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3 years ago

15

Is <1 and <7 supplementary

1 answer:

andrew-mc [135]3 years ago

7 0

Yes

Angle 1 and angle 4 add up to 180 degrees because they are on the same straight line split into two parts, and a straight line is 180 degrees. Angle 4 and angle 7 are corresponding angles, which means they occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal. Supplementary angles mean that any two angles add up to 180 degrees. Since 4 and 7 are corresponding, 1 and 7 must be supplementary

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A motorboat travels 220 kilometers in 4 hours going upstream. It travels 260 kilometers going downstream in the same amount of t

aliya0001 [1]

Answer: The rate of boat is 60 kmh.

The rate of current is 5 kmh.

Step-by-step explanation:

Alright, lets get started.

Suppose the rate of boat in still water is : b kmh

Suppose the rate of current is : c kmh

When the boat is going upstream, the relative speed will be : $(b-c)$

When the boat is going downstream, the relative speed will be: $(b+c)$

Boat travels 220 kilometers in 4 hours going upstream.

$speed=\frac{distance}{time}$

$(b-c)=\frac{220}{4}$ .................. equation (1)

It travels 260 kilometers going downstream in the same amount of time.

$(b+c)=\frac{260}{4}$ ................... equation (2)

Adding equation 1 and 2

$b-c+b+c=\frac{220}{4}+\frac{260}{4}$

$2b=\frac{480}{4}$

$2b=120$

$b=60$

Plugging the value of b as 60 in equation 2

$60+c=\frac{260}{4}$

$60+c=65$

$c=5$

Hence the rate of boat is 60 kmh.

Hence the rate of current is 5 kmh.

Hope it will help :)

6 0

3 years ago

What is 863 x 7698? I don’t know the answer.

Flauer [41]

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8 0

3 years ago

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Which equation is y = â€""6x2 3x 2 rewritten in vertex form?.

Ber [7]

The vertex form needed is :

$-6(x-0.25)^2 +2.375$

Given the equation:

$-6x^2 + 3x + 2\\$

The vertex form of $f(x) = ax^2 + b(x) + c$ is given by:

$f(x) = a(x-h)^2 + k$

Here, (h,k) is the vertex of the parabola equation given.

Conversion will go like this:

$-6x^2 + 3x + 2\\= -6(x^2 - 0.5x) + 2\\= -6(x^2 -0.5x + 0.0625 - 0.0625) + 2\\= -6(x^2 -0.5x + 0.0625) + 2 +0.375\\= -6(x-0.25)^2 + 2.375\\\\$

This is the resultant vertex form.

Thus the vertex form needed is :

$-6(x-0.25)^2 +2.375$

Learn more here:

brainly.com/question/15165354

6 0

2 years ago

Karin wants to use the distributive property to mentally find the value of 19 x 42+ 19x 58. Which expression can she use?

olasank [31]

Answer:

19(42 + 58)

Step-by-step explanation:

Assuming x = multiply, you are trying to solve the distributive property. Divide common factors from both terms (in this case 19).

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3 years ago

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Please help I will give brainliest

Viefleur [7K]

Answer:

option 1 is equivalent to 3^2.3^5

4 0

2 years ago

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