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Alexeev081 [22]
3 years ago
5

I need help finding the measures of the other angles.

Mathematics
2 answers:
Alex Ar [27]3 years ago
5 0

<7 and <10 are each 84 degrees

solniwko [45]3 years ago
5 0

We know that Sum of Angles in a Triangle = 180

⇒ Angle(4) + Angle(5) + Angle(7) = 180

⇒ 52 + 44 + Angle(7) = 180

⇒ 96 + Angle(7) = 180

⇒ Angle(7) = 180 - 96 = 84

We know that Vertically Opposite Angles are Equal

Angle(7) and Angle(10) are Equal

⇒ Angle(10) = 84

Also, Angle(8) and Angle(9) are Equal

Let us take Angle(8) = Angle(9) = P

As Angle(8) - Angle(9) - Angle(7) - Angle(10) form a Complete Angle, their Sum should be Equal to 360.

⇒ Angle(8) + Angle(9) + Angle(7) + Angle(10) = 360

⇒ P + P + 84 + 84 = 360

⇒ 2P + 168 = 360

⇒ 2P = 192

⇒ P = 96

We took Angle(8) = Angle(9) = P

⇒ Angle(8) = Angle(9) = 96

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uranmaximum [27]
This is the concept of geometry, given that the angle 52 and (2x) have been subtended by a circle, then:
2x=2(52)
2x=104
solving for x we get:
x=104/2
x=52
the answer is x=52°
6 0
3 years ago
Mei and Alberto are selling cookie dough. Mei sold 11 packages of chocolate chip and 12 packages of gingerbread for a total of $
ycow [4]

Answer:

The price of a package of chocolate chip is $13.25

The price of a package of gingerbread is $17.18

Step-by-step explanation:

11x + 12y = 352

10x +8y = 270

Let "x" be the price of a package of chocolate chip.

Let "y" be the price of a package of gingerbread.

11x + 12y = 352(Multiply the 1st row by 10)

10x +8y = 270 (Multiply the 2nd row by 11)

-------------------

110x + 120y = 3520

110x +88y = 2970

--------------------------

        3y = 550

y =550/3

y = 17.1875

The price of a package of gingerbread "y" is $17.18

Let's pick the first equation "110x + 120y = 3520"

110x + 120y = 3520

110x+ 120(17.1875)= 3520

110x+2062.5=3520

110x=3520−2062.5

110x=1457.5

x= 1457.5/110

x=13.25

The price of a package of chocolate chip is $13.25

6 0
2 years ago
Suppose the population of a certain city is 5769 . It is expected to decrease to 4963 in 50 years. Find the percent decrease.
creativ13 [48]

Answer:

≈ 13.98%

Step-by-step explanation:

As the total population is 5769 in the initial period, you must find the percentage that repesents 4963 that is the expected population.

4963/5769=0.8602

Then you multiply it by 100 to transform it into percentage

0.8602*100=86.02%

Then it's just necesary to subtract that from 100% and that numbers is the percentage of decrease

100% - 86.02% = 13.98%

Also you can say that is approximately  14%

4 0
3 years ago
In a survey of 2,900 people who owned a certain type of​ car, 870 said they would buy that type of car, again. What percent of t
Murrr4er [49]

Answer:

30%

Step-by-step explanation:

7 0
3 years ago
A pack of 8 batteries cost 4.72!What is cost per battery?
Mrrafil [7]
4.72 x 1 = 4.72
8 x X =8x
We need to let the X alone so
4.72 divided 8 = 0.59
1 battery = 0.59
8 0
2 years ago
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