PLEASE HELP - mid term review question!

The isosceles triangle theorem states that if two sides of a triangle are _________, then the angles opposite those sides are congruent.


A. similar

B. adjacent

C. congruent

D. proportional

Domain is the set of values for which the given function is defined. The correct option is A.

Domain is the set of values for which the given function is defined, therefore the are values that the function can take.

Range is the set of all values which the given function can produce an output.

Domain of a function is the range of the inputs which the function can take, therefore, the domain of the function shown in the mapping is,

x|x= -5, -3, 1, 2, 6}

Hence, the correct option is A.

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Answer:

$.46 or 46 cents per foot

Step-by-step explanation:

3 yards = 4.14

1 yard is 3 feet

3 yards is 9 feet

4.14 ÷ 9 = .46

Answer:

34.3 square unit.

Step-by-step explanation:

[tex]calculate \: df \: using \: pythagoras \\ theorem \\ df {}^{2} = 8 {}^{2} + 6 {}^{2} \\ df {}^{2} = 64 + 36 \\ df {}^{2} = 100 \\ df = \sqrt{100} \\ df = 10 \\ calculating \: for \: the \: area \: of \: \\ angle \: \: dfg \\ using \: heros \: formular \\ \\ area = \sqrt{s(s - a)(s - b)(s - c)} \\ s = \frac{a + b + c}{2} \\ s = \frac{10 + 11 + 7}{2} = \frac{28}{2} = 14 \\ area = \sqrt{14(14 - 10)(14 - 11)14(14 - 7)} \\ area = \sqrt{14(4)(3)(7)} = \sqrt{14 \times 84} \\ area = \sqrt{1176} = 34.2928564 \\ to \: the \: nearest \: tenth \: = 34.3[/tex]

Here it is stated that, side DE = 8 units, side EF = 6 units, side FG = 7 units and side GD = 11 units. We have to find area of ∆DFG, here we will use heron's formula which is given by:

Area of ∆ = √[s(s – a) (s – b) (s – c)]

Here a, b, and c are sides of ∆. We have;

So firstly lets calculate a i.e DF by using Pythagoras theorem on ∆DEF:

➸ DF² = 8² + 6²

➸ DF² = (8 × 8) + (6 × 6)

➸ DF² = 64 + 36

➸ DF² = 100

➸ DF = √(100)

➸ DF = √(10 × 10)

➸ DF = 10 units

Now, lets calculate s i.e semi - perimeter:

Now, using heron's formula on ∆DFG to calculate its area:

➸ Area(∆DFG) = √[14(14 – 10) (14 – 7) (14 – 11)]

➸ Area(∆DFG) = √[14(4) (7) (3)

➸ Area(∆DFG) = √(14 × 4 × 7 × 3)

We can write it as;

➸ Area(∆DFG) = √(2 × 2 × 2 × 7 × 7 × 3)

➸ Area(∆DFG) = 2 × 7√(2 × 3)

➸ Area(∆DFG) = 14√(6)

➸ Area(∆DFG) = 14 × 2.449

➸ Area(∆DFG) = 34.28

➸ Area(∆DFG) = 34.3 square units (approx)

Answer:

D is the answer for you.

(x+4) is a factor of this trinomial given , Option A is the right answer.

A factor is a number o expression that completely divides the number or the expression and the remainder is equal to zero.

The given trinomial is

x² +12x+32

x² + 8x +4x +32

x(x+8)+4 (x+8)

(x+8)(x+4)

From the given option Option A (x+4) is the right answer.

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if a/b and c/d are rational expressions,a/b / c/d = a*b/c*d is false.

A fraction number is a number that represents a portion of a larger number, where the larger number might be any integer. It has the shape of a numerator and a denominator.

The given rational expression is;

a/b and c/d

Given relation;

[tex]\rm \frac{\frac{a}{b}}{\frac{c}{d}}\\\\ \frac{a d}{bc}[/tex]

When two fractions are divided the number got reversed and multiplied by the fraction.

Hence the given calculation is false.

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Answer: false

Step-by-step explanation: .

The answer is 45


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Answer:

12 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

[tex] - | - x| = - 12 \\ - x = - 12 \\ x = 12 \: \: \: or \: \: \: x = - 12 \\ [/tex]

Solution :{-12,12} so it's D

Please give brainliest

It took 3 days to complete a work by 10 people.

The efficiency is the output of the work which we divide by the work input and then express it in a percentage form.

Here, Efficiency of 1 person to complete a piece of work in 30 days is 1/30.

The number of days to complete the work = n days

Number of person to complete the work = p.

Now, according to question

Number of days to complete the work by 10 people = 30 / 10

                                                                                      = 3 days.

Thus, it took 3 days to complete a work by 10 people.

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Answer:

Step-by-step explanation:

AB = 51

AC = 120

BC = AC - AB

BC = 120-51

BC = 69 units

Answer:

Step-by-step explanation:

When 2 lines are perpendicular, their slopes are negative reciprocals of one another.  Here, if the slope of A is -1/2, the slope of B is +2/1, or just 2.

The standards that use 2.4 GHz are:

A wifi standard defines two characteristics of the wi-fi network, which are speed and frequency.

Such that there are two common frequencies, 2.4 GHz (usually with larger speed) and 5 GHz (usually with lower speed)

The standards that use 2.4 GHz are:

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An equation is formed of two equal expressions. The graph for the given situation can be drawn as shown below.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The graph for the given equation y=-5x+2 can be drawn as shown below.

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Step-by-step explanation:

if7=25

therefore??=20

Cross multiply

7 multiply 20 and then divide by 25

=28/5

5.6

round off it will be 6

hope it helps

Answer:

The measure of each interior angle of a regular decagon is 144 degrees.

Step-by-step explanation:

The measure of the interior angles of a decagon is 1440, due to the formula being (n-2)(180). Since a decagon is a ten sided shape, it would be (10-2)(180).

8 x 180= 1440.

Next, we divide the total by the number of the sides the polygon has—ten. 1440 divided by 10 is 144, so the measure of each interior angle is 144 degrees.

Answer:

Its the last option.

Step-by-step explanation:

The function will  rise from the left and descend to the right.

f(x) ---> -∝ as x ---> -∝ and f(x) ---> -∝ as x ---> ∝

The graph of h(x) is the graph of g vertically shifted down 5 units. Then the correct option is C.

Functions are found all across mathematics and are required for the creation of complex relationships.

The function g(x) = x² is transformed to obtain function h:

h(x) = g(x) − 5

h(x) = x² − 5

The graph h(x) get shifted downward by 5 units.

Then the correct option is C.

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Probability helps us to know the chances of an event occurring. The estimated number of left-handed persons in the school is 89.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given the number of girls is 320, the probability that a girl is left-handed is 0.2. Therefore, the number of girls who are left-handed is,

Number of left-handed girls = (320×0.2) = 64

Given the number of boys is 250, the probability that a boy is left-handed is 0.1. Therefore, the number of boys who are left-handed is,

Number of left-handed boys= (250×0.1) = 25

Hence, the estimated number of left-handed persons in the school is 89.

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The measure of apothem is 1.75 cm.

The complete question is

The area of the regular octagon is 10.15 cm2.

What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?

A polygon with eight sides , eight angles and eight vertices is called an octagon.

If a is the Side of the octagon.

10.15 = 2(1+√2) a²

a² = 10.15 / [2×(1+1.414)]

a² = 2.10

a = 1.45 cm

Therefore the side = 1.45 cm

A = 8 × (a × h)/2

If we consider  8 equilateral triangles with

a = face of octagon

h = Apothem of octagon

10.15 = 8 × (1.45 × h)/2

h = 10.15 /4/ 1.45

h = 1.75  cm

Therefore the measure of apothem is 1.75 cm.

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Answer:

6

Step-by-step explanation:

f(6) is the y-value when x = 6

From inspection of the graph, f(6) = -6

g(5) is the y-value when x = 5

From inspection of the graph, g(5) = -5

Substitute the found values into the given equation:

  4 · f(6) - 6 · g(5)

= 4 · (-6) - 6 · (-5)

= -24 - (-30)

= -24 + 30

= 6

A function assigns the values. The correct option is C.

A function assigns the value of each element of one set to the other specific element of another set.

The complete question is:

Function h is a transformation of the parent exponential function. Which statement is true about this function? h(x) = 2^(x-5)

As x approaches negative infinity, h(r) approaches negative infinity.

As x approaches positive infinity, h(t) approaches 0.

As x approaches positive Infinity, h(t) approaches positive infinity.

As x approaches negative infinity, h(a) approaches positive infinity.​

The graph of the function is given below, as it can be observed that as x approaches positive Infinity, h(t) approaches positive infinity.

Hence, the correct option is C.

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The Voltage of the given Circuit is gotten as; V = 36 - 2j Volts

We are given;

Current; I = 3 + 4j amps

Resistance; R = 4 - 6j ohms

From ohms law, we know that;

V = IR

Thus;

V = (3 + 4j) * (4 - 6j)

V = 12 + 16j - 18j - 24j²

Now, in vector notation; j² = -1. Thus;

V = 12 - 2j + 24

V = 36 - 2j Volts

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Answer:

-125 is the correct answer

Answer:

x = -125

Explanation:

[tex]\Longrightarrow \dfrac{1}{x} = (-5)^{-3}[/tex]

Apply the negative exponent rule: a⁻ᵇ = 1/aᵇ

[tex]\Longrightarrow \dfrac{1}{x} = \dfrac{1}{\left(-5\right)^3}[/tex]

Expand the power:

[tex]\Longrightarrow \dfrac{1}{x} = \dfrac{1}{\left(-5\right)\left(-5\right)\left(-5\right)}[/tex]

Simplify the following:

[tex]\Longrightarrow \dfrac{1}{x} =- \dfrac{1}{\left125}[/tex]

Flip the following:

[tex]\Longrightarrow x = -125[/tex]

Answer:

option 2

Step-by-step explanation:

the chord- chord angle BFE is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

∠ BFE = [tex]\frac{1}{2}[/tex] ( BE + DC) = [tex]\frac{1}{2}[/tex] (72 + 152)° = [tex]\frac{1}{2}[/tex] × 224° = 112°

Answer:

a = 2

b = -3

c = -2

Step-by-step explanation:

The standard form of a quadratic equation:

ax² + bx + c = 0

…………………………

in order to determine the equation

in standard form ,we have to expand the given expression :

(2x + 1)(x - 2) = 2x² - 4x + x - 2

                     = 2x² - (4x - x) - 2

                     = 2x² - 3x - 2

Then the standard form is :

2x² - 3x - 2

The product of three and five-sevenths is given by (D) Fifteen sevenths.

In fraction multiplication, we multiply the corresponding position like we multiply numerator with numerator and denominator with another denominator.

The denominator for a whole number is always 1.

Here given the numbers are three and five-sevenths, that is [tex]3,\frac{5}{7}[/tex].

So here since 3 is a whole number then the denominator of it is 1.

We can write 3 as [tex]\frac{3}{1}[/tex].

So product [tex]=\frac{5}{7}\times\frac{3}{1}=\frac{5\times3}{7\times1}=\frac{15}{7}[/tex]

Using the fraction model we get,

Here we can see that there are three bars with seven divisions in which fives are shaded.

So in multiplication with three we have to take the shaded region as the numerator and have to all the shaded and total bar for once.

here a total number of divisions in one bar is 7, so the denominator of the product is 7.

A total number of shaded divisions is 15, so the numerator of the product is 15.

So the product is [tex]\frac{15}{7}[/tex], that is fifteen sevenths.

Hence the correct option is (D) Fifteen sevenths.

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Answer:

V = 302

Step-by-step explanation:

Here, we have Radius(r)=4and Height(h)=18(Given)

l^2=r^2+h^2

l^2=42+182

l^2=340

l=18

Volume=  πr2h/3

=  3.14159⋅42⋅18/3

= 302

Answer:

301.59289

Step-by-step explanation:

radius(r) = 4

height (h) = 18

we know,

volume of cone =

[tex]\pi \: {r \:}^{2} \frac{h}{3} [/tex]

[tex] \frac{22}{7} \: \times {4}^{2} \: \frac{18}{3} [/tex]

=301.59289

Answer:

The answer is B. 7/15!!!

i just guessed and got it right, but i knew c. wasnt the answer.