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1 year ago

Line l and line m intersect.Prove: ∡1 ≅ ∡3

Mathematics

2 answers:

konstantin123 [22]1 year ago

7 0

Answer:

l & m intersect

2 & 3 are supplementary

1 & 3 are congruent

Step-by-step explanation:

ikadub [295]1 year ago

5 0

Line l and line m intersect
2 is supplementary to 3
Angle 1 congruent to angle 3

Hope this helped :)

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Past the core

Basile [38]

Answer:

Building's shadow length = 180 feet.

Step-by-step explanation:

Given:

A 50-foot flagpole is at the entrance of a building that is 300 feet tall.

Its forms a right angled triangle from both ends,both of them are similar because the angle of the sun is the same at the same time of day.

From similar triangle property we can say that.

⇒ length of the building shadow times height of the flagpole's = length of the flagpole's shadow times height of the building

$\frac{length\ of\ the\ building\ shadow}{height\ of\ the\ building} =\frac{length\of\ the\ flagpole's\ shadow}{height\ of\ the\ flagpole's}$

Plugging the values in the above equation we have,

Let length of the building shadow ='x' feet

⇒ $\frac{x}{300} =\frac{30}{50}$

⇒ $\frac{x}{300}\times 300 =\frac{30}{50}\times 300$

⇒ $x=\frac{300\times 30}{50}$

⇒ $x=\frac{9000}{50}$

⇒ $x=180$ feet.

So the length of the building shadow is 180 feet.

5 0

3 years ago

A dinosaur fossil is 93,550,000 years old. How can you express this age in scientific notation

garik1379 [7]

1. 9.355 × $10^{7}$ can be used to express the age of the dinosaur fossil.

Step-by-step explanation:

Step 1; To determine which value is the closest to 93,550,000 we must calculate how much the 4 options equal. If there are decimals in the number, they are moved from the decimal part of the number to the integer part with every power of 10 i.e. 2.4 × 10 = 24, 2.44 × 10² = 244.

Step 2; Now we determine how much the 4 options equal.

1. 9.355 × $10^{7}$ = 93,550,000.

2. 9 × $10^{7}$ = 90,000,000.

3. 9.36 × $10^{7}$ = 93,600,000.

4. 9.3 × $10^{7}$ = 93,000,000.

Out of the four options, option 1 equals the value of 93,550,000. So option 1 can be used to express the age with the highest precision.

5 0

3 years ago

Read 2 more answers

In a ten pin bowling the highest possible score in a single game is 300. At one point in the season, John had an average score o

Sindrei [870]

Answer:

John need to get 293 in his next game to bring his average up to 183.

Step-by-step explanation:

John starts with N games played and averaging 177 points per game.

In game N+1, John scored 199 points.

$\frac{177N + 199}{N+1}=178\\177N+199=178N+178\\N=21\\$

So, John has now played (N+1) = 22 games.

We need to know what score John needs in game 23 to bring his average to 183.

$\frac{177*21 + 199+Y}{23}=183\\3916+Y=4209\\Y=293\\$

8 0

2 years ago

the credit remaining on a phone card in dollars is a linear function of the total calling time made with the card in minutes. Th

Advocard [28]

Answer:

he credit remaining on a phone card (in dollars) is a linear function of the

total calling time made with the card (in minutes), as shown in the figure below.

The remaining credit after 45 minutes of calls is $22.80 , and the remaining

credit after 64 minutes of calls is $19.76.

What is the remaining credit after 73 minutes of calls?

;

Not sure what figure you are referring to, write an equation from the given values:

Assign the values as follows

x1 = 45; y1 = 22.80

x2 = 64; y2 = 19.76

Find the slope (m) using the formula: m = %28y2-y1%29%2F%28x2-x1%29

m = %2819.76-22.80%29%2F%2864-45%29 = %28-3.04%29%2F%2819%29

m = -.16

Write the equation using the point/slope formula: y - y1 = m(x - x1)

y - 22.80 = -.16(x - 45)

y - 22.80 = -.16x + 7.2

y = -.16x + 7.2 + 22.80

y = -.16x + 30

;

Use this equation to find the credit (y) when minutes (x) = 73

y = -.16(73) + 30

y = -11.68 + 30

y = $18.32; credit after 73 minute of calls

That you can also see the original value of the phone card: x=0, y = $30

;

Did this help you understand what's going on here? Any questions

Step-by-step explanation:

8 0

2 years ago

Which is the best estimate of the mass os a basketball

Hatshy [7]

5 or 6 pounds because there not that heavy

8 0

3 years ago