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Finger [1]
2 years ago
5

You and your friend go bowling your score is 6 more that twice your friends score if your score is 212 what is your friends scor

e
Mathematics
1 answer:
kotegsom [21]2 years ago
8 0

Answer:

103

Step-by-step explanation:

your friend's score=x

twice your friend's score=2*x

then your score=6+2*x

Given that your score is=212

In other words, 6+2*x=212

2*x=212-6

2*x=206

x=206/3

x=103

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The sides of a rhombus with angle of 60° are 6 inches. Find the area of the rhombus.
ehidna [41]
1. Check the drawing of the rhombus ABCD in the picture attached.

2. m(CDA)=60°, and AC and BD be the diagonals and let their intersection point be O.

3. The diagonals:
     i) bisect the angles so m(ODC)=60°/2=30°

     ii) are perpendicular to each other, so m(DOC)=90°

4. In a right triangle, the length of the side opposite to the 30° angle is half of the hypothenuse, so OC=3 in.

5. By the pythagorean theorem, DO= \sqrt{ DC^{2}- OC^{2} }=  \sqrt{ 6^{2}- 3^{2} }=\sqrt{ 36- 9 }=\sqrt{ 27 }= \sqrt{9*3}= 
=\sqrt{9}* \sqrt{3} =3\sqrt{3}  (in)

6. The 4 triangles formed by the diagonal are congruent, so the area of the rhombus ABCD = 4 Area (triangle DOC)=4*\frac{DO*OC}{2}=4 \frac{3 \sqrt{3} *3}{2}==2*9 \sqrt{3}=18 \sqrt{3} (in^{2})

6 0
3 years ago
What is the solution to the equation 6y –2(y + 1) = 3(y – 2) + 6?
tensa zangetsu [6.8K]

Answer:

y = 2

Step-by-step explanation:

6y - 2(y + 1) = 3(y - 2) + 6

6y - 2y - 2 = 3y - 6 + 6

6y - 2y - 2 = 3y

4y - 2 = 3y

4y - 2 + 2 = 3y + 2

4y = 3y + 2

4y - 3y = 3y - 3y + 2

y = 2

6 0
3 years ago
F(x) ≥ -(x+4)^2<br>axis of symmetry: <br>vertex:
BlackZzzverrR [31]

Answer:

so the vertex is (-4, 0) and the axis of symmetry is x=-4

Step-by-step explanation:

f(x) ≥ -(x+4)^2

f(x) ≥ -(x- -4)^2

this is in the form

f(x)> a(x-h)^2 +k

where (h,k) is the vertex and h is the axis of symmetry

so the vertex is (-4, 0) and the axis of symmetry is x=-4

6 0
3 years ago
How do you determine the perimeter of a square
Ivanshal [37]

Answer:

You add all of the sides... or you can multiply one side with 4.

Hope this helps! Please mark as brainliest.

Congrats on your first question using brainly!

3 0
3 years ago
Read 2 more answers
0.9a - 2.3b =<br> Help me outtt :(
Romashka [77]
The answer is 1/10 x (9a-23b)
7 0
3 years ago
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