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disa [49]
2 years ago
5

Angle S and angle T form a linear pair if measurement of angle S equals 5X +9 and measurement of angle T equals 3X +11 find the

measures of both angles
Mathematics
1 answer:
vampirchik [111]2 years ago
6 0
Linear pair angles have too add to 180, so

5x+9+3x+11=180
8x+20=180
8x=160
x=20

so angle S is 5*20+9 = 109
angle T is 3*20+11 = 71
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3 years ago
Rhombus ABCD with vertices A(2, 6), B(6, 7),<br> C(5, 3), and D(1, 2): 180°
Korvikt [17]

Answer:

Step-by-step explanation:

Rule for the rotation of a point 180° about the origin is,

(x, y) → (-x, -y)

Therefore, images of the points after the rotation of 180° will be,

A(2, 6) → A'(-2, -6)

B(6, 7) → B'(-6, -7)

C(5, 3) → C'(-5, -3)

D(1, 2) → D'(-1, -2)

Now we can plot these points on the graph as attached.

6 0
3 years ago
W contains the best franchises of 2015 according to Entrepreneur. If W= {Hampton Hotels, Anytime Fitness, Subway, Jack in the Bo
weeeeeb [17]

Answer:

Proper Subsets = 1023

Step-by-step explanation:

GivenW= \{Hampton\ Hotels, Anytime\ Fitness, Subway, Jack\ in\ the\ Box, Supercuts, \\Jimmy\ Johns, Servpro, Denny's, Pizza\ Hut, 7-Eleven\}

Required

Determine the proper subsets

Proper Subset (P) is calculated using;

P = 2^n - 1

Where

n = number\ of\ elements

In this case;

n = 10

So:

P = 2^n - 1

P = 2^{10} - 1

P = 1024 - 1

P = 1023

Hence;

<em>Proper Subsets = 1023</em>

7 0
3 years ago
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katovenus [111]

Answer:

3.8

Step-by-step explanation:

if the apples are 0.30 cents each then you multiply .3 X 6 and you get 1.8 because 1 apple is .30 cents you want to know how much is 6.

Next you pay .40 cents each for 5 oranges so .4 X 5 which is 2. And once again one orange is .40 cents so you multiply that by 5 to see the price of 5 oranges

Now you add the 1.8 to 2 and get 3.8

Now for the equation you just need to plug in what you did so...

(0.3 X 6) + (0.40 X 5) =  3.8

Glad i could help :)

7 0
3 years ago
Help with this please
olga2289 [7]

Answer:

( x + 2 ) and ( x - 11 )

Step-by-step explanation:

x² - 9x - 22 = 0

x² + 2x - 11x - 22 = 0

x ( x + 2 ) - 11 ( x + 2 ) = 0

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Factors of x² - 9x - 22 are ( x + 2 ) and ( x - 11 ).

8 0
3 years ago
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