MATHEMATICS HIGH SCHOOL

What additional information is required for the 2 triangles to be congruent by ASA

Answers

Answer 1

Answer:

Answer:

Choice A

Step-by-step explanation:

That's because IJ and UV are both in between two angles which are congruent to each other

Answer 2

Answer:

Answer:

Step-by-step explanation:

You need a side inbetween the angles

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Carlos invested part of $3,000 in a 10% certificate account and the rest in a 6% passbook account. The total annual interest from both accounts is $270. How much did he invest at 6%?

Answers

(3000-n)*(10/100)+n*(6/100) = 270
300 - 0.1n + 0.06n = 270
300 - (0.1n - 0.6n) = 270
300 - 0.04n = 270
-0.04n = -30
n = -30/-0.04 = 750
Investment at 6% = 750
Investment at 10% = 3000 - 750 = 2250
And to check just plug it back in so,
(0.06*750)+(0.1*2250) = 270

How many liters will a U.S. 6-quart container hold? Round your answer to the nearest hundredth

Answers

You are given volume of 6 USquart. You are required to convert this into liters and be rounded off to thenearest hundredth. Keep in mind that forvolume, every one liter is equal to 1.05669 US quart. So you need to divide the6 US quart. This is equal to 6.34014 liters. To round of the nearest hundredth,the ocation of the hundredth is the four in 6.34014. since after four iszero, the round off rule states that from 0-4, the preceding number remainsunchanged. So the final answer is 6.34 liters.

6 quarts can hold 6.34 liters.

#1. What term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line? #2. Which term describes a line segment that connects a vertex of a triangle to the midpoint of the opposite side?

Answers

#1
The ALTITUDE is a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line.

#2
The MEDIAN a line segment that connects a vertex of a triangle to the midpoint of the opposite side

Answer:

# 1

Altitude of a triangle.

# 2

Median of a triangle.

Step-by-step explanation:

Altitude--

An altitude is a line that passes through a vertex and it intersects the opposite side of that vertex at 90 degree i.e. the line is perpendicular to the opposite side.

The point where the three altitudes of a triangle meet is called the Orthocenter of the triangle.

Median of a triangle--

The median of the triangle is the line which passes through a vertex and meets the midpoint of the opposite side of the triangle.

The point where the three medians of a triangle meet is called the Centroid of the triangle.

Which answer is the equation of the line represented in function notation?A.) f(x) = 3x
B.) f(x) = -3
C.) f(x) = 0.3x
D.) f(x) = 3

Answers

The answer would be D.

Hello there.

Which answer is the equation of the line represented in function notation?

D.) f(x) = 3

Find the greatest common factor of 3y2 - 4y.

Answers

3y^2 - 4y =

y( 3y - 4)

Greatest common factor: y

Tell whether 30 is divisible by 2,3,5,6 or 9

Answers

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30 .

9 is not a factor of 30 .

30/3=10
30/2=15
30/5=6
30/6=5
30/9=3.333333333333

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