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
DENIUS [597]
2 years ago
5

The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of

Mathematics
1 answer:
weqwewe [10]2 years ago
8 0

Complete Question:

The deck that Amos is building is in the shape of a parallelogram, DGRY.  The measure of D is five-halves the measure of Y. Find the measure of  each angle of the deck.

Answer:

\angle G = \angle Y = 51.43 ^{\circ}

\angle D = \angle R = 128.57 ^{\circ}

Step-by-step explanation:

Given

Shape: Parallelogram DGRY

Dimension: \angle D = \frac{5}{2}\angle Y

Required

Find the measure of each angle

D and R are opposite sides & G and Y are also opposite sides.

So, we have:

\angle D = \angle R = \frac{5}{2}\angle Y

and

\angle G = \angle Y

The sum of angles is given as:

\angle D + \angle G + \angle R + \angle Y=360^{\circ}

Substitute values for \angle D, \angle G \ \&  \angle R

\frac{5}{2}\angle Y + \frac{5}{2}\angle Y + \angle Y + \angle Y = 360^{\circ}

Take LCM

\frac{5\angle Y + 5\angle Y + 2\angle Y+ 2\angle Y}{2}= 360^{\circ}

\frac{14\angle Y}{2}= 360^{\circ}

Multiply both sides by \frac{2}{14}

\frac{2}{14} * \frac{14\angle Y}{2}= 360^{\circ} * \frac{2}{14}

\angle Y= 360^{\circ} * \frac{2}{14}

\angle Y= \frac{ 360^{\circ} *2}{14}

\angle Y= \frac{720^{\circ}}{14}

\angle Y= 51.43 ^{\circ}

So:

\angle G = \angle Y = 51.43 ^{\circ}

\angle D = \frac{5}{2}\angle Y

\angle D = \frac{5}{2} * 51.43^{\circ}

\angle D = \frac{5* 51.43^{\circ}}{2}

\angle D = \frac{257.15^{\circ}}{2}

\angle D = 128.57 ^{\circ}

Hence:

\angle D = \angle R = 128.57 ^{\circ}

You might be interested in
Please answer this question now in two minutes
anygoal [31]

Answer:

A. 17.5

Step-by-step explanation:

4x+8 27

L-------------M-------------------------N

<------------------ 6x -------------------->

LM = 4x+8

MN = 27

LN = 6x

LM + MN = LN

4x+8 + 27 = 6x

35 = 2x

17.5 = x

6 0
3 years ago
Read 2 more answers
Cheryl drove 4 hours at a constant rate to travel 160 miles. At what rate did she drive? A. 20 mph B. 35 mph C. 40 mph D. 72 mph
erik [133]

Answer:

40 mph

Step-by-step explanation:

you take your miles 160 and divide them by 4 which is going to be 40

5 0
3 years ago
Read 2 more answers
A painter uses 2.75 gallons of paint per hour. How many gallons of paint will the painter use in 3.5 hours?
anygoal [31]

Answer:

9.625 gallons will be used by the painters in 3.5 hours

Step-by-step explanation:

2.75 gallons = 1 hr

X gallons = 3.5 hrs

X = (3.5 × 2.75)/1

X = 9.625 gallons

9.625 gallons will be used by the painters in 3.5 hours

8 0
2 years ago
Read 2 more answers
Montel collected 26Leaves for his science project he wants to put six leaves on a page how it shows how many pages Montello need
andrey2020 [161]

Answer:

4.3 pages

beacause 26 divided by 6 is 4.3

7 0
2 years ago
Find a common denominator for the pair of fractions.​ Then, write equivalent fractions with the common denominator.
DerKrebs [107]
4/12? It may be wrong, not sure
3 0
3 years ago
Other questions:
  • What is the value of x?
    14·2 answers
  • Which of the following sets of numbers could be the lengths of the sides of a triangle?
    7·1 answer
  • There are 5 red pens, 3 blue pens and 2 green pens in a box. Ziyad takes at random a pen from the box and gives the pen to his f
    5·1 answer
  • What is the value of x?
    6·2 answers
  • Help PLSSSSSSSSSSSSSSSSS extra points
    14·1 answer
  • Please help me! :3
    6·1 answer
  • Find the measure of the arc or angle indicated
    6·1 answer
  • Two tangents <br> Help please
    13·1 answer
  • Pls do both for ( brainlist, thanks, and a 5 star review)
    13·2 answers
  • Find the missing angle​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!