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
garri49 [273]
3 years ago
10

If each quadrilateral below is a parallelogram,find the missing measures.

Mathematics
1 answer:
zhenek [66]3 years ago
7 0

Answer:

Part 1) MN=31\ units

Part 2) KN=45\ units

Part 3) m∠K=61°

Part 4) m∠L=119°

Part 5) m∠M=61°

Step-by-step explanation:

we know that

In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary

Part 1) Find the side MN

we know that

MN≅KL ----> by opposite sides

we have

KL=31\ units

therefore

MN=31\ units

Part 2) Find the side KN

we know that

KN≅LM ----> by opposite sides

we have

LM=45\ units

therefore

KN=45\ units

Part 3) Find the measure of angle K

we know that

m∠K+m∠N=180° ----> by consecutive interior angles

we have

m∠N=119°

substitute

m∠K+119°=180°

m∠K=180°-119°

m∠K=61°

Part 4) Find the measure of angle L

we know that

m∠L≅m∠N ----> by opposite angles

we have

m∠N=119°

therefore

m∠L=119°

Part 5) Find the measure of angle M

we know that

m∠M≅m∠K ----> by opposite angles

we have

m∠K=61°

therefore

m∠M=61°

You might be interested in
What is the surface area of the square pyramid
user100 [1]

Answer:

128 feet squared

Step-by-step explanation:

you multiply 4 by 4 to get 16 ,

then you multiply 7 by 4 and get 28,

also multiply 28 by 4 and get 112 ,

finally add 112 and 16 to get 128


6 0
3 years ago
Translate the following into an algebraic expression: the sum of a number and five, added to the difference between the same num
Kruka [31]

Answer:

It simplifies to 2x + 2.

Step-by-step explanation:

Let the number be x, then the expression is

x + 5 + (x - 3)

= x + 5 + x - 3

= x + x + 5 - 3

= 2x + 2.

4 0
3 years ago
Why shouldn’t you expect to take a year to pay off a credit card charge?
inessss [21]
Depending on interest it could be doubled if not more.
5 0
3 years ago
HELP MUTIPLE CHICE IM BEING TIMED GEOMETRY PICKING SOMEONE FOR Brainliest
ollegr [7]

Answer:

1. SSS

2. Q and S

3. 20

Step-by-step explanation:

1. SSS similarity: If the corresponding sides of two triangles are proportional, then the two triangles are similar.

Triangles NLM and WUV are similar by SSS similarity, because

\dfrac{NL}{WU}=\dfrac{36}{63}=\dfrac{4}{7}\\ \\\dfrac{LM}{UV}=\dfrac{40}{70}=\dfrac{4}{7}\\ \\\dfrac{NM}{WV}=\dfrac{24}{42}=\dfrac{4}{7}

2. Completed steps:

a) draw a circle with center at P and radius r

b) draw a circle with center at Q and radius r

c) using compass, measure the distance between two points of intersection of the first circle with angle rays

d) using point of intersection of the second circle with PQ as a center, draw the circle of radius equal to the distance from c) to get point S

Last step: connect points Q and S, line QS will be parallel to line r.

3. If lines MN and UT are parallel, then angles MUT and VMN are congruent; also angles UTN and MNV are congruent.

AA similarity: In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar .

By AA similarity, triangles VMN and VUT are similar, thus

\dfrac{VM}{VU}=\dfrac{VN}{VT}\\ \\\dfrac{VM}{VM+8}=\dfrac{49-14}{49}\\ \\49VM=35(VM+8)\\ \\49VM=35VM+280\\ \\49VM-35VM=280\\ \\14VM=280\\ \\VM=20\ units

5 0
3 years ago
When three points lie on the same line
anyanavicka [17]
When three points are on the same line it’s collinear,. we’re in the same class LOL
3 0
3 years ago
Other questions:
  • What are three rational numbers between 0.2 and 0.3 (one must be a fraction)?
    6·2 answers
  • Did Meg make it home on time if she spent 22 minutes at the library. 38 minutes at her grandmas house. She walked for 17 minutes
    6·1 answer
  • What is the product of the polynomials below? (4x^2-2x-4)(2x+4)
    7·1 answer
  • What is the third derivative of tan x?
    8·1 answer
  • Bob's Bike Shack charges a set fee of $6, plus $4 per hour, to rent a bike. If your total bill is $30, how many hours did you re
    15·2 answers
  • What is the sum of (2a - 3b) and (5b - a)
    15·1 answer
  • What are the coordinates of the midpoint between the points (-4, -9) and (-8, -5)? Select the best answer from the choices provi
    12·1 answer
  • What is the cube root of 216xy18?<br> O 4xy<br> O 6xy<br> O 72xBy15<br> O 213x®y 15
    13·1 answer
  • Please answer !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
    8·1 answer
  • Three friends are playing a card game. to start each player draws four cards. the player with the largest sum goes first. which
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!