All categories

3 years ago

Lines l and m are parallel

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

4 0

Answer:

m∠ABC = 15°

Step-by-step explanation:

Given

m∠ABC = x°
m∠BCD = 25°
m∠CDE = 55°
m∠DEF = 3x°

Add two more parallel lines passing through points C and D.

Consider alternate interior angles formed by the four parallel lines.

The angles between the two middle lines are equal to:

m∠BCD - m∠ABC = m∠CDE - m∠DEF

Substitute values and solve for x:

25 - x = 55 - 3x
3x - x = 55 - 25
2x = 30
x = 15

m∠ABC = 15°

You might be interested in

Find the values of x and y.

olchik [2.2K]

Answer:

value of x = 26

value of y = 26 \|2

( 26 root 2 )

Step-by-step explanation:

here's the solution : -

=》

$\sin(45) = \frac{perpendicular}{hypotenuse}$

=》

$\frac{1}{ \sqrt{2} } = \frac{26}{y}$

=》

$y = 26 \sqrt{2}$

and

$\tan(45) = \frac{perpendicular}{base}$

=》

$1 = \frac{26}{x}$

=》

$x = 26$

8 0

3 years ago

Which complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i)

DENIUS [597]

Answer: -4 - 32i

i just took this test

6 0

3 years ago

A ray that contains a point that is equidistant from both sides of the angle. *

seraphim [82]

Consider a angle â BAC and the point D on its defector Assume that DB is perpendicular to AB and DC is perpendicular to AC. Lets prove DB and DC are congruent (that is point D is equidistant from sides of an angle â BAC Proof Consider triangles Î”ADB and Î”ADC Both are right angle, â ABD= â ACD=90 degree They have congruent acute angle â BAD and â CAD( since AD is angle bisector) They share hypotenuse AD therefore these right angle are congruent by two angle and sides and, therefore, their sides DB and DC are congruent too, as luing across congruent angles

3 0

4 years ago

What is the total change in the number of cups in oatmeal container? Explain.

yanalaym [24]

Answer:

There is not enough information to answer this question

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Make x the subject of the formula x − 3 = q

lakkis [162]

Answer:

x = q + 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

x - 3 = q

Step 2: Solve for x

Add 3 to both sides: x = q + 3

8 0

3 years ago