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3 years ago

the measure of ∠D is 5 times the measure of ∠E the two angles are supplemanty find the measure of each angle

Mathematics

2 answers:

Aliun [14]3 years ago

6 0

Answer:

30⁰ , 150⁰

Step-by-step explanation:

E = x

F = 5x

Given:

x + 5x = 180

6x = 180

x = 30⁰

Angles : 30⁰ , 150⁰

hammer [34]3 years ago

3 0

Because the angles are supplementary, they add to 180 degrees.

I solved this by dividing $\frac{180}{6}$ which gives me 30 degrees.

multiply 30 by 5 gives you 150.

and 30 + 150 = 180

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liraira [26]

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2 years ago

Write the quadratic equation whose roots are 6 and 3, and whose leading coefficient is 4

nekit [7.7K]

If α and β are the Roots of a Quadratic Equation ax² + bx + c then :

✿ Sum of the Roots : α + β $\mathsf{= \frac{-b}{a}}$

✿ Product of the Roots : αβ $\mathsf{= \frac{c}{a}}$

Let the Quadratic Equation we need to find be : ax² + bx + c = 0

Given : The Roots of a Quadratic Equation are 6 and 3

⇒ α = 6 and β = 3

Given : The Leading Coefficient of the Quadratic Equation is 4

Leading Coefficient is the Coefficient written beside the Variable with Highest Degree. In a Quadratic Equation, Highest Degree is 2

Leading Coefficient of our Quadratic Equation is (a)

⇒ a = 4

⇒ Sum of the Roots $\mathsf{: (6 + 3) = \frac{-b}{4}}$

⇒ -b = 9(4)

⇒ b = -36

⇒ Product of the Roots $\mathsf{: (6 \times 3) = \frac{c}{4}}$

⇒ c = 18 × 4

⇒ c = 72

⇒ The Quadratic Equation is 4x² - 36x + 72 = 0

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3 years ago

What is the linear function equation represented by the graph?

Tom [10]

Answer:

Y= -1/2x + 1

Step-by-step explanation:

The equation for a line is Y=Mx+B

M stands for the Slope.

-Slope is rise/run. So, for this graph the line "rises" 1 point and "runs" left 2 points until meeting the line again. This slope is negative because it "runs" to the left.

B stands for the Y-Intercept

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3 years ago

Which of the following proportions can be used to prove AE || DK in the proof below? Select all that apply.

Galina-37 [17]

Answer: DA:FA=KE:EF, DF:DA=KF:KE and FA:DA=EF:KE are correct.

Explanation: Since, $\triangle EFA$ and $\triangle KFD$ are similar triangles.