Answers
Answer:
The value of ∠4 is 45° .
Step-by-step explanation:
Given that , ∠4 = x + 30 ° & ∠2 = 2x + 15 .We need to find the measure of ∠4 . So from the figure we can see that , ∠2 & ∠4 are corresponding angles .So they will be equal.
⇒ ∠2 = ∠4 [ Corresponding angles ]
⇒ x + 30° = 2x + 15°
⇒ 2x - x = 30° - 15°
⇒ x = 15°
Hence the value of x is 15°
⇒ ∠4 = x + 30°
⇒ ∠4 = 15° + 30°
⇒ ∠4 = 45°
★ Hence the value of ∠4 is 45° .Related Questions
In example 5, a hot dog stand is located halfway between the shoe store and the pizza shop, at point H. Show that PH=HM.
A park, a shoe store, a pizza shop, and a movie theater are located in order on a city street. The distance between the park and the shoe store is the same as the distance between the pizza shop and the movie theater.
Answers
Answer:
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227.4 + 213.5
513.9 – 46.1
348.2 + 62.8
637.9 – 206.3
Answers
Step-by-step explanation:
227.4 + 213.5 = 440.9
513.9 – 46.1 = 467.8
348.2 + 62.8 = 411
637.9 – 206.3 = 431.6
Answer:
1: 440.9
2: 467.8
3: 411
4: 431.6
Hope this helps.
Answer:
1. 440.9
2. 467.8
3. 411
4. 431.6
Step-by-step explanation:
URGENT!!! PLEASE HELP (30 points !!!)
Use the line tool to graph the equation on the coordinate plane.
y=-3
Answers
CAN YOU PLEASE HELP ME ?
Answers
Answer:
Where is the question we can help you with
Rearrange x = 3g + 2 to make g the subject g=?
Answers
Step-by-step explanation:
x=3g+2
you need to move the equation to the other side, first you'd start with the one furtherest from g, which is is 2.
x = 3g
-2. - 2
and minus it from both sides
x-2=3g
3g is like 3x, which is 3 times x and you need to use the opposite operators so times would become divide.
so now it becomes x-2 over 3=g
Find the length of side A
Answers
Answer:
D) 4
Step-by-step explanation:
Find the slope of the line through (9, 4) and (0, 5).
Answers
Answer:
It's just y2-y1 over x2-x1
Step-by-step explanation:
so pick a coordinate and make it 1 and make the other one 2 and put in the numbers.
The slope of the line will be m = -1/9.
What is the general equation of a Straight line?The general equation of a straight line is -y = mx + c
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis
Other possible equations of line are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have a line through (9, 4) and (0, 5).
The slope of the line will be -
[m] = (4 - 5)/(9 - 0)
[m] = - 1/9
Therefore, the slope of the line will be m = -1/9.
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Solve for x. Enter the solutions from least to greatest.
(x+15)^2-10=0
Answers
Answer:
lesser x = -1.84lesser x = -8.16Step-by-step explanation:
Given the expression
[tex]\left(x+5\right)^2-10=0[/tex]
Add 10 to both sides
[tex]\left(x+5\right)^2-10+10=0+10[/tex]
Simplify
[tex]\left(x+5\right)^2=10[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
solve
[tex]x+5=\sqrt{10}[/tex]
Subtract 5 from both sides
[tex]x+5-5=\sqrt{10}-5[/tex]
[tex]x=\sqrt{10}-5[/tex]
[tex]x=-1.8[/tex]
so
[tex]x+5=-\sqrt{10}[/tex]
Subtract 5 from both sides
[tex]x+5-5=-\sqrt{10}-5[/tex]
Simplify
[tex]x=-\sqrt{10}-5[/tex]
[tex]\:x=-8.2[/tex]
As -1.84 > -8.16
so
lesser x = -1.84lesser x = -8.16A student observes a difference in the activity level of fish at a pet store. The fish in an aquarium near the window are swimming around more quickly tha the fish in an aquarium placed in the back of the store. The student forms a hypothesis about the effect of sunlight on fish activity levels and arranges to conduct an experiment. Which variable could be an independent variable in the student's experiment? types of fish sold speed of swimming fish amount of time fish were active temperature of water in fish tank
Answers
Answer: Types of fish sold
The type of fish sold is the independent variable in the student's experiment. So, the correct option is (A).
What are Variables?
A variable is any kind of characteristic, number, or quantity which can be measured or counted. It can also be called a data item. Examples of variables are age, sex, occupation income and expenses, country of birth, capital expenditure, class grade, eye color, and vehicle type.
There are two types of Variables are:
1. Dependent variable
A dependent variable is a type of variable which changes as the result of independent variable manipulation which is the outcome interested in measuring, and it "depends on" the independent variable.
2. Independent variable
An independent variable is the type of variable which is manipulated or varied in an experimental study in order to detect its effects. This is "independent" because it is not affected by any other variable in the study.
In above case, this is independent because types of fish characteristic is not dependent for the experiment.
Thus, the type of fish sold is the independent variable in the student's experiment. So, the correct option is (A).
Learn more about Variables, here:
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The expression 17x is equivalent to the expression x 7.
Answers
Answer:
False
Step-by-step explanation:
There is not a one in the 2 expression listed
If it takes 3 gallons of gas to travel 90 miles, how many gallons of gas does it take to travel 240 miles?
Answers
Answer:
8 gallons
Step-by-step explanation:
PLEASE HELP ITS DUE SOONNN
Answers
Answer:
Red
Step-by-step explanation:
Bc if you - 8x it would be -2y=12-8x and then you divide -2 by 12 and -8x the answer would be y=4x-6
Answer:
y = 4x - 6
Step-by-step explanation:
8x - 2y = 12
-2y = -8x + 12
-2y/-2 = -8x/-2 + 12/-2
y = 4x - 6
Analyze the diagram below and complete the instructions that follow.
Find the value of x.
A. 18
B. 22
C. 24
D. 28
Answers
Answer:
A
Step-by-step explanation:
Using Pythagoras' identity on the large right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
(x + 32)² = 30² + 40² = 900 + 1600 = 2500 ( take the square root of both sides)
x + 32 =[tex]\sqrt{2500}[/tex] = 50 ( subtract 32 from both sides )
x = 18 → A
It costs $60 to reserve a movie theater for a party. There is also a charge of $3 for each person. Which expression represents the total cost to reserve a movie theater for n persons?
Answers
Identify the constant of proportionality from the table.
Answers
Answer:
A. 9
Step-by-step explanation:
A P E X
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If
1/4 of the drink is apple juice and
2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form
Answers
Answer:
[tex]Cranberry:Apple:Orange = 7:5:8[/tex]
Step-by-step explanation:
Given
[tex]Apple = 1/4[/tex]
[tex]Orange = 2/5[/tex]
Required
Determine the ratio of Cranberry to Apple to Orange
First, we calculate the fraction of Cranberry using:
[tex]Cranberry + Apple + Orange = 1[/tex]
Substitute values for Apple and Orange
[tex]Cranberry + 1/4+ 2/5= 1[/tex]
Collect Like Terms
[tex]Cranberry = 1- 1/4- 2/5[/tex]
Take LCM
[tex]Cranberry = \frac{20 - 5 - 8}{20}[/tex]
[tex]Cranberry = \frac{7}{20}[/tex]
The ratio is then represented as:
[tex]Cranberry:Apple:Orange = 7/20:1/4:2/5[/tex]
Multiply through by 20
[tex]Cranberry:Apple:Orange = 20(7/20:1/4:2/5)[/tex]
[tex]Cranberry:Apple:Orange = 20*7/20:20*1/4:20*2/5[/tex]
[tex]Cranberry:Apple:Orange = 7:5:8[/tex]
Fellow brains pls help.... Is this true or false?
Answers
Y=x anything means True
simplify 5 x a x 5 x a
Answers
Answer:
25 a squared
Step-by-step explanation:
please give me a brainliest!!<3
A company that makes hair products had 9000 people try new shampoo of the 9000 people 72 had a mild allergic reaction what percent of the people had a mild allergic reaction
Answers
Answer:
0.8%
Step-by-step explanation:
Number of people had mild allergic attack = 72
% of people who had mild allergic attack = 72/9000 × 100%
= 0.8%(Answer)
find the measurement indicated in each parallelogram first one says 60 and second says 79 please help !
Answers
Answer:
1. 60+X=180(adjacent angles of parallelogram)
X=120
2. X=79(opposite angles of parallelogram)
Angles P and R are congruent so
P & R both have a value of 60°
60x2= 120°
360-120=240° are left
Angles S and Q are also congruent so divide 240 by two
240/2=120°
Answer 1.)Q=120°
Again it equals 360° total
Angles X and V are congruent so
X & V both have a value of 79°
Answer 2.) V=79°
Magda is going to finance her car purchase using an auto loan which statement below is accurate
Answers
Answer:
where are the answer choices
Answer:
The statement that is accurate is:
"Her principal is the cost of the car, minus any down payment she makes."
Step-by-step explanation:
Find the sum of 4x^2-4x+104x
2
−4x+10 and 2x^2+5x-82x
2
+5x−8.
Answers
The sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have:
First expression:
[tex]\rm 4x^2-4x+10[/tex]
Second expression:
[tex]\rm 2x^2+5x-8[/tex]
Let's denote the sum of these two expressions with F(x)
[tex]\rm F(x) = \rm 4x^2-4x+10+\rm 2x^2+5x-8\\\\\\\rm F(x) = 6x^2+x+2[/tex]
Thus, the sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.
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can somebody good at math help me with these please I would really appreciate it
Answers
Answer:
down below:)
Step-by-step explanation:
sale price discount
1. multiplied by 0.82
2. multiplied by 0.75
3. multiplied by 0.9
1. 18.45
2. 30
3. 23.4
John is working for his dad during his summer vacation. Complete the rate chart below to find how much money John makes in a certain number of days.
Number of Days 15 18 21 24 27
Total Amount of Money Made (in dollars) 75 ? 105 120 135
A.
70
B.
80
C.
90
D.
105
Answers
Answer:
it's answer is C 90
hope it helps you
Answer:
the answer is 90
I hope it helps mate
I will always help you understanding your assingments
enjoy your day
#Captainpower:)
how do you do this equation ?
solving inequalities
8 ≤ 2x < x + 7
Answers
Answer:
4≤x<7
x€[4,7)
Step-by-step explanation:
8≤2x<x+7
=>8≤2x
=>2x<x+7
x≥4
x<7
therefore
4≤x<7
x€[4,7)
if anyone knows please help!!! i'm a bit confused
Answers
Answer:
yes
Step-by-step explanation:
Calculate these, and write each awnser in Standard Form.
Answers
Step-by-step explanation:
Do you need answers to all of them of some of them?
1. (4.5×10¹²)÷(9×10^10)
(45×10^-1×10¹²)÷(9×10^10)
(45×10¹¹)÷(9×10^10)
(45÷9)×(10¹¹÷10^10)
5×10
if you need help with the others kindly let me know
Need help with this math problem
Answers
So it’s D= -5y^2
help me please!!!!! :D
Answers
Answer:
13 or 30
Step-by-step explanation
Write 5^3 as a product of the same factor.
Answers
Answer:3*3*3*3*3=243
Step-by-step explanation: