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bija089 [108]
3 years ago
6

Triangle ABC measures are as follows; Angle A measures 30 degrees, angle B measures (3x-9) degrees and angle C measures 29 degre

es. What is the value of x?
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0

Answer:

x = 43 1/3 degrees

Step-by-step explanation:

sum of interior angles in a triangle = 180 degrees

30 + (3x - 9) + 29 = 180

30 + 29 + (3x - 9) = 180

59 + (3x - 9) = 180

(3x - 9) = 180 - 59

(3x - 9) = 121

3x = 121 + 9

3x = 130

x = 43 1/3

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A sporting goods store ordered new bikes and scooters. For every 3 bikes ordered, 4 scooters were ordered. However, bikes were m
Naddik [55]
<span>1.       </span><span>Original ratio of the bike and scooter is equals to :
=> 3 : 4, where 3 is the bike and 4 is the scooter
=> 48 bikes
=> original order = 64 scooter
=> 64 / 4 = 16
however, bike is more popular than scooter, so they changed it into new ratio:
=> 5 : 2 , where 5 is equals to bikes and 2 is equals to scooter.
=> 5 x 16 = 80 bikes
=> 2 x 16 = 32 scooter.</span>



4 0
3 years ago
19x+15y=-6 changed into slope intercept form.
attashe74 [19]

Answer:

y = - \frac{19}{15} x - \frac{2}{5}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

19x + 15y = - 6 ( subtract 19x from both sides )

15y = - 19x - 6 ( divide all terms by 15 )

y = - \frac{19}{15} x - \frac{6}{15}, that is

y = - \frac{19}{15} x - \frac{2}{5} ← in slope- intercept form

7 0
3 years ago
Read 2 more answers
1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of v
zhenek [66]

Answer:

(1) The required ratio of spirit to varnish is 1:3.

(2) You need 80 ml of mineral spirit.

(3) The ratio of tapestries' heights to width is 3:2.

Step-by-step explanation:

(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.

So, \frac{spirit}{varnish}=\frac{25}{75}

                  =\frac{1}{3}

Thus, The required ratio of spirit to varnish is 1:3.

(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.

Let x be the quantity of total solution.

Then, 240:x=3:4.

⇒\frac{240}{x}=\frac{3}{4}

⇒3x=240*4

⇒x=\frac{240*4}{3}

⇒x=320

That is, total solution is 320 ml.

Now, Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.

(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.

Then, dimensions are 15m long and 10m wide.

Now, Height : Width = 15:10

⇒\frac{Height}{Width} =\frac{15}{10}

⇒\frac{Height}{Width} =\frac{3}{2}

Hence, the ratio of tapestries' heights to width is 3:2.

8 0
3 years ago
Triple the sum of 24 and 9
inessss [21]

so you would multiply 3 by the sum of 24 and 9...

3(24+9)=3(33)=99

4 0
3 years ago
jack has $7.55 of change in his pocket. if he has 4 more dimes than than nickels, and twice as many quarters as nickels, how man
dolphi86 [110]

Answer:

11 nickels, 15 dimes, 22 quarters

Step-by-step explanation:

number of nickels = x

number of dimes = x+4

number of quarters = 2x

- - - - - -

total of nickels = 5x cents

total of dimes = 10x + 40 cents

total of quarters = 50x cents

- - - - - -

755 = 5x + 10x + 40 + 50x

755 = 65x + 40

715 = 65x

x = 11

x+4 = 15

2x = 22

8 0
3 years ago
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