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stepan [7]
2 years ago
14

How to find the intersection of -3x+y=9 and 4x-7y=5

Mathematics
1 answer:
pogonyaev2 years ago
3 0
Intersection
x - 7,0
y - 0,-4
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What is the value of x? assume that the line is tangent to the circle
nekit [7.7K]

Answer:

70°

Step-by-step explanation:

Connect the center of the circle with endpoints of the chord. Let the center of the circle be point O and endpoints of the chord be points A (let point A lie on the tangent line too)and B.

From the figure, central angle AOB has the measure of 220°.

Consider triangle AOB. This triangle is isosceles triangle because OA and OB are both radii. In this triangle the measure of angle AOB is 360° - 220° = 140°.

Angles OAB and OBA are angles adjacent to the base AB, so they are congruent. The sum of the measures of all interior angles in triangle is always 180°, so

m∠OAB + m∠OBA + m∠AOB = 180°

m∠OAB = m∠OBA = 1/2 (180° - 140°)

m∠OAB = 20°

Since drawn line is tangent line, then OA is perpendicular to this tangent line and

x° = 90° - 20°

x° = 70°

4 0
3 years ago
A bike cost $500 and another costs $600 the more expensive bike Is 20% more that the other justify your answer.
Vsevolod [243]
The more expensive bike could be a bigger size so in stead of being a 20 inch it could be a 24 inch, another option is that one bike is made by a lower brand name company hile the expensive one is a better well know company so in that case the extra $100 is just a added price for the name. Last option is one's on sell and ones not. I hope this helped! :)
4 0
3 years ago
3. Three soccer players are scored 25 goals this season.
Varvara68 [4.7K]

The mean goals scored by the soccer players this season is 18.3 goals

<h3>What is mean? </h3>

Mean is the ratio of the sum of data to the total sample of data.

If three soccer players are scored 25 goals this season., five soccer players  scored 19 goals this season and ten soccer players scored 16 goals this season, the mean goal scored is expressed as:

Mean goal scored = 3(25)+5(19)+10(16)/3+5+10

Mean goal scored = 75 + 95+160/18

Mean goal scored = 330/18

  • Mean goal scored = 18.3 goals

Hence the mean goals scored by the soccer players this season is 18.3 goals

Learn more on mean here: brainly.com/question/20118982

3 0
2 years ago
Find the simple interest earned on $2600 invested for 3 years at 12% per annum​
Aleks04 [339]

Answer:

$936

Step-by-step explanation:

Simple interest is money you can earn by initially investing some money (a.k.a the principal). In return, a percentage (a.k.a the interest) of the initial money invested is added to the principal, this is what makes your initial investment grow.

The equation for simple interest is:

I = P x r x t

P = Principal, $2600

r = interest rate, 12%

t = time involved, 3 years

Fill in the values:

2600 × 0.12 × 3 = $936.00

5 0
3 years ago
Read 2 more answers
PLS HELP ANSWER ASAP MARK BRAINLEIST​
Alenkinab [10]

X is always dependant to Y. so that should answer the 1st one. the 2nd looks to be around 17-18. 17.5 maybe. and the 3rd is yes cause he does not go to the pool so it isnt any cost.

3 0
3 years ago
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