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3 years ago

Which relationship describes angles 1 and 2?

Mathematics

2 answers:

Andru [333]3 years ago

8 0

Hello!

Angles 1 and 2 are vertical angles

Hope this helps!

viktelen [127]3 years ago

3 0

Hey there! The answer is opposite angles (or vertical angles).

Angles 1 and 2 are opposite angles (or vertical angles, which is a synonym), which means they are equal in size.
In this particular situation angles 1 and 2 are also perpendicular angles, which means they measure 90 degrees. Because the angle 'above angle 2' in the picture is 90 degrees, its opposite angle is also 90 degrees. Since the sum of the four angles is 360 degrees and since angles 1 and 2 are opposite angles, they must be 90 degrees and therefore perpendicular.

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the peach festival charges $5 for admission then$1.25 per pound of peaches picked. If Savanna went to the festival and picked 2.

Mumz [18]

Answer:

I'm glad you asked!

Step-by-step explanation:

So let's do it step by step.

Already she has to pay $ $5$ for going in.

She has $2$ whole pounds.

$1.25$ x $2=2.5$ or $2 \frac{1}{2}$

Add $ $5$ and $ $2.5$ .

$5+2.5 = 7.5$

Now let's do $1.25 divided by 10.

$$$ $ $1.25$ divided by $ $10$ $=0.125$

Now let's do $0.125$ times $4$

$0.125$ x $4 = 0.5$

Now let's add 7.5 to 0.5

$7.5+0.5=8$

4 0

2 years ago

0.9 of Karen's Science score is equal to 0.75 of her Math score and 0.8 of her Chemistry score. Given that Karen scored 96 marks

DochEvi [55]

You have to formulate equations for this problem.

Let S = Science score

M = Math score

C = Chemistry score

To illustrate the given:

0.9S = 0.75M

0.9S = 0.8C

You are given that Karen’s Math score is 96 marks. You have to substitute the Math score to the first equation.

0.9S = 0.75(96)

0.9S = 72

S = 80

Therefore, Karen’s Science score is 80. Now, you have to substitute the Science score to the second equation.

0.9(80) = 0.8C

0.8C = 72

C = 90

So, Karen’s Chemistry score is 90.

Therefore, the total score of the 3 subjects is 266 (96 + 80 + 90).

5 0

3 years ago

there were 132 children at the museum on Saturday. on Sunday, there were 61 children. how many children were there on Saturday a

NISA [10]

132 children + 61 children = 193 children

Unless some of the children who went on Sunday also went on saturday.

8 0

3 years ago

Read 2 more answers

Sydney bought a 4-pound bag of brown rice at the grocery store. The nutritional information showed that the bag

FromTheMoon [43]

Answer:

1.72973 oz/serving. Perhaps round to 1.73 oz, although there is only 1 sig fig in "4-pound bag." But the problem states "exactly."

Step-by-step explanation:

We want oz/serving, so let's convert the pounds of rice to total ounces of rice:

We are told that 16 oz = 1 pound. Make that a conversion factor: (16 oz/1 pound)

(4 pounds)*((16 oz/1 pound) = 64 ounces

We are told that 4 pounds (64 ounces) makes 37 servings. So:

(64 ounces)/(37 servings) = 1.72973 oz/serving

5 0

2 years ago

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, trave

USPshnik [31]

Answer:

Julio travel 3 hours by biking and 4 hours by walking.

Step-by-step explanation:

Given:

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph.

If the total trip to the park took 7 hours and it was 52 miles away.

Now, to find the time Julio travel at each speed.

The speed travelled by the bike = 8 mph.

The speed travelled by the walking = 7 mph.

Let the time Julio travel with bike be $x.$

And the time Julio travel by walking be $y.$

As, given Julio started biking to the park traveling, after some time the bike got a flat so Julio walked the rest of the way,

Thus, the total time taken:

$x+y=7$

$y=7-x\ \ \ .......(1)$

So, the distance travelled by bike:

Speed × time

$8\times x=8x$

And, the distance travelled by walking:

Speed × time

$7\times y=7y$

Now, the total distance travelled by Julio:

$8x+7y=52$

Substituting the value of $x$ from equation (1) we get:

$8x+7(7-x)=52$

$8x+49-7x=52\\\\x+49=52$

Subtracting both sides by 49 we get:

$x=3.$

The time Julio travelled with bike = 3 hours.

Now, to get the time Julio travelled by walking by substituting the value of $x$ :

$y=7-x\\\\y=7-3\\\\y=4\ hours.$

The time Julio travelled by walking = 4 hours.

Therefore, Julio travel 3 hours by biking and 4 hours by walking.

7 0

3 years ago