All categories

2 years ago

In parallelogram DEFG if m_DEF=110° find m_FGD. E 110° D G

Mathematics

1 answer:

Sergio039 [100]2 years ago

3 0

Answer:

E=x

or 110= x ( opposite angles of parallelogram are congurent)

E+D = 180 ( angles on st line)

110+D =180

D=70

D=F ( opposite angles of parallelogram are congurent)

so F=70

You might be interested in

The sum of two numbers is odd. Can the quotient of the two numbers be an odd number?

Natalka [10]

Answer: No.

Step-by-step explanation:

I guess that here we have the statement:

If the sum of two numbers is odd----> can their quotient be an odd number?

first, for n an integer number, we have that:

an odd number can be written as 2n + 1

an even number can be written as 2n.

The sum of two numbers is only odd if one of them is odd and the other even.

Then we have a number that is 2n and other that is 2k + 1, for n and k integer numbers.

Now, let's see if the quotient can also be an odd number.

One way to think this is:

There is an odd number such that when we multiply it by another odd number, the result is an even number?

no, and i can prove it as:

let 2k + 1 be an odd number, and 2j + 1 other.

the product is:

(2k + 1)*(2j + 1) = 2*(2*k*j + k + j) + 1

and as k and j are integers, also does 2*k*j + k + j, so:

2*(2*k*j + k + j) + 1 is an odd number.

This says that the product of two odd numbers is always odd, then we never can have that the quotient between an even number and an odd number is odd.

4 0

3 years ago

Given: Triangle ABC, AC=BC, AB=3, line segment CD is perpindicular to line segment AB, CD= sqrt 3 find AC

TEA [102]

Based on the data given, the length of line segment AC is 2.29

<h3>What is the length of side AC?</h3>

Based on the given data:

AC=BC
AB=3
line segment CD is perpendicular to line segment AB
CD= sqrt 3

The triangle ABC is an isosceles triangle.

The line segment AC is the hypotenuse of the the triangle ACD.

The length of AD = 3/2

$AC = \sqrt{(\sqrt{3)^{2}} + (\frac{3}{2})^{2}}= 2.29$

In conclusion, the length of AC is 2.29

Learn more about line segment at: brainly.com/question/2437195

#SPJ1

7 0

1 year ago

Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).

sdas [7]

There asking for the equation, and the possible answers are

y = 2x + 6 y = −one halfx + 3 y = −one halfx + 6 y = 2x + 3

4 0

2 years ago

Hi!! Please help me with this question. I got an answer of 63.25 but it was incorrect and need to redo it. Please also explain h

matrenka [14]

Answer:

x ≈ 63.27

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan49° = $\frac{opposite}{adjacent}$ = $\frac{EF}{DE}$ = $\frac{x}{55}$ ( multiply both sides by 55 )

55 × tan49° = x , then

x ≈ 63.27 ( to the nearest hundredth )

4 0

2 years ago

What is the frequency of the function y = 3sin2x

antiseptic1488 [7]

Answer:

d. None of the above.

Step-by-step explanation:

The period is the change in x required to make a change of 2π in the argument to the sine function:

2x = 2π

x = π

The frequency is the reciprocal of the period, so is 1/π. There are no matching answer choices.

7 0

2 years ago