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

Answers

Answer 1

Answer:

The smallest angle in the triangle is 30°

Step-by-step explanation:

You can solve this by including the fact that the sum of the angles in the triangle has to be 180 degrees. We're given values describing the angles, so we can simply add them together, say the equal 180, and solve for x:

[tex](x + 37) + 90 + (x + 67) = 180\\2x + 37 + 90 + 67 = 180\\2x + 194 = 180\\2x = 180 - 194\\2x = -14\\x = -7[/tex]

The smallest angle then is x + 37, or 37 - 7, giving us 30°

Answer 2

If three angles of a triangle measure x+37, 90, and x+67. Then 30 degrees is the measurement of the smallest angle in degrees.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given,

The three angles of a triangle measure x+37, 90, and x+67.

We need to find the measurement of smaller angle.

From angle sum property we know that the sum of three angles is equal to 180 degrees.

x+37+90+x+67=180

2x+194=180

Subtract 194 from both sides

2x=180-194

2x=-14

Divide both sides by 2.

x=-7

Substitute the value of x in smallest angle

x+37

-7+37=30

Hence the measurement of the smallest angle in degrees is 30

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ2


Related Questions

The sum of the perimeters of 2 different squares is 68 feet, and the difference between their perimeters is 12 feet. What is the side length of

each square?

Answers

9514 1404 393

Answer:

10 ft7 ft

Step-by-step explanation:

The side lengths are 1/4 of the perimeter, so we can say ...

  the sum of side lengths is 68 ft/4 = 17 ft

  the difference of side lengths is 12 ft/4 = 3 ft

Using x to represent the side length of the smaller square, we have ...

  x + (x +3) = 17 . . . . . . the larger square has side length x+3

  2x = 14 . . . . . . . . . subtract 3

  x = 7 . . . . . . . . divide by 2

The side lengths of the squares are 7 feet and 10 feet.

5+2x+6=x +10
Solve this equation and show ur work

Answers

Answer:

x = -1

Step-by-step explanation:

5 + 2x + 6 = x + 10

11 + 2x = x + 10

      -x      -x

11 + x = 10

-11          -11

x= -1

Answer:

1

1

+

2

=

+

1

0

Step-by-step explanation:

it was the aaaa the we as  be the

For the function of f ( x ) = − 2 x^ 2 + x + 1, find f (3).

Answers

Step-by-step explanation:

f(3)= -2×3²+3+1

= -18+3+1

= -14

hope it helps.

Answer: = ± 2 √ 2

Step-by-step explanation:

brainliest or whatnot just answer it

Answers

Answer:

the answer is y=2x-3

Step-by-step explanation:

4/2=2 slope

1-4= -3 y-intercept

hope this helps!

Which equation can be used to find the missing angle?

a. X + 90 = 180
b. X + 40 = 90
c. 180 - 40 = x

Answers

Answer:

A, all three angles of a triangle equal 180

Answer:

b. x + 40 = 90

Step-by-step explanation:

This is a right triangle, so we already know one of the angles is 90 degrees. The other angles combine to make the other 90 degrees. So, we have to figure out what the other angle is, as the second one is 40 degrees.  To figure that out, use the equation x + 40 = 90. (This is extra, but x is 50, right?)

When you make a cake the diameter should be 12 inches. The Bakers of
America accept a variance of .5 inch. Therefore, 12 – 12.5 Find the
least acceptable diameter for your cake.

Answers

Answer:

11.5 inches

Step-by-step explanation:

Just subtract the .5 inch from 12. The max of variance that it can have.

Mile is obsessed with her new book she started. She read 185 pages in 2 days. If she keeps up this pace about how many pages will she have read after 5 days

Answers

Answer:

462.5 pages

Step-by-step explanation:

You find out how many books she reads in 1 day then you can multiply it by 5 to get 5 days.

If she reads 185 in 2 days. Divide 185 by 2 to get 1 day.

185/2 = 92.5 pages

Now multiply 92.5 by 5 to get how many pages she read after 5 days.

92.5 x 5 =    462.5 pages

How many cups are in 16 quarts? 1 quart = 4 cups

Answers

Answer:

64

Step-by-step explanation:

4 cups * 16 quarts = 64 cups

The answer is 64. Set it up like this
1 quart =4 cups
16 quarts-=?
Multiply 16 times 4 which is 64

17. Pour faire des petits cadeaux à ses proches, Johanne a décidé d'acheter
des petites feuilles en sucre d'érable au coût de 1,14$ chacune. Si elle a
dépensé 13,68$ au total, combien de feuilles a-t-elle achetées ?​

Answers

Answer:

12

Step-by-step explanation:

divisez 13.68 par 1.14 et vous obtenez 12.

Pour confirmer votre réponse, multipliez 1.14 par 12 et vous obtiendrez 13.68 (ce avec quoi vous avez commencé)

plssss say this makes sense i know absolutely nothing about french

how do I solve this ​

Answers

Answer:

4 hours

Step-by-step explanation:

120-72=48

48÷12=4

Answer:

4

Step-by-step explanation:

The total amount was $120.

A portion of the $120 was for parts.

The rest of the $120 was for service. Service cost $12 per hour.

Start with $120.

Subtract $72 to find the amount spent on service.

$120 - $72 = $48

$48 was spent on service.

The service costs $12 per hour.

$48/($12/hour) = 4 hours

Answer: 4 hours

Check:

$72 in parts + 4 hours * $12/hour = $72 + $48 = $120

4 hours is correct.

Can someone help me plz

Answers

Answer:Titus is going to invest $500. Bank A offers a simple interest rate of 4%, while Bank B offers an interest rate of 3% compounded annually. In the long run, after many years, which bank account will grow the largest?

Step-by-step explanation:

what is the slope of the line below?
give an exact number. plz help !

Answers

Slope=2/3 you count up two and over three
using rise/run would give 4/4 and when simplified would b 1

Please help, I’m literally crying

Answers

Answer:

1 because 91-18=1

Step-by-step explanation:

Solve log2x = log53 + 1 by graphing. Round to the nearest tenth.
What does X equal?

Answers

Answer:

3.2 plz help me to

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

18 bottles of water cost $9. How much does it cost for one bottle of water? How much bottles can you buy with $6?​

Answers

Answer:

Water cost 2$ you can buy 3 water bottles with 6$

Step-by-step

I did myself

Answer:

one bottle of water is 0.5 dollars. You can buy three bottles of water for $6

Step-by-step explanation:

since 9 divided by 18= 0.5, this is how it goes

18 bottles broken up into sections of one (one bottle in each section)

so you have to break up the dollars into cents to put an equal amount with each bottle. So you get 100 pennies for each dollar. There's only 9 dollars, so you split the pennies (that you broke from the 9 dollars) and put one in each section (each section still has one bottle) so each bottle with get one more penny with every round. The bottles take turns getting pennies. After you do all of them you will get 0.5 dollars for each bottle so that's how much the bottles cost.

The bottles cost 0.5 dollars.

Now we do this with 6 dollars instead of 9. You now know that each bottle cost 0.5 dollars so you have to do this

0.5 x 6 which = 3.

You can buy 3 bottles with $6.

I hope this helps!

Evaluate the expression, if x = 6, y = 8, and z = 4. 6x - y N​

Answers

it’s , 7

because you need to reduce the expression if possible by canceling the common factor

7

Step-by-step explanation:

first plug in all your numbers to get

6×6-8

4

then do the multiplication to get

36-8

4

next do you subtraction to get

28

4

last you divide to get

7

Little help with my math please

Answers

**Siri** I’m not sure I understand

For the following, select an equivalent expression in standard form: (6n4 – 9n + 2) - (-51"+17n4 + 5).

Answers

Answer:

56/5

Step-by-step explanation:

[tex] \frac{0 \frac{4 \frac{y1 \frac{ { {. \frac{ {x}^{?} }{?} }^{2} }^{2} \times \frac{?}{?} \times \frac{?}{?} }{?} \times \frac{?}{?} \times \frac{?}{?} }{?} }{?} }{?} [/tex]

[tex] {4445xx \frac{51}{?} \times \frac{?}{?} }^{?} [/tex]

Answer: The answer is D

5n^7 - 11n^4 - 9n - 3

Step-by-step explanation:

Зу + 9x = 12
y=mx+b

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

3y + 9x = 12

subtract 9x

3y = 12 - 9x

divide by 3 on both sides

y = 4 - 3x

or

y = -3x + 4

Answer:

y=-3x + 4

Step-by-step explanation:

Convert standard form equation into y-intercept form

3y +9x=12

3y= 12-9x

Divide both sides by 3 to isolate the y (you can flip the equation if it is easier)

y= -3x+4

hope this helps and have a great day :)

PLEASE HELP I NEED DONE BY 3 10!!!!!! NUMBER 7

Answers

Answer:

115

Step-by-step explanation:

Answer:

there are 120 animals

Step-by-step explanation:

if cows are 40%, then "not cows" is 60%

so 72 animals 60% of all the animals on the farm

60% of 120 is 72

state the slope and y-intercept for the graph of the equation y=-3x+5

Answers

Answer:

slope: -3

y-intercept: 5

Step-by-step explanation:

y=mx+b, where m=slope and b=y-intercept

Answer:

The slope is -3 and y is 5. hope that helped

What is 12 divided by 2/3 and why? Please help

Answers

Answer:

8

Step-by-step explanation:

12/3=4

4 times 2=8

Find the Slope of the line that passes through the given coordinates. Enter as a fraction please

(11,7) and crosses the y-axis at 17 ​

Answers

Answer:

follow the steps and you'll understand the question

A bread recipe calls for 1/4 tsp of salt. How much salt is needed to make 6 loaves of bread?​

Answers

Answer:

1 1/2 tsp

Step-by-step explanation:

solve x for triangle

Answers

Answer:

x = 69

Step-by-step explanation:

By exterior angle theorem:

x° + 43° = 112°

x° = 112° - 43°

x ° = 69°

x = 69

11. Find f(-1) for the function. f(x) = 3x - 4

Answers

Answer:

It is -7.

Step-by-step explanation:

Since x = -1, we can replace the x with -1 to get: -3 - 4 which is -7.

Answer: The answer is -7 for #11

Step-by-step explanation:f(x) = 3x - 4

f(x) = 3(-1) - 4 plug in -1 in x

-3-4 subtract both -3 and 4

-7 the answer

The ratio of red pens to black pens is 2:9, the ratio of black pens to blue pens is 5:4. Show less than 50% of the pens are black

Answers

Answer:

is that all?

Step-by-step explanation:

Put these numbers in order of their distance from 0 on the number line, starting with the smallest distance. -26,-12.7,-9/2,2/100,::7,::11/1/4,::41/2

Answers

Answer:

2/100, -9/2, 7, 11 1/4, 12.7, 41/2, -26.

Step-by-step explanation:

Given,

Points are -26,-12.7,-9/2,2/100,7,11 1/4,41/2

We have to arrange the number according to their distance from 0.

Simplifying Points

= -26, 12.7, -4.5, 0.02, 7, 11.25, 20.5

Now, arranging the number starting from the smallest distance from 0.

0.02, -4.5, 7, 11.25,12.7,20.5,-26

= 2/100, -9/2, 7, 11 1/4, 12.7, 41/2, -26.

Combine like terms to simplify the expression:
2 + 7x + 3 – 5x - 1 =
A.4 + 2x
B.4 - 2x
C.6x
D.5-2x
E.5+12x

Answers

Answer:

A.  4 + 2x

Step-by-step explanation:

2 + 7x + 3 – 5x - 1

= 2 + 3 - 1 + 7x - 5x

= 4 + 2x

A student wants to buy a violin and take lessons.

The violin costs
$
95.
The lessons cost
$
65
per hour.

Answers

Answer:

All together it will be 160

Step-by-step explanation:

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