find the volume of the cube, then subtract from it the volume of the sphere. This is what we are being asked to find. First, the volume of the cube is length times width times height. Since this is a cube, all of the sides are the same length, making the volume

V = 18³ so

V = 5832 inches cubed. Now for the sphere.

The formula for the volume of a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex] and we will use 3.1415 for π.

[tex]V=\frac{4}{3}(3.1415)(9)^3[/tex] which gives us

V = 3053.538

Subtracting the volume of the sphere from the volume of the cube:

V = 5832 - 3053.538

V = 2778.462 inches cubed

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