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Ludmilka [50]
3 years ago
6

Solve both questions please ❤️❤️

Mathematics
1 answer:
harina [27]3 years ago
8 0

Answer:

1. y=7.2

2. x=18

Step-by-step explanation:

1. Triangles CMN and CBA are similar triangles (by AAA postulate). Similar triangles have proportional corresponding sides, so

\dfrac{CM}{CB}=\dfrac{CN}{CA}\\ \\\dfrac{12}{12+y}=\dfrac{10}{10+6}\\ \\12\cdot 16=10\cdot (12+y)\\ \\192=120+10y\\ \\10y=72\\ \\y=7.2

2. GK is angle G bisector. Use angle bisector's property:

\dfrac{GH}{GI}=\dfrac{KH}{KI}\\ \\\dfrac{40}{24}=\dfrac{30}{x}\\ \\40x=24\cdot 30\\ \\4x=24\cdot 3\\ \\x=6\cdot 3=18

You might be interested in
What is the length side of a triangle that has vertices at (-5, -1), (-5, 5), and (3, -1)?
spayn [35]

Answer: 6,8 and 10

Step-by-step explanation:

To find the length , all we need to find is the distance between each point ,

the formula for calculating distance between two points is given by :

D = \sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}

Let the points be :

A ( -5,-1)

B(-5,5)

C(3,-1)

Calculating the length AB , we have

D1 = \sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}

D1 = \sqrt{(-5+5)^{2}+(5+1)^{2}}

D1 = \sqrt{36}

D1= 6

Calculating the length AC , we have

D2 = \sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}

D2 = \sqrt{(3+5)^{2}+(-1+1)^{2}}

D2 = \sqrt{64}

D2 = 8

Calculating the length BC , we have

D3 = \sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}

D3 = \sqrt{(3+5)^{2}+(-1-5)^{2}}

D3 = \sqrt{100}

D3 = 10

Therefore ,the length of the sides of the triangle are 6,8 and 10

3 0
3 years ago
X^2+6X=16 is a quadratic equation what are the solutions?
IgorC [24]
The answer is 2,-8.
But I am not sure. Hope this will help you!
4 0
3 years ago
Read 2 more answers
a line represented by y = 3x − 1 and a line perpendicular to it intersect at r(1, 2). what is the equation of the perpendicular
Vlada [557]
Y= -1/3x is the equation of tge perpendicular line
7 0
3 years ago
PLEASE HEL MUST BE DONE URGENTLY
LekaFEV [45]
Y = x + 2 is closest to what I believe is the solution.

If the club begins with 2 members, then +2  MUST appear in the formula.

If the club adds 2 members every week, then the total number of members would be

f(x) = y = 2 + 2(x-1), where x is the number of weeks.

Test this:  If x = 1, then y = 2+2(1-1) = 2 + 0  = 2.  This is correct.  The club began with 2 members in week 1

8 0
3 years ago
Read 2 more answers
“3 less than the quotient of y and 4”
Bingel [31]

Answer:

Expression:

\dfrac{y}{4}-3

Value where y = 20

2

Step-by-step explanation:

Let's take a look at the sentence:

3 less than the quotient of y and 4

3 less indicates that you will subtract

   - 3

Quotient means the result of division.

\dfrac{y}{4}

So if we combine the two, it says 3 less than the quotient so we subtract 3 from the quotient:

\dfrac{y}{4}-3

So if y = 20, we just substitute the y with 20

\dfrac{y}{4}-3

\dfrac{20}{4}-3

5-3=2

8 0
3 years ago
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