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3 years ago

8

Use the figure below to find the values of x and y

2 answers:

Alisiya [41]3 years ago

6 0

Answer:

x=68 and y = 112

Step-by-step explanation:

angles of a triangle must equal 180, so

52°+60°+x°=180

112+x=180 <-- subtract 112 to get x on one side.

x=68

To solve for y, a straight line = 180 so

68+y=180 --> just subtract 180-68

y=112

irinina [24]3 years ago

3 0

Step-by-step explanation:

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How do you do this question

maxonik [38]

Answer:

I am not sure about the actual answer but hopefuly you figure this out

Step-by-step explanation:

To get the number of boys and girls you do 3+5 to get 8. 120 divided by 8 is 15. so every digit in the ratio is 15 students. 15x3 is 45 and 15x5 is 75. there are 45 girls and 75 boys. 16/25 of the boys go climbing. There are 75 boys so you do 16x3 because 25x3 is 75 so 16x3 is 48. 48 boys go climbing. 120-48 is 72. and 27 boys go sailing.

8 0

3 years ago

8.7204 i expanded form

maria [59]

8 + 0.7 + 0.02 + 0.0004 is 8.7204 in expanded form

8 0

3 years ago

Triangle IJK is similar to triangle LMN. Find the measure of side LM. Round your answer to the nearest tenth if necessary.

Andre45 [30]

Answer:

It's either 39.2 or 39.3 (a more accurate answer) because it depends on what you round by. since it's Delta Math, you should get 2 attempts.

Step-by-step explanation:

Since they are similar, they are proportional.

54/11=4.90909091 or 4.9

Multiply 11 by 4.90909091 and you get 54

Multiply 8 by 4.90909091 and you get 39.3

if you multiply by 4.9 you get 39.2

8 0

2 years ago

Solve for x<br><br> THANK YOU

Anestetic [448]

Answer:

$x=\dfrac{-17+ \sqrt{451} }{18}, \quad x=\dfrac{-17- \sqrt{451} }{18}$

Step-by-step explanation:

$\textsf{Given equation}:$

$\dfrac{2}{3}x+\dfrac{3x}{x}=\dfrac{4x}{2}(3x+6)$

$\textsf{Cancel the common factor } x \textsf{ in }\dfrac{3x}{x}:$

$\implies \dfrac{2}{3}x+3=\dfrac{4x}{2}(3x+6)$

$\textsf{Simplify }\dfrac{4x}{2}\textsf{ by dividing the numbers}:$

$\implies \dfrac{2}{3}x+3=2x(3x+6)$

$\textsf{Apply the distributive law}\quad \:a\left(b+c\right)=ab+ac:$

$\implies \dfrac{2}{3}x+3=6x^2+12x$

$\textsf{Multiply both sides by 3 to cancel the denominator of }\dfrac{2}{3}:$

$\implies \dfrac{2}{3}x\cdot 3+3\cdot 3=6x^2\cdot 3+12x \cdot 3$

$\implies 2x+9=18x^2+36x$

$\textsf{Switch sides}:$

$\implies 18x^2+36x=2x+9$

$\textsf{Subtract }2x \textsf{ from both sides}:$

$\implies 18x^2+36x-2x=2x+9-2x$

$\implies 18x^2+34x=9$

$\textsf{Subtract 9 from both sides}:$

$\implies 18x^2+34x-9=9-9$

$\implies 18x^2+34x-9=0$

Solve using the <u>Quadratic Formula:</u>

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Define the variables:

$\implies a=18, \quad b=34, \quad c=-9$

Substitute the defined variables into the quadratic formula and solve for x:

$\implies x=\dfrac{-34 \pm \sqrt{34^2-4(18)(-9)} }{2(18)}$

$\implies x=\dfrac{-34 \pm \sqrt{1156+648} }{36}$

$\implies x=\dfrac{-34 \pm \sqrt{1804} }{36}$

$\implies x=\dfrac{-34 \pm \sqrt{4 \cdot 451} }{36}$

$\implies x=\dfrac{-34 \pm \sqrt{4}\sqrt{451} }{36}$

$\implies x=\dfrac{-34 \pm 2\sqrt{451} }{36}$

$\implies x=\dfrac{-17 \pm \sqrt{451} }{18}$

Therefore, the solutions to the given equation are:

$x=\dfrac{-17+ \sqrt{451} }{18}, \quad x=\dfrac{-17- \sqrt{451} }{18}$

Learn more about the Quadratic Formula here:

brainly.com/question/28105589

brainly.com/question/23700639

3 0

2 years ago

Read 2 more answers

What are the coordinate points of A, B, C and D in quadrilateral ABCD? Refer to the image attached :)

Ostrovityanka [42]

Answer:

(-3,4),(5,4),(5,-4),(-3,-4)

Step-by-step explanation:

I mean its plotting

7 0

3 years ago