MATHEMATICS HIGH SCHOOL

Please try to help thanks

Answers

Answer 1

Answer:

Answer:

1 ) alternate interior angle

2) corresponding part of congruent triangle

3) vertically opposite angle

4)∆HED congruent to ∆FEG

5) parallel lines and alternate interior angle

Related Questions

Noah is studying dogs to determine their interest in blue toys versus red toys. He splits a group of 20 dogs into 2 groups. One group is given blue toys and the other is given red toys. Noah has the dogs play with the toys until they lose interest. He finds that the dogs that had blue toys played with them 2 minutes longer than the dogs that played with red toys. Noah rerandomizes the data, calculates the difference between the means, and creates the dot plot shown below. Based on the data, can Noah conclude the difference is significant?.
Which of the following is true of a rectangle?It is also a square. The sum of its angle measures is 360°. It has four congruent angles. It has four congruent sides.
Simplify 3.3l : 900ml
-2 1/4÷(-3 1/3)=? Solve into a simplified proper or improper fraction.
Which of the following expressions is incorrect? A. |-12| = 12 B. |12| = 12 C. -|-12| = -12 D. -|12| = 12

Are the functions f(x)= |x-4| and g(x)= |x| -4 equivalent?

Answers

No, because the first one will always give a positive answer while the second could give a negative answer.

Find the average rate of change from x = 10 to x = 17 for the function f(x) = 0.01(2)^x and select the correct answer below.A) 10.24
B) 185.78
C) 1300.48
D) 1310.72

Answers

For x = 10, f(x) = f(10) = 0.01(2)^10 = 10.24

For x = 17, f(x) = f(17) = 0.01(2)^17 = 1310.72

Now using formula for the calculation of average rate of change of f(x).

(f(b) – f(a)) / b – a = (f(17) – f(10)) / 17 – 10 = (1310.72 -10.24) / 7 = 185.78

So option “B” is correct.

Answer:

the answer is b

Step-by-step explanation:

Match the proof . This is really hard.

Answers

Answer:

DBFEA

Step-by-step explanation:

Which expression is in simplified form for the given expression and states the correct variable restriction? u^2-4/(u-6)(u-2)
a. 1/u-3, u=3
b. u+2/u-6, u=2, u=6
c. 1/2u+12, u=-6
d. u+2/u-6, u=6

Answers

(u^2 - 4) / (u-6)(u-2)

Resriction u ≠ 6 and u ≠ 2 (because the denominator cannot be equal lto zero)

Simplification

u^2 - 4 is a difference of two squares, then you can factor it as the product of (u+2)(u-2). So, you can write the expression as:

(u+2)(u-2) / (u-2)(u-6)

Simplify u -2 (because it appears in the numerator and the denominator)

(u + 2) / (u -6), with u ≠2 and u≠6

Max purchased a box of green tea mints. The nutrition label on the box stated that a serving of three mints contains a total of 10 calories

Answers

full box=180 calories
C(x)=number of calories
x=number of mints

therefor
full box=180=(10/3)x
180=(10/3)x
solve for x aka number of mints per box

multiply both sides by 3/10 ( since 10/3 times 3/10=30/30=1 so 1x)

540/10=x
54=x

54 mints per box

An isosceles triangle is to be drawn with its two equal sides of length 10. What is the maximum possible area of the triangle?

Answers

Explanation:
Since an isosceles triangle has two equal sides, if the triangle is split in half vertically, the length of the base on each side is:
12

c
m
÷
2
=
6

c
m
We can then use the Pythagorean theorem to find the height of the triangle.
The formula for the Pythagorean theorem is:
a
2
+
b
2
=
c
2
To solve for the height, substitute your known values into the equation and solve for
a
:
where:
a
= height
b
= base
c
= hypotenuse
a
2
+
b
2
=
c
2

a
2
=
c
2
−
b
2

a
2
=
(
10
)
2
−
(
6
)
2

a
2
=
(
100
)
−
(
36
)

a
2
=
64

a
=
√
64

a
=
8
Now that we have our known values, substitute the following into the formula for area of a triangle:
b
a
s
e
=
12

c
m

h
e
i
g
h
t
=
8

c
m
A
r
e
a
=
b
a
s
e
⋅
h
e
i
g
h
t
2
A
r
e
a
=
(
12
)
⋅
(
8
)
2
A
r
e
a
=
96
2
A
r
e
a
=
48
∴
, the area is
48

c
m
2
.

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Started at 10° and rose 1° each minute

Which of the following numbers is irrational?0.13✓3-0.3

Solve this system of equation solution. y=-x-7 y=-4