1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
laila [671]
3 years ago
8

Given m∠1=65°, find the measure of each missing angle. Give your reasoning.

Mathematics
1 answer:
MatroZZZ [7]3 years ago
6 0

Answer:

m_2= 115

m_3 = 65

m_4 = 115

m_5 = 65

m_6 = 115

m_7 = 65

m_8 = 115

Step-by-step explanation:

See attachment for complete question.

Given

m_1 = 65

Required

Determine the missing angles

m1 and m2 are supplementary angles.

Meaning that:

m_1 +m_2 = 180

Substitute 65 for m1

65 +m_2 = 180

m_2= 180 - 65

m_2= 115

m1 and m3 are vertically opposites.

m2 and m4 are also vertically opposites.

So:

m_3 = m_1

and

m_4 = m_2

i.e.

m_3 = 65

m_4 = 115

When parallel lines are traversed by a line, the corresponding angles are equal.

This means that:

m_5 = m_1

m_6 = m_2

m_7 = m_3

m_8 = m_4

Because they are all corresponding angles.

So:

m_5 = 65

m_6 = 115

m_7 = 65

m_8 = 115

You might be interested in
Select the coordinates of two points on the line y = 8. (2 points)
Pie

Answer: D  (0,8)   and (8,8)

Step-by-step explanation:

The equation y= 8  can also be written as y= 0x + 8 which means the slope is always zero.

so if you put in 0 for x you will get  8  as if (0,8)

and if you put in 8 for x you still get 8  because 8 times 0 is 0 plus 8 is  8 as if (8,8)

4 0
3 years ago
Given: Parallelogram LMNO; MO ⊥ LN Prove: LMNO is a rhombus. Parallelogram L M N O is shown. Diagonals are drawn from point L to
BaLLatris [955]

Answer: LMNO is a rhombus

Step-by-step explanation: Since LMNO= Mo x LN, Point M=LM x ON, given these circumstances, we know that LMNO is a rhombus from the sides and angles equation.

3 0
3 years ago
Read 2 more answers
NEED HELP Find values for a, b, c, and d so that the following matrix product equals the 2X2 identity matrix. Explain or show ho
ehidna [41]

We want to find the values of a, b, c, and d such that the given matrix product is equal to a 2x2 identity matrix. We will solve a system of equations to find:

  • b = 1
  • a = -1
  • c = -2
  • d = -1

<h3>Presenting the equation:</h3>

Basically, we want to solve:

\left[\begin{array}{cc}-1&2\\a&1\end{array}\right]*\left[\begin{array}{cc}b&c\\1&d\end{array}\right] = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]

The matrix product will be:

\left[\begin{array}{cc}-b + 2&-c + 2d\\a*b + 1&a*c + d\end{array}\right]

Then we must have:

-b + 2 = 1

This means that:

b = 2 - 1 = 1

  • b = 1

We also need to have:

a*b + 1 = 0

we know the value of b, so we just have:

a*1 + b = 0

  • a = -1

Now the two remaining equations are:

-c + 2d = 0

a*c + d = 1

Replacing the value of a we get:

-c + 2d = 0

-c + d = 1

Isolating c in the first equation we get:

c = 2d

Replacing that in the other equation we get:

-(2d) + d = 1

-d = 1

  • d = -1

Then:

c  = 2d = 2*(-1) = -2

  • c = -2

So the values are:

  • b = 1
  • a = -1
  • c = -2
  • d = -1

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

4 0
3 years ago
lance bought a square postage stamp to a mail a card to his cousin. if the stamp has 4 square centimeters.what was the dimension
Lubov Fominskaja [6]

The dimension of one side of the stamp was 2 centimeters

Step-by-step explanation:

The formula of the area of any square is A = l², where l is the

length of the side of the square

lance bought a square postage stamp to a mail a card to his cousin

∵ The stamp has 4 square centimeters

∴ The area of the stamp = 4 cm²

∵ The stamp shaped a square

∵ The formula of the area of the square is A = l²

- Equate the formula of the area of the square by the area of the stamp

∴ l² = 4

- Take √ for both sides to find l

∴ l=\sqrt{4}

∴ l = 2 cm

The dimension of one side of the stamp was 2 centimeters

Learn more:

You can learn more about the area of the shapes in brainly.com/question/10677255

#LearnwithBrainly

5 0
3 years ago
Which is NOT an undefined term in geometry
Anna71 [15]
There are three words in geometry<span> that are </span>not<span> formally defined. These three </span>undefined terms<span> are point, line and plane.</span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • Use the chain rule to differentiate the following function.<br><br>f(x)=(5x+sin^3(x)+sinx^3)^3
    10·1 answer
  • Solve the following system of equations by using the substitution method.
    6·2 answers
  • How do you write 1 3/4 as a decimal show your work!
    6·1 answer
  • I have 200 coins to put into 4 bags I put the coins into each bag so that each bag has 2 mote coins than the one before How many
    12·1 answer
  • 63/4 as a mixed number
    15·1 answer
  • How many lines of symmetry does an isosceles triangle have
    12·2 answers
  • Solve the equation 4(x+2)-17=35
    5·2 answers
  • Please help asap 20 points
    6·2 answers
  • Historically, the average diameter of the holes drilled has been 0.25 cm and the average range has been 0.10 cm. Samples of size
    11·1 answer
  • Write an equation that expresses the following relationship.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!