Triangle ABC is similar to triangle FGH. Angle A measures 42 degrees. Angle B measures 19 degrees. Find the measure of angle H.

Answers

Answer 1
Answer:

Answer:

The measure of the angle H is 119°.

Step-by-step explanation:

Since, when two triangles are similar then their all corresponding angles are congruent or equal in measure,

Given,

\triangle ABC\sim \triangle FGH

By the above statement,

m\angle A=m\angle F

m\angle B=m\angle G

m\angle C=m\angle H

We have,

m\angle A=42^(\circ) and m\angle B=19^(\circ)

Since, m\angle A+m\angle B+m\angle C = 180^(\circ)

\implies m\angle C=180^(\circ)-m\angle A - m\angle B=180^(\circ)-42^(\circ)-19^(\circ)=119^(\circ)

\implies m\angle H=119^(\circ)

Hence, the measure of the angle H is 119°.

Answer 2
Answer: H=180-42+19
H=119

sum of angles of a triangle is 180

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There are 2,100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population density? (Use 3.14 for π) Area of a circle = πr2 0.02 bacteria per square millimeter 0.42 bacteria per square millimeter 2.39 bacteria per square millimeter 52.5 bacteria per square millimeter

Answers

The population density is 0.418 bacteria per mm².

What is Area of Circle?

A circle's area is the area that it takes up in a two-dimensional plane.

The  formula for area of circle is, A = πr²,  where r is the radius of the circle. The unit of area is the square unit, such as m², cm², etc.

Given:

Radius= 40 mm

So, Area of petri dish = πr²

                                    = 3.14x(40 mm)²

                                    = 3.14 x 1600 mm²

                                    = 5024 mm²

and, Population Density

= 2100 / 5024

= 0.418 bacteria per mm²

Hence, the population density is 0.418 bacteria per mm².

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Population Density = # bacteria/area

Area = πr^2
= 3.14•(40 mm)^2
= 3.14•1600 mm^2
= 5024 mm^2

Pop Density = 2100 / 5024
= 0.418 bacteria per mm^2

The answer is 0.42 bacteria per square mm

Which equation is y = 2x² – 8x + 9 rewritten in vertex form? A. y = 2(x – 2)² + 9 B. y = 2(x – 2)² + 5 C. y = 2(x – 2)² + 1 D. y = 2(x – 2)² + 17

Answers

The equation y = 2x² – 8x + 9 can be rewritten as y = 2(x – 2)² + 1.To further simplify this equation, you can factor out the 2 from the front to give y = 2(x – 2)(x – 2) + 1. This makes the equation simpler to manipulate and solve for x.

Now, we need to set the equation equal to zero to find the x-intercepts. When y = 0, we have 0 = 2(x – 2)(x – 2) + 1 which can be rewritten as 0 = (x – 2)(x – 2).

To solve this equation, we need to find the roots, or solutions, of the equation. Using the Quadratic Formula, the roots are going to be x = 2 ± √(2² – 4(2)(1)) / 2(2)

This simplifies as x = 2 ± √2 / 4, so our two x-intercepts are x = 0.5 and x = 3.5.

The graph of y = 2(x – 2)² + 1 will have x-intercepts at (0.5, 0) and (3.5, 0). Therefore, the points of intersection of the graph of y = 2(x – 2)² + 1 and the x-axis are (0.5, 0) and (3.5, 0).

baseball card come in packs of a dozen 12 cards matt has 132 baseballcards.how many packs of baseball cards did he buy i need help in proportion

Answers

Well let's see first we have to divide
132 divided by 12 is 11
Now to check and prove your answer we should use the multiplication.
11 times 12 is 132.
So now you have a solid answer with proof behind it.
If u need a sentence you might want it to go something like this;
Matt brought 11 packs of baseball cards since 132 divided by 12 is 11. 12 times 11 is 132 cards.
Hope I helped!

Answer:

11

Step-by-step explanation:

you will need to divide 132 by 12. and you will get 11. Bam that simple hope you have a great day! :)

the functions f(x) and g(x) are described using the following equation and table: f(x) = −6(1.02)x x g(x) –1 –5 0 –3 1 –1 2 1 which equation best compares the y-intercepts of f(x) and g(x)? the y-intercept of f(x) is equal to the y-intercept of g(x). the y-intercept of f(x) is equal to 2 times the y-intercept of g(x). the y-intercept of g(x) is equal to 2 times the y-intercept of f(x). the y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

Answers

The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).

How to determine the y-intercepts?

The function f is given as:

f(x) = -6(1.02)^x

Set x to 0

f(0) = -6(1.02)^0

Evaluate

f(0) = -6

From the table of function g(x), we have:

g(0) = -3

This means that:

f(0) = 2 * g(0)

Hence, the y-intercept of f(x) is equal to 2 times the y-intercept of g(x).

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The functions f(x) and g(x) are described using the following equation and table: f(x) = −6(1.02)x x g(x) –1 –5 0 –3 1 –1 2 1 which equation best compares the y-intercepts of f(x) and g(x)?

Answer:

the y-intercept of f(x) is equal to 2 times the y-intercept of g(x)

Solve each system of equations by graphing y=-1/2x+5 and y=3x-2

Answers

just make the equations equal to each other.  -0.5x+5=3x-2.  Solve for x and find that it is 2, via simple algebra.  Since you know x is 2, sub it in in either equation to find y.  y should be 4.  So the point that fits both equation is (2,4).  This shows that the two graphs of these lines will intersect at this exact point.

If you were to graph these two lines, you ould see that the point of intersection is at (2,4) like we solved for.

Circle A and Circle B are congruent circles. Which statement must be true?

Answers

Answer:

There is not enough information given to determine which statement must be true. Additional information about the relationship between the two circles is needed