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Verdich [7]
3 years ago
15

Could you please help me

Mathematics
1 answer:
Dmitrij [34]3 years ago
8 0
∠GBE = y (alternate angles)

∠DBG + ∠GBE = 180 (Adjacent angles on a straight line adds up to 180)
⇒ x + y = 180

∠DBG = ∠ABE (Vertially opposite angles)
⇒ x = 5y - 18

--------------------------------------------------
Solve for x and y :
--------------------------------------------------
x + y = 180 -------- (1)
x = 5y - 18 --------- (2)

Sub (2) into (1) :
5y - 18 + y = 180 
6x = 198
x = 33 --------- Sub into (1)
x + y = 180
33 + y = 180
y = 147

-----------------------------------------------------
Answer: x = 33°, y = 147°
-----------------------------------------------------

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in a class of 50 students 15 are girls.five girls and 2/7 of the boys were chosen to play a match .the total number of students
Aleks [24]

Answer:

15 students

Step-by-step explanation:

No. of boys students = No. of all students - No. of girls

no. of boys =50-15 = 35 boys

the boys that will play the match are 2/7 of boys = (2/7)x35 = 10 boys

and the girls that will play the match are 5 girls

so, no of students chosen to play = 5+10=15 students

5 0
3 years ago
Jessica, Chau, and Kareem sent a total of 84 text messages during the weekend. Kareem sent 4 times as many messages as Chau. Jes
swat32

Answer:

Number of messages sent by Chau = 15

Number of messages sent by Kareem = 4 * 15 = 60

Number of messages sent by Jessica = 15 - 6 = 9

Step-by-step explanation:

Let number of messages sent by Chau = c

Number of messages sent by Kareem = 4 times as Chau

                                                                = 4 * c = 4c

Number of messages sent by Jessica = 6 fewer messages than Chau

                                                               = c - 6

Total messages = 84

<u>c + 4c + c</u> - 6 = 84                {Combine like terms}

<u>6c</u> - 6 = 84         {Add 6 to both sides}

6c  = 84 + 6

6c = 90   {Divide both sides by 6}

c = 90/6

c = 15

Number of messages sent by Chau = 15

Number of messages sent by Kareem = 4 * 15 = 60

Number of messages sent by Jessica = 15 - 6 = 9

3 0
3 years ago
Read 2 more answers
At a particular restaurant, each chicken wing has 75 calories and each slider has 250 calories. A combination meal with chicken
Lostsunrise [7]

Answer:

56

Step-by-step explanation:

7 0
3 years ago
A child care center has three rooms, and the same number of children are in each room. If c children attend the center, write an
raketka [301]

Answer:

Number of children in each room = c / 3

Step-by-step explanation:

Given:

Number of rooms in care center = 3

Number of children attend the center = c

Find:

Number of children in each room

Computation:

Number of children in each room = Number of children attend the center / Number of rooms in care center

Number of children in each room = c / 3

4 0
3 years ago
A sporting goods store pays 180 for a rubber raft. the percent of markup is 55 percent. find the rafts selling price
Alex_Xolod [135]

Multiply the cost by 1 + markup :

180 x 1 +0.55 =

180 x 1.55 =279

The answer is D. $279

8 0
4 years ago
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