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Ksju [112]
3 years ago
14

Find the value of x

Mathematics
2 answers:
melisa1 [442]3 years ago
7 0

Answer with Step-by-step explanation:

since, DAC is a straight line

Hence, ∠BAD+∠BAC=180°

98°+∠BAC=180°

⇒ ∠BAC=180°-98°

             = 82°

Now, we know that sum of angles of a triangle=180°

Hence, ∠BAC+∠ABC+∠BCA=180°

           82°+32°+x=180°

                     x=180°-82°-32°

                     x= 66°

Hence, correct option is:

C. 66°

Tamiku [17]3 years ago
5 0
<BAC = 180 - 98 = 82
x = 180 - (82+32)
x = 180 - 114
x = 66

answer
C, 66
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$1725 with 15% markup what’s the new price
fredd [130]

Answer:

$1983.75

Step-by-step explanation:

1725 x 0.15 = 258.75

now add to the original price

1725 + 258.75= 1983.75

5 0
3 years ago
A Country’s population in 1990 was 134 million. In 2000 it was 139 million. Estimate the population in 2014 using the exponentia
Ivahew [28]

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167 million

Step-by-step explanation:

The ratio is 1 million people every 2 years

7 0
3 years ago
PLZZ ANSWER THIS AS SOON AS POSSIBLE!!!!
alexandr402 [8]

Answer:

y = -9.3

if they are complementary it is 45 degrees

if they are supplementary it is 90 degrees

Step-by-step explanation:

-12.7 = y -3.4

-12.7 + 3.4 = y -3.4 + 3.4

-9.3 = y

complementary angles equal to 90 degrees

supplementary angles equal to 180 degrees

vertical angles have same degrees

so 90/2= 45

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3 0
3 years ago
Read 2 more answers
40 points! Find the distance UV between the points U(2,−2) and V(−5,−3). Round your answer to the nearest tenth, if necessary.
puteri [66]

Answer:

7.1

Step-by-step explanation:

Using the distance formula

d = sqrt (  (x2-x1)^2 + ( y2-y1)^2)

    sqrt (  (-5-2)^2 + ( -3- -2)^2)

    sqrt(   ( -7)^2  + ( -3 +2)^2)

   sqrt(   ( 49  + 1)

   sqrt( 50)

  7.071067812

To the nearest tenth

7.1

8 0
3 years ago
Read 2 more answers
How many solutions are there for the system x^2+4y^2=100 and 4y-x^2=-20
never [62]
There are 5 solutions for this system.

x^2 + 4y^2 = 100  ____1
4y - x^2 = -20  ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80   (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y :  y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2    x = /100 - 4y^2  (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
6 0
3 years ago
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