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Naddik [55]
3 years ago
9

What's the value of x in the figure? A) 78° B) 57° C) 76° D) 33°

Mathematics
1 answer:
Akimi4 [234]3 years ago
5 0

Answer:

x = 78

Step-by-step explanation:

57° + x° = 135° (alternate angles, // lines)

x = 135 - 57

= 78

I hope this helps :)

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A rectangular shape of dimension 95m by 75m is drawn to a scale of 1cm to 10cm. find the area of the drawing
Dimas [21]

Answer:

p: (-4)2 > 0

r: Two angles, whose measure have a sum of 90, are supplements.​

Step-by-step explanation:

4 0
3 years ago
A group of students goes out to lunch. If two have burritos and five have tacos, the bill will be $19.50. If five students have
nikklg [1K]

Answer:

The price of the burrito is $3.5 and the price of the taco is $2.5.

Step-by-step explanation:

2x+5y=19.5

5x+2y=22.5

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

5(2x+5y)=5(19.5)

-2(5x+2y)=-2(22.5)

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

10x+25y=97.5

-10x-4y=-45

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

21y=52.5

y=52.5/21=2.5

2x+5(2.5)=19.5

2x+12.5=19.5

2x=19.5-12.5

2x=7

x=7/2=3.5

x=3.5, y=2.5

The price of the burrito is $3.5 and the price of the taco is $2.5.

8 0
3 years ago
If you cut a 35 inch long stick in two pieces in the ratio 2:3, how long would each part be?
Aliun [14]

Answer:

14 : 21

Step-by-step explanation:

---> 2:3 ----> 2+3=5

---> Stick's length = 35 inches

<u />

<u>For the first portion</u>

2/5 x 35

2/1 x 7

= 14 inches

<u>For the second portion</u>

3/5 x 35

3/1 x 7

= 21 inches

To confirm: 14 + 21 = 35 inches

14 : 21

Divide both by 7

2 : 3

7 0
3 years ago
8.42 Three bags of jelly beans contain 26,28 , and 30 beans. In each bag, the percent of the beans that are yellow is 50%, 25%,
olasank [31]

Answer:

Step-by-step explanation:

Figure out the number of yellow beans in each bag:

Bag A: 0.5*26 = 13 beans

Bag B: 0.25*28 = 7 beans

Bag C: 0.2*30 = 6 beans

The total number of beans in the bowl: 26+28+30 = 84

Total number of yellow beans: 13+7+6 = 26

Percentage of yellow beans: 26/84 *100 = 30.9523

Rounded answer: 31%

6 0
2 years ago
Read 2 more answers
Given r(x) = 11/ (x - 42)
julsineya [31]

For a given function f(x) we define the domain restrictions as values of x that we can not use in our function. Also, for a function f(x) we define the inverse g(x) as a function such that:

g(f(x)) = x = f(g(x))

<u>The restriction is:</u>

x ≠ 4

<u>The inverse is:</u>

y = 4 + \sqrt{\frac{11}{x} }

Here our function is:

f(x) = \frac{11}{(x - 4)^2}

We know that we can not divide by zero, so the only restriction in this function will be the one that makes the denominator equal to zero.

(x - 4)^2 = 0

x - 4 = 0

x = 4

So the only value of x that we need to remove from the domain is x = 4.

To find the inverse we try with the general form:

g(x) = a + \sqrt{\frac{b}{x} }

Evaluating this in our function we get:

g(f(x)) = a + \sqrt{\frac{b}{f(x)} }  = a + \sqrt{\frac{b*(x - 4)^2}{11 }}\\\\g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4)

Remember that the thing above must be equal to x, so we get:

g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4) = x\\\\{\frac{b}{11 }} = 1\\{\frac{b}{11 }}*4 - a = 0

From the two above equations we find:

b = 11

a = 4

Thus the inverse equation is:

y = 4 + \sqrt{\frac{11}{x} }

If you want to learn more, you can read:

brainly.com/question/10300045

3 0
3 years ago
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