Answers
We see that angle 1 and angle 2 are equal.
By the vertical angle theorem, the opposite (vertical) angles of two intersecting lines are congruent, we see that angle 1 and angle 3 must be equal. Since angle 1 and angle 2 are equal, then angle 2 and angle 3 are equal.
And for angle 1, it must be 90 degrees, because if it was any other angle measure, angle 1 and angle 2 could never be equal
Related Questions
1) Multiple the following and write the answer:
7.06×5
Answers
Answer:
35.3
explanation:
7.06 × 5breakdown:
7 × 5 = 35 0.06 × 5 = 0.3total:
35 + 0.335.3[tex]\\ \rm{:}\dashrightarrow 7.06(5)[/tex]
[tex]\\ \rm{:}\dashrightarrow (7+0.06)(5)[/tex]
[tex]\\ \rm{:}\dashrightarrow 7(5)+0.06(5)[/tex]
[tex]\\ \rm{:}\dashrightarrow 35+0.3[/tex]
[tex]\\ \rm{:}\dashrightarrow 35.3[/tex]
One positive number is 5 more than twice another. If their product is 1827, find the numbers
Answers
Good luck
Find the measure of jml
Answers
The total measure of a straight line is 180 deg so if we know lmn then we can find the measure of x pretty easily.
3x + 69=180
Now simplify:
3(x+23)=180
X+23 =60
X = 37
Now multiply x by 3 to find the measure of jml
3*37=111
Which makes sense cause 111+69 = 180
the temperature drops from 60 degrees to 38 degrees in 3hrs how man degrees did the temp drop in 1 hr
Answers
Answer:
7.3degrees
Step-by-step explanation:
60 -38=22°
3hrs=22°
1hr=?
1×22=22÷3=7.3°
Which number is irrational?
\sqrt{121}
121
\sqrt{25}
25
\sqrt{3}
3
\sqrt{16}
16
Answers
What is the sum of the first 90 consecutive odd numbers?
Answers
Hope it helps pls brainlest:)
To put it simply. U in math means 'or' right?
I'm not looking for the answer oogle gives.
Answers
Answer:
U is Union
Step-by-step explanation:
In math, the symbol U represents the union of two sets.
PLS HELP I WILL REALY BE HAPPY IF YOU HELPED A window is being replaced with tinted glass. The plan below shows the design of the window. Each unit length represents 1 foot. The glass costs $13 per square foot. How much will it cost to replace the glass? Use 3.14 for π
Answers
Step 1 :
Separate the composite figure into simpler shapes as shown by the dashed lines : a rectangle, two semicircles with equal area (one is one the left side of the rectangle and other one is on the right side).
Step 2 :
Find the area the rectangle.
Length (l) = 5 ft
Width (w) = 4 ft
Use the formula.
A = lw
A = 5 · 4
A = 20 square ft
The area of the rectangle is 24 square feet.
Step 3 :
Find the combined area of two semi-circles.
Radius = 2 ft
Use the formula.
A = 2 x (1/2)πr2
A = πr2
A = (3.14)(2)2
A = (3.14)(4)
A = 12.56 square ft
The combined area of two semi circles is about 12.56 square ft.
Step 4 :
Find the area of the composite figure.
A = 20 + 12.56 = 32.56 square ft
Step 5 :
Calculate the cost of tinted glass for the window.
Total cost = Area · Cost per feet
Total cost = 32.56 · $28
Total cost = $911.68
So, the cost of tinted glass for the window is $911.68.
(I'm not sure about the answer ) and mark me as brainy !
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS MATH QUESTION RIGHT
Answers
Answer:
reflection, rotation, and translation would be correct
Step-by-step explanation:
dilation/enlargement changes size
Shalonda made a budget for her family. Her total monthly income is $3,250 and she spends $760 on rent. Approximately what percent of Shalonda’s budget is allocated for rent?
Answers
76 / 325 = 23.38% so 23.4% so round down to 23% is used for rent
Can someone help me with this adverb question? I’ll give brainliest.
Select all the adverbs.
Maddie is anxiously awaiting the result of her interview with the electronics company.
Answers
10 of 15
What is
1/6 as a decimal?
Give your answer rounded to 3 decimal places.
Answers
Answer:
=> 0.167Step-by-step explanation:
=> 1/6 as a decimal
=> by dividing we get 0.1666....
=> rounded to 3 decimal places = 0.167
find the size of angle XYZ give your answer to 1 decimal place
Answers
Find: XYZ
In XYZ
13/4
Y=(13/4)
Y= 72.89°
So answer is y=72.9°
Simplifying and solving rational p
Answers
Answer:
A. x = 0, 14
B. x = 12, -2
Step-by-step explanation:
A.
2x - 3 x + 6
/ = /
x + 1 x - 2
2x^2 - 7x + 6 = x^2 + 7x + 6
- x^2 - 7x - 6 - x^2 - 7x - 6
x^2 - 14x = 0
( x + 0 ) = 0 ( x - 14 ) = 0
x = 0, +14 +14
x = 14
-----------------------------------------------------
B.
2 x
/ = /
x 5x + 12
x^2 = 2( 5x + 12 )
x^2 = 10x + 24
- 10x - 24 - 10x - 24
x^2 - 10x - 24 = 0
( x - 12 ) = 0 ( x + 2) = 0
+12 +12 -2 -2
x = 12, x = -2
I hope this helps!
Multiply and simplify.
(2√5 - √10)*(5√2 + √10)
Answers
Answer:
[tex]=10\sqrt{10}+10\sqrt{2}-10\sqrt{5}-10[/tex]
Step-by-step explanation:
[tex](2\sqrt{5} -\sqrt{10})(5\sqrt{2}+\sqrt{10})[/tex]
[tex]=2\sqrt{5}\cdot5\sqrt{2}+2\sqrt{5}\sqrt{10}-5\sqrt{2}\sqrt{10}-\sqrt{10}\sqrt{10}[/tex]
[tex]=10\sqrt{10}+2\sqrt{50}-5\sqrt{20}-10[/tex]
[tex]=10\sqrt{10}+2\sqrt{25 \cdot 2}-5\sqrt{4 \cdot5}-10[/tex]
[tex]=10\sqrt{10}+2\sqrt{25}\sqrt{2}-5\sqrt{4}\sqrt{5}-10[/tex]
[tex]=10\sqrt{10}+2\cdot5\sqrt{2}-5\cdot2\sqrt{5}-10[/tex]
[tex]=10\sqrt{10}+10\sqrt{2}-10\sqrt{5}-10[/tex]
On ascertain day, $1 is worth 30.23 Russian rubles. Omar has $75. How many rubles will he get in exchange?
Answers
Answer:
Omar would get 2267.25 Russian rubles
Step-by-step explanation:
it's simple:
if one dollar equals 30.23 Russian rubles than you would do 75x30.23 and get the answer 2267.25 Russian rubles
hope that helps ;)
have a wonderful day!
How do you learn quantitative variables without getting confused so quick?
Answers
Step-by-step explanation:
integral of log(log x)+1 /(log x)² is equal tointegral of log(log x)+1 /(log x)² is equal to
Which graph represents the function f(x) = x^2-25/x+5
Answers
Answer:
x= -5
Step-by-step explanation:
f(x) = [ x^2 - 25 ] / [ x + 5 ] = [ (x + 5) ( x- 5)] / [ x + 5 ] = x - 5
This will be the graph of f(x) = x - 5 with a "hole" at x = - 5
The graph of the rational function f(x) = (x² - 25)/(x + 5) is represented by the graph second option (B) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The equation of the rational function:
f(x) = (x² - 25)/(x + 5)
As we know, in the rational function the denominator cannot be zero.
x + 5 ≠ 0
x ≠ -5 (there will be a hole at x = -5)
f(x) = (x - 5)(x + 5)/(x + 5)
Because: a² - b² = (a - b)(a + b)
f(x) = (x - 5)
The above function represents the linear function.
The slope of the linear function is positive.
m = 1
The y-intercept of the linear function is c = -5
Thus, the graph of the rational function f(x) = (x² - 25)/(x + 5) is represented by the graph second option (B) is correct.
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6. Find the volume of the cone. Use 3.14 for pl and round your answer to the nearest tenth
11 mi
D
5 mi
287.8 mi
869.2 mi
O 1,899.7 mi
57.6 mi
Answers
Answer:
D) 7.1 units³
Step-by-step explanation:
V = (3.14)(1.5)²(3/3)
= (3.14)2.25 = 7.1
A researcher collated data on americans’ leisure time activities. she found the mean number of hours spent watching television each weekday to be 2.7 hours with a standard deviation of 0.2 hours. jonathan believes that his football team buddies watch less television than the average american. he gathered data from 40 football teammates and found the mean to be 2.3. which of the following are the correct null and alternate hypotheses? h0: mu = 2.7; ha: mu less-than 2.7 h0: mu not-equals 2.7; ha: mu = 2.3 h0: mu = 2.7; ha: mu not-equals 2.7 h0: mu = 2.7; ha: mu greater-than-or-equal-to 2.3
Answers
The correct null and the alternative hypotheses are:
[tex]h_0: \mu = 2.7\\\\ h_a: \mu < 2.7[/tex]
What is a hypothesis?A hypothesis is an untested statement in mathematics that is supported by all available data and numerous weaker results.
A "conjecture" is a mathematical statement that has not been proven.
The given data in the problem is;
n is the sample size = 40
μ is the population mean = 2.7
[tex]\rm \sigma[/tex] is the standard deviation= 0.2
[tex]\bar x[/tex] is the sample mean:= 2.3
It is found that the null hypothesis always shows the equality sign.
So for the null hypothesis;
[tex]h_0: \mu = 2.7[/tex]
It is observed that the sample mean is less than the population mean in that case, the alternate hypothesis will be;
[tex]h_a: \mu < 2.7[/tex]
Hence the correct null and the alternative hypotheses are:
[tex]h_0: \mu = 2.7\\\\ h_a: \mu < 2.7[/tex]
To learn more about the hypothesis refer to the link;
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PLEASE HEELP QUICKLY
Answers
Answer:
y=-2x
Step-by-step explanation:
if x<-5
x+5<0
x-5 also<0
so
|x-5|=-(x-5)=-x+5
|x+5|=-(x+5)=-x-5
Hence
y=-x+5-x-5
or
y=-2x,if x<-5
Subject Congruent Shapes. (please help asap)
Problem 1
Answers
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The Length of PQ such that Triangle JKL is similar to Triangle PQR ~
To make the given triangles similar, we have to get the ratios of each of their corresponding side to be equal to one another.
That is :
[tex]\qquad \sf \dashrightarrow \: \dfrac{PQ}{12} = \dfrac{9}{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: PQ = \dfrac{9}{6} \times 12[/tex]
[tex]\qquad \sf \dashrightarrow \: PQ = {9}{} \times 2[/tex]
[tex]\qquad \sf \dashrightarrow \: PQ = 18 \: units[/tex]
hence, the option C is correct
Evaluate the expression
Answers
Solution:
Facts about absolute values:
The absolute value of a number is always positive. If the question asks to find the absolute value of a negative integer, the result will be the number's opposite.If the question asks to find the absolute value of a positive integer, the result will be the number itself.We know that:
Given expression: I-12IThis question is asking to find the absolute value of a negative integer. As said above, the result will be the negative integer's opposite.
=> -12's opposite is 12.The absolute value of -12 is 12.
20+20+???
a. 80
b. 20
c .40
d. 100
Answers
Answer:
c .40
Step-by-step explanation:
Answer:
c .40
Step-by-step explanation:
because we all now that 20+20 is the same as 20×2 which gives us 40
A college student earns $15,000 working part time at a bookstore. The student pays 110 of the earnings in taxes, spends 25 of the earnings on living expenses, and saves the remainder of the earnings. How much money does the student save?.
Answers
The total money that student saves after paying tax and other expenses is $9600
It is given that
Total earning = $15000
Tax = 1%
Spendings on living expenses = 25%
What is the percentage?The percentage is the value per hundred.
Total saving = Total earning- Tax-spendings on living expenses
Total saving = 15000-(11% of 15000 -(25%of 15000)
Total saving = 15000-11*15000/100 - 15000*25/100
Total saviing = 15000-1650-3750
Total saving = $9600
Therefore, The total money that student saves after paying tax and other expenses is $9600.
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Nabil has 1000 cm³ of material. He uses 8.7 cm³ to make a right triangular prism. He wants to make a second prism that is a dilation of the first prism with a scale factor of 5. How much more material does Nabil need in order to make the second prism? Select from the drop-down menu to correctly complete the statement.
96.2
87.5
78.8
Answers
Answer:
96.2
Step-by-step explanation:
The material Nabil need in order to make the second prism is 87.5
How does dilation affect length, area, and volume of an object?Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.
So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:
L = k × M
where 'k' will be called as scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by k² to get each other corresponding quantity from their similar figures' quantities.
So area of first figure = k² × area of second figure
Similarly,
Volume of first figure = k³ × volume of second figure.
It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.
We are given that;
Volume of material= 1000 cm³
Volume of prism= 8.7 cm³
Now,
Find the volume of the first prism using the formula: V = (1/2)bhℓ1, where b is the base, h is the height of the triangle, and ℓ is the length of the prism. Plug in the given values: V = (1/2)(8.7)(8.7)(10) = 378.45 cm³
Find the volume of the second prism using the same formula, but multiply each dimension by 5 since it is a dilation with a scale factor of 5: V = (1/2)(5b)(5h)(5ℓ) = (1/2)(43.5)(43.5)(50) = 46593.75 cm³
Subtract the volume of material he has from the volume of material he needs for both prisms: 1000 - (378.45 + 46593.75) = -45972.2 cm³
Since he needs more material than he has, he needs to get more material with a volume equal to | -45972.2 | cm³ or 45972.2 cm³.
Therefore, by dilation the answer will be 87.5
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The management of a restaurant with locations all over the country has developed a new hamburger that researchers believe will sell better than the hamburger that is currently sold. Which of the following is the best way to perform a randomized experiment with the goal of determining if this new hamburger will sell better than the hamburger that is currently sold?
Randomly select 40 regions from all regions throughout the country, have the restaurants in those regions stop selling the current hamburger, and start selling the new hamburger to see if sales increase.
Randomly select 40 regions from all regions throughout the country, have the restaurants in those regions stop selling the current hamburger, and start selling the new hamburger to see if sales increase.
Have all the company’s restaurants throughout the country stop selling the current hamburger and start selling the new hamburger to see if sales increase.
Have all the company’s restaurants throughout the country stop selling the current hamburger and start selling the new hamburger to see if sales increase.
Randomly select 40 restaurants, let each one decide if it wants to sell the new hamburger, and compare sales in those restaurants to sales in the restaurants that chose not to sell the new hamburger.
Randomly select 40 restaurants, let each one decide if it wants to sell the new hamburger, and compare sales in those restaurants to sales in the restaurants that chose not to sell the new hamburger.
Have all the restaurants in the western part of the country stop selling the current hamburger and start selling the new hamburger to se
Answers
Using sampling concepts, it is found that the best way to perform a randomized experiment with the goal of determining if this new hamburger will sell better than the hamburger that is currently sold is as follows:
Randomly select 40 restaurants, let each one decide if it wants to sell the new hamburger, and compare sales in those restaurants to sales in the restaurants that chose not to sell the new hamburger.
What is sampling?It is is a common statistics practice, when we want to study something from a population, we find a sample of this population.
For example:
I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents.
In this problem, a sample of randomly selected restaurants should be taken to sell the new hamburger, and then be compared with the ones who sell the old hamburger to see if sales increased, hence the correct option is:
Randomly select 40 restaurants, let each one decide if it wants to sell the new hamburger, and compare sales in those restaurants to sales in the restaurants that chose not to sell the new hamburger.
More can be learned about sampling concepts at https://brainly.com/question/25122507
WÝ is the perpendicular
bisector of XZ.
Answers
They are equal since the perpendicular bisector cuts them perfectly in half
x=8
Answer:
x = 8
Step-by-step explanation:
The halves of a bisected segment are congruent, so we have ...
YZ = YX
3x -5 = 2x +3
x = 8 . . . . . . . . add 5-2x
__
Additional comment
The right triangles are congruent, so ...
WZ = WX
2y +7 = 5y -8
15 = 3y
5 = y
What are the numbers to fill in this table?
Answers
Step-by-step explanation:
y = -50x -100
When x= 0, plug in 0 to x.
y = -50(0) -100
= 0 - 100
= -100
So in the first y box, you would put -100
I can't tell what the number is in bottom right box so i don't know what x is going to be
f (x) = -5 x +1 F (1) = ..........
Find value of x
Please help asap
Answers
Answer:
-4
Step-by-step explanation:
First step, plug 1 in for X
Second step, -5(1)+1
= -4