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3 years ago

PLEASE HELP GIVING BRAINLIEST

Mathematics

1 answer:

Alborosie3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

x and x - 20 are adjacent angles and are supplementary , thus

x + x - 20 = 180

2x - 20 = 180 ( add 20 to both sides )

2x = 200 ( divide both sides by 2 )

x = 100

x - 20 = 100 - 20 = 80

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

11x - 2 and 75 are corresponding angles and are congruent, thus

11x - 2 = 75 ( add 2 to both sides )

11x = 77 ( divide both sides by 11 )

x = 7

11x - 2 = 11(7) - 2 = 77 - 2 = 75

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PLEASE HELP!!! Two towns are 1100 miles apart. A group of hikers starts from each town and walks down the trail toward each othe

Vinvika [58]

Answer:

2.54 miles/hr

2.04 miles/hr

Step-by-step explanation:

Given: Distance between the two towns = 1100 miles

Difference between speeds = $\frac{1}{2}$ miles/hr

Total time when they meet = 240 hours

To find:

Let distance traveled by first group = $x$ miles.

Now, the distance traveled by second group = (1100- $x$ ) miles/hr

The relation between Speed, Time and Distance is given as:

$\text{Speed =} \dfrac{\text{Distance}}{\text{Time}}$

Let speed of first group = $S_1$

$S_1 = \dfrac{x}{240}$

Let speed of second group = $S_2$

$S_2 = \dfrac{1100-x}{240}$

As per question, $S_1$ = $S_2$ + $\frac{1}{2}$

$\dfrac{x}{240} = \dfrac{1100-x}{240} + \dfrac{1}{2}\\\Rightarrow \dfrac{x}{240} - \dfrac{1100-x}{240} = \dfrac{1}{2}\\\Rightarrow \dfrac{x-1100+x}{240} = \dfrac{1}{2}\\\Rightarrow 2x - 1100 = 120\\\Rightarrow 2x = 1220\\\Rightarrow x = 610 ft$

Now,

$S_1 = \dfrac{x}{240}$

Putting value of $x$ :

$S_1 = \dfrac{610}{240}\\\Rightarrow S_1 = 2.54\ miles/hr$

Similarly, putting value of $x$ in $S_2$ :

$S_2 = \dfrac{1100-610}{240}\\\Rightarrow S_2=\dfrac{490}{240}\\\Rightarrow S_2 = 2.04\ miles/hr$

8 0

3 years ago

the ratio of boy to girls in a school 1s 5:7. if there are 780 students in the school, how many boys are in the school?

kenny6666 [7]

Answer:

325 boys

Step-by-step explanation:

The ratio 5:7 represents 5+7=12 students. If we were to proportionalize this ratio to 780 students, we would multiply the ratio by 65/65 since 780/12=65.

Therefore, you have (5*65)/(7*65)=325/455 as your ratio. This means that there are 325 boys in the school

5 0

3 years ago

Simplify (5+1)^2-(12+3^2)/3

lakkis [162]

Answer:

Step-by-step explanation:

Simplify the expression $(5+1)^2-\dfrac{12+3^2}{3}$ step by step:

$(5+1)^2=6^2=6\cdot 6=36$

$\dfrac{12+3^2}{3}=\dfrac{12+3\cdot 3}{3}=\dfrac{12+9}{3}=\dfrac{21}{3}=7$

Now,

$(5+1)^2-\dfrac{12+3^2}{3}=36-7=29$

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4 years ago

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X = a) 43 b) 58 c) 71

Eduardwww [97]

$28 \textdegree = \frac{1}{2} ( 114 \textdegree - \angle x)$

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$\angle x = 29 \textdegree \times 2$

$\angle x = 58 \textdegree$

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4 years ago

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sveticcg [70]

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