The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.
Please help!!!

Answers

Answer 1

Answer:

The first angle is the smallest

Step-by-step explanation:

Step one:

given data

Angle 1= x+37

Angle 2= 90

angle 3= x+67

We know that the sum of angle in a triangle is 180

so

x+3+90+x+67= 180

collect like terms

2x+160= 180

2x=180-160

2x= 20

divide both sides by 2

x= 10

Step two:

so

Angle 1= 10+37= 47 °

Angle 2= 90= 90

angle 3= 10+67= 77 °


Related Questions


7. By selling a bicycle for * 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price
will be
(a) 2,600
(b) 2,700
(c) 2,800
(d) 3,000
with steps

Answers

Correct option :[tex]= \color{plum}\bold{(b) \: 2,700}[/tex]Steps to derive answer :

Selling price of a bicycle = 2850

Profit percentage = 14%

We know that :

[tex]\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }[/tex]

Then, the cost price of this bicycle :

[tex] = \tt \frac{2850 \times 100}{100 + 14} [/tex]

[tex] = \tt \frac{285000}{114} [/tex]

[tex] =\color{plum} \tt2500[/tex]

Thus, the cost price of this bicycle = 2500

In another scenario :

Profit percentage = 8%

Cost price of the bicycle = 2500

Then, Selling price will be equal to :

Let x be the selling price of the bicycle.

[tex] = \tt2500 = \frac{\: x \: \times 100}{100 + 8} [/tex]

[tex] = \tt2500 = \frac{100x}{108} [/tex]

[tex] =\tt 100x = 2500 \times 108[/tex]

[tex] = \tt100x = 270000[/tex]

[tex] =\tt x = \frac{270000}{100} [/tex]

[tex] =\color{plum}\tt x = 2700[/tex]

Therefore, the selling price with a profit of 8% will be = 2700

A car rental company charges $26 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $18 per
day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?
O A 24 miles
OB. 32 miles
C. 42 miles
o D. 44 miles

Answers

the answer is b) 32 miles

Which expression is equivalent to - 2/3 (6x + 15) ?
A.
4x + 10
B.
4x – 10
C.
-4x - 10
D.
- 4x + 10

Answers

Answer:

-4x - 10

Step-by-step explanation:

Given the expression -2/3(6x+ 15)

Open the bracket

-2/3(6x+ 15)

= -2/3 (6x) -2/3(15)

= -2(2x) - 2(5)

= -4x - 10

hence the equivalent expression is -4x - 10


Find the value of x in rectangle BCDE.
Find Value of x.

Answers

Answer:

34

Step-by-step explanation:

Answer:

x=34

Step-by-step explanation:

2x=x+34

-x   -x

x=34

TADA! :D

What is the simplest form of this expression?
-x(4x2 - 6x + 1)

Answers

Answer:

−4x3+6x2−x

Step-by-step explanation:

(−x)(4x2−6x+1)

=(−x)(4x2+−6x+1)

=(−x)(4x2)+(−x)(−6x)+(−x)(1)

=−4x3+6x2−x

The ratio of children to adults in a supermarket is 1 : 5
There are 15 children in the supermarket.
How many adults are in the supermarket?
pls answer quickly thanks :)

Answers

Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else

Step-by-step explanation:

!!Please Help!! Find the value of z to the nearest tenth.

Answers

Answer:

x = 14[tex]\sqrt{2}[/tex]

y = 14

z= 14[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.

(4) B is the midpoint of AC, D is the midpoint of CE, find BD.

Answers

Answer:

A :10.5 is the answer

Step-by-step explanation:

10 Points + Brainliest to first correct answer. Please give explanation for Brainliest. Any fake answers will be reported and deleted.
Which diagram best shows how fraction bars can be used to evaluate 1/2 divided by 1/4?

Answers

the second one is correct

anyone know how to do this help

Answers

Answer:

Height if the tree: 13.8 meters

Answer:

Height of the tree: 13.8 meters

What is 2+2


A) 22

B) 4

C) 38

D) 55

Answers

Answer:

B

Step-by-step explanation:

Answer: 4

         ______

           _\ _~-\___

   =  = ==(____AA____D

               \_____\___________________,-~~~~~~~`-.._

               /     o O o o o o O O o o o o o o O o  |\_

               `~-.__        ___..----..                  )

                     `---~~\___________/------------`````

                     =  ===(_________D

PLEASE HELP ASAP!!

The graph represents which system of inequalities?

A.) y<=-2x+3
y<=x+3

B.) y>=-2x+3
y>=x+3

C.) y<=-3x+2
y<=-x+2

D.)y>-2x+3
y>x+3

Answers

Answer:

Its the yellow area

Step-by-step explanation:

What is the greatest common divisor between 621 and 1035.

Answers

Answer:

207

Step-by-step explanation:

Can somebody help me. Will mark brainliest.

Answers

Answer:

the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)

Step-by-step explanation:

1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle

Guys I rlly need help this due in 4 minutes, whats 1683 divided by 383 please help me

Answers

Answer:

1683 / 383 = 4.39 or approx 4.4

Answer:

4.39425587467 or 4 remainder 151.

Step-by-step explanation:

Long division.

help pls1ssssssssssssssssssssss

Answers

Answer:

108 bottles

Step-by-step explanation:

[tex] \frac{4.536}{0.042} = 108 \: bottles[/tex]

Answer:

108 bottles

Step-by-step explanation:

[tex]\frac{4.536}{0.042}[/tex]=108

Sneakers at Mr lou's garage sale cost the same price. alexander paid $90.52 for four pairs. How many pairs of sneakers did justin buy if he paid $135.78? write a proportion and use cross products to solve for d, the number of sneakers that David bought.

Answers

Answer 6

Step-by-step explanation:

I found the answer on calculator

Pls explain how you got the answer also ☺️

Answers

Answer: x = 250

Step-by-step explanation:

-17 + x/5 = 33

+17 on each side to get rid of the 17

x/5 = 50

Multiply each side by 5 to cancle out the 5 and isolate the variable

x = 250

7(n - m) for m = 4 and n = 15

Answers

Answer:

63

Step-by-step explanation:

7(15-4)

7(9)

63

Maggie saves money in a jar over a period of 5 weeks, as shown in the table.

A. S = 1.50w + 2.50
B. S = 2.50w + 1.50
C. S = w - 0.50
D. S = w +2.50​

Answers

I’m not sure. I would think it would be b done that is the most reasonable choice

Describe and correct the error in using properties of parallelograms.

Answers

Answer/Step-by-step explanation:

Opposite angles of a parallelogram are equal to each other.

Therefore, <S = <U, and <T = <V

Consecutive angles of a parallelogram are supplementary.

Therefore,

m<S + m<V = 180°

50° + m<V = 180°

m<V = 180° - 50° (subtraction property of equality)

m<V = 130°

Which of the following situations can be described by the equation 2x – 4 = 10?

Answers

Step-by-step explanation:

Add 44 to both sides.

2x=10+4

2x=10+4

2 Simplify 10+410+4 to 1414.

2x=14

2x=14

3 Divide both sides by 22.

x=\frac{14}{2}

x=

2

14

4 Simplify \frac{14}{2}

2

14

to 77.

x=7

x=7

Done

help me, please math

Answers

Answer:

i think its c

Step-by-step explanation:

what is the value of x? -6x=90
Please show you got the answer

Answers

Answer:

-15

Step-by-step explanation:

-6x = 90

x = 90 ÷ -6

x = -15

Answer:

X = -15

Step-by-step explanation:

90/-6 is equal to -15.

You divide the number from the side with the variable from the other side of the = sign.

What is the solution set for the inequality below
-3x + 15 < 18

Answers

Answer:

x > -1

Step-by-step explanation:

-3x + 15 < 18

Subtract 15 from each side

-3x + 15-15 < 18-15

-3x < 3

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 3/-3

x > -1

I need help I don’t get the question

Answers

They are equal to each other
9x - 7 = 7x - 3
2x = 4, x = 2
Solution: x = 2

Answer:

2

Step-by-step explanation:

9x-7 = 7x-3

9x-7x = 2x

2x -7 = -3

   +7   +7

2x=4

x=2

2. Find the distance between the two points on the coordinate plane given below.

Answers

The answer to this is 5

Select the equation that represents the graph above.


y=x√−2y is equal to square root of x minus 2 , ,


y=x√+2y is equal to square root of x plus 2 , ,


y=x+2y is equal to x plus 2 , ,


y=x+2−−−−−√

Answers

Answer:

                                                          _

just did the test and got it right its /x + 2

Step-by-step explanation:

just did the test i cant make the simble though but the right answer is the one where the line is only above the x oh wait actually i see your questions know my delete key broke soooo its the 2nd option

Solve: a + 4 = 48
a = 43
a = 51
a = 44
a = 52

Answers

Answer:

a = 44 is correct

Step-by-step explanation:

a + 4 = 48

plug in the #'s 1 at a time

43 + 4 = 48

47 = 48  FALSE

51 + 4 = 48

55 = 48  FALSE

44 + 4 = 48  TRUE

52 + 4 = 48  FALSE

Hope this Helps!!!

Answer:

Your answer would be a= 44

Step-by-step explanation:

44+4=48

To check: 48-4=44

Therefore, your answer is 44

How many solutions are there to the following equation?
5 ( x-3 ) - 3x = 8x - 15 - 6x

A) exactly two solutions
B) exactly one solution
C) no solution
D) infinitely many solutions

Answers

Answer:

D) infinitely many solutions

Step-by-step explanation:

5 ( x-3 ) - 3x = 8x - 15 - 6x

5x - 3x - 15 = 8x - 6x - 15

2x - 15 = 2x - 15

2x = 2x

Since, equations of both lines are same. Therefore, there are infinitely many solutions.

Answer:

D

Step-by-step explanation:

Given

5(x - 3) - 3x = 8x - 15 - 6x

5x - 15 - 3x = 2x - 15

2x - 15 = 2x - 15

Since both sides are the same then any real value of x will be a solution.

That is there are infinitely many solutions

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