The given congruency of the sides [tex]\mathbf{\overline{BE}}[/tex] and [tex]\mathbf{\overline{LO}}[/tex] and [tex]\mathbf{\overline{BO}}[/tex] and [tex]\mathbf{\overline{LE}}[/tex] as well
as the congruency of the common side [tex]\mathbf{\overline{BL}}[/tex] gives.
ΔBEL ≅ ΔLOB by SSS congruency postulate
Which values correctly completes the table?The completed two column proof is presented as follows;
Statement [tex]{}[/tex] Reasons
1. [tex]\underline{\overline{BE} \cong \overline{LO}}[/tex] [tex]{}[/tex] 1. Given
2. [tex]\overline{BO}[/tex] ≅ [tex]\overline{LE}[/tex] [tex]{}[/tex] 2.
3. [tex]\underline{\overline{BL} \cong \overline{BL}}[/tex] [tex]{}[/tex] 3. Reflexive property of congruency
4. ΔBEL ≅ ΔLOB [tex]{}[/tex] 4. SSS congruency postulate
Side-Side-Side, SSS, congruency postulate states that if three sides of
one triangle are congruent to three sides of another triangle, the two
triangles are congruent.
Learn more about different congruency postulates here:
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prove that -
[tex] \sin {}^{2} (\theta) + \cos {}^{2} (\theta) = 1[/tex]
ty !
Answer:
Step-by-step explanation
There are many ways to prove this identity. But, I will use the simplest one. If you have a right triangle, the length of the horizontal side is x, the length of the vertical side is y, and the hypotenuse is r. So, the relation between x and r can be written in cosine form:
[tex]\cos\theta=\frac{x}{r}[/tex]
The relation between y and r can be written in sine form:
[tex]\sin\theta=\frac{y}{r}[/tex]
Pythagoras told you that for the right triangle [tex]x^{2}+y^{2}=r^{2}[/tex] should be satisfied. Substitute x and y from the cosine and sine form:
[tex](r\cos\theta)^{2}+(r\sin\theta)^{2}=r^{2}[/tex]
[tex]r^{2}\cos^{2}\theta+r^{2}\sin^{2}\theta =r^{2}[/tex]
the square of r will cancel out, and you can get your identity:
[tex]\cos^{2}\theta+\sin^{2}\theta=1[/tex]
Jen invested $3500 into a continuously compounded account with an interest rate of 3.1%. After 9 years, how much money is in the account? Round your answer to the nearest whole number
Answer:
4626
Step-by-step explanation:
why heart shape is a 2d irregular shape?
Answer:
Dimensions and angles.
Step-by-step explanation:
A 3d shape has length, width, and height. A 2d regualr shape has equal sides... what makes it irregular is the different angles.
I hope this helps you :)
What is the value of x in the triangle?
A.
B.
C.
D.
Answer:
The base angles of an isosceles triangle are the angles formed by the base and one leg of the triangle. The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent.Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.[tex]x = \sqrt{ {7}^{2} + {7}^{2} } \\ x= \sqrt{49 + 49} \\ x = \sqrt{98} \\ x= \sqrt{49 \times 2} \\ \boxed{x= 7 \sqrt{2} }[/tex]
What is the value of x in the triangle?
A. 7
B. 14
✓C. 7√2
D. 7√2/2
C. is the right answer.The following histogram shows the number of minutes that 29 students took to complete an exam. Based on this histogram, about 10% of students took less than _____ minutes to complete the exam.
According to the histogram, it is found that about 10% of the students took less than 40 minutes to complete the exam.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
In this problem, out of a total of 29 students, the histogram states that:
1 student finished the exam in less than 10 minutes.2 students finished the exam in between 30 and 40 minutes....
12 students took between 70 and 80 minutes to finish the exam.10% of 29 is given by:
0.1 x 29 = 2.9.
About 10% of 29 is of 3, hence, since 1 + 2 = 3, about 10% of the students took less than 40 minutes to complete the exam.
More can be learned about histograms at https://brainly.com/question/25836450
If 81 is added to a number, the result is 39 less than three times the number. Find the number.
Answer:
60
Step-by-step explanation:
The number is represented as x.
81 is added to a number is
81 + x
39 less than three times the number
3x - 39
So
81 + x = 3x - 39
Solve for x.
81 + x = 3x - 39 Add 39 to each side so 39 cancels on the right.
81 + x + 39 = 3x - 39 + 39
81 + x + 39 = 3x
81 + 39 + x = 3x
120 + x = 3x Subtract x from each side.
120 + x - x = 3x - x
120 = 3x - x
120 = 2x Divide each side by 2
120/2 = 2x/2
120/2 = x
60 = x
a railroad inspects 360 railcars. if 95% passed, how many cars passed the inspection?
Jan doubled her starting number, added 5, subtract 7, divided by 3, then squared the result. If her final answer was 36, what was her starting number?
(Answer due at 12:00 pm PDT)
Answer: I think its 39
Step-by-step explanation: I did the math
Jan's starting number was 10.
What are Numbers?A number is an arithmetic value used for representing the quantity and used in making calculations.
Given that Jan doubled her starting number, added 5, subtract 7, divided by 3, then squared the result.
Let her original number be x
Therefore, {(2x +5 - 7)/3}² = 36
{(2x -2)/3}² = 36
(2x -2)/3 = 6
2x - 2 = 18
2x = 20
x = 10
Hence, Jan's starting number was 10.
For more reference on Numbers, click;
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20. Favorite Cookie Ten percent of adults say oatmeal raisin is their favorite
cookie. You randomly select 12 adults and ask them to name their favorite
cookie. Find the probability that the number who say oatmeal raisin is their
favorite cookie is (a) exactly four, (b) at least four, and (c) less than four.
(Source: WEAREVER)
Answer:
Step-by-step explanation:
A
exactly 4
There are 12 adults.
4 like oatmeal cookies the best.
P(exactly 4) = 4/12 = 1/3 = 0.3333...
B)
At least 4
4 5 6 7 8 9 10 11 12
So there are 9 choices (4 .. 12) of those who could like oatmeal cookies the best.
P(9) = 9/12 = 0.75
C)
1 2 3
There are at most 3 people who could like oatmeal cookies the best.
P(<4) = 3/12 = 0.25
Less than 4 who would choose oatmeal cookies = 1/4
742,617 to the nearest ten tousand
Answer:
740,000
Step-by-step explanation:
The ten-thousands digit is the 4.
Change all digits to the right of the 4 to 0.
742,617 becomes 740,000.
Since the first digit to the right of the 4 is 2, and not a digit from 5 through 9, we keep the 4 and do not change it to 5.
Answer: 740,000
Answer:
the answer is 740000
Step-by-step explanation:
because I have big brain
How many milliliters are there in 8 liters?
Group of answer choices
at a 911 call center, calls come in at an average rate of one call every two minutes. assume that the time that elapses from one call to the next has the exponential distribution. Find the probability after a call is received, it takes more than 3 minutes for the next call to occur.
Using the exponential distribution, it is found that there is a 0.2231 = 22.31% probability after a call is received, it takes more than 3 minutes for the next call to occur.
What is the exponential distribution?The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
In this problem, the mean is of two minutes, hence the decay parameter is given by:
[tex]\mu = \frac{1}{2} = 0.5[/tex]
The probability that it takes more than 3 minutes for the next call to occur is given by:
[tex]P(X > 3) = e^{-0.5 \times 3} = 0.2231[/tex]
0.2231 = 22.31% probability after a call is received, it takes more than 3 minutes for the next call to occur.
More can be learned about the exponential distribution at https://brainly.com/question/18596455
Andres works at a job that pays him 12.50 an hour.Andres works 30 hours a week.How much does he make each month after 30% of california state income tax is taken out?
Answer:
he makes $112.50
Step-by-step explanation:
first you have to find out how much he makes before tax is taken out. all you do is multiply 12.50 by 30, which gives you $375.00. then, you can either put in the calculator 30%375 or 0.3×375(both are the same thing) and you should get $112.50
1/2(x - 4) = 5
Thank you!
Answer:
x = 14
Step-by-step explanation:
1/2(x - 4) = 5 - Given
1/2x - (1/2 * 4) = 5 - Distribute
1/2x - 2 = 5 - Multiply 1/2 by 4
1/2x = 7 - Add 2 to both sides of the equation
x = 14 - Divide both sides of the equal by 1/2
What is the value of y if the line through the two given points is to have the indicated slope (4,y) and (2,6), M=-4?
Answer:
y= -2
Step-by-step explanation:
y2-y1 6-y = 8
x2-x1 2-4= -2
To solve for y : Your answer has to be 8 then you divide 8/-2 = -4
6-y=8
subtract 6 from both sides = -y =2
multiply each side by(-1)
to remove the - from Y (-1)y =(-1)2
y =-2
Read the following question
Answer:
G. Water skiing > Cycling
Step-by-step explanation:
You burn more calories in water skiing
If a circle is inscribed in a square, then the diagonal of the square contains a diameter of the circle.
a) Always
b) Sometimes
c) Never
Answer: C
Step-by-step explanation:
The side length is equal to the diameter, not the diagonal.
Evaluate the exponential function f(x) = (1/2)x
Х 4, -1 ,0 ,1 ,3
f(x) 16, ?, 1, 1/2, 1/8
Which value completes this table?
A. 12
B. 8
C. 4
D. 2
Answer:
2
Step-by-step explanation:
You should substitute x = -1 to the f(x) and you will find:
[tex]f(-1)=\left(\frac{1}{2}\right)^{-1}=\frac{1}{2^{-1}}=2[/tex]
So, the answer for the ? is 2.
Alvin is 15 years younger than Elga. The sum of their ages is 45. What is Elga's age?
Answer:
Elga is 30 and Alvin is 15
Step-by-step explanation:
45-15=30
30-15=15
30+15=45
Answer:
[tex]\huge\boxed{\text{Alvin = 15, Elga = 30}}[/tex]
Step-by-step explanation:
In order to find Alvin and Elgas age, we can use a system of equations.
Let us assume that [tex]a[/tex] represents Alvin's age and [tex]e[/tex] represents Elgas age.
We can create two equations:
[tex]a = e-15[/tex]
[tex]a+e=45[/tex]
We can now use substitution to find each value. Let's substitute [tex]a = e-15[/tex] into [tex]a+e=45[/tex] as a.
[tex](e - 15) + e = 45[/tex]
We can now simplify this equation and solve for e.
[tex]2e-15 = 45\\2e = 60\\e = 30[/tex]
So we know that Elga is 30 years old. To find Alvin's age, we can substitute the value of e (30) back into one of the equations. Let's do it for [tex]a+e=45[/tex].
[tex]a + 30 = 45\\a = 45-30\\a=15[/tex]
So Elga is 30 years old and Alvin is 15 years old.
Hope this helped!
For the following questions: In order to make a specific shade of green paint, a painter mixes 1.5 cups of blue paint, 2 cups of green paint, and 0.5 cups of white paint. How much of each color is needed to make 100 cups of this shade of green paint?
ONLY THE NUMBER IS NEEDED
How much white paint?
Answer:
150 cups, 200 cups, and 50 gallons Step-by-step explanation:
How long is the flashlight?
Answer:
what flashlight
Step-by-step explanation:
Answer:
Flashlight.
Step-by-step explanation:
Which FlashLight are you looking for? Here are some Names and Explanations for them.
As a very general estimate, a low-lumen flashlight (under 50 lumens) will run for about 20-50 hours. A flashlight with 50-150 lumens will run for about 6-12 hours on it's highest setting, and high lumen flashlight or headlamp (over 150 lumens) will run about 2-8 hours on their highest settings.
Also most averge about 3 - 10 Inches.
What is the best first step if your plan is to find the exact value of cos 75°using the Cosine Angle Sum Identity?
Step-by-step explanation:
the best first step is to I identify (a+b) within the arguement which equal to 75. also, the values of cos or sin of these numbers should be known. in this case the numbers are 30 and 45 as their sum equates to 75.
comment if you need any further guidance.
If f(x) = − 5, what is f(8.6)?
1.) 3
2.) 4
3.) 8
4.) 9
Answer: It's 2.) 4 is the answer
Two minor league baseball players got a total of 360 hits. Washington had 14 more hits than Sanchez. Find the number of hits for each player.
Question content area bottom
Part 1
Washington had enter your response here
hits. Sanchez had enter your response here
hits.
Answer:
denote the number of hits that sanchez had with since washington had 18 more hits than sanchez we can say that washington had + 18 hits.
since the total number of hits is 308 we can write
+ ( + 18) = 308.
This is an equation for finding .
2 + 18 = 308
2 = 290
= 145.
so sanchez had 145 hits.
to find the number of hits by washington add 18:
+ 18 = 145 + 18 = 163.
Answer: sanchez had 145 hits and washington had 163 hits.
Step-by-step explanation:
Photo math said the answer was 2x but I’m not sure
In one year a taco truck makes 13,180 chicken tacos, 7,480 fewer beef tacos than chicken tacos, 2,500 fewer fish tacos than beef tacos. How many tacos does the truck make in all
Answer:
22,080 tacos
Step-by-step explanation:
13,180 - 7,480 = 5700
5700 - 2500 = 3200
13,180 + 5700 + 3200 = 22,080
given the function f(x)=11x-22
find f(3)
Answer:
f(x)=11x-22
f(3)=11(3)-22
11(3)-22
33-22=11
Is this a fair or biased sample.
A store owner wants to survey customers about the products he sells. He programs the computer to select 100 customers from the mailing list and sends them each a survey.
(I'm torn on this one because on one hand, he's only selecting customers from his mailing list which makes me think biased, on the other he is using the computer to randomly select them so that seems fair. Also, of the people who are sent the surveys, everyone may not apply. So I'm leaning towards biased.)
Answer:
biased
Step-by-step explanation:
even with the computer randomly picking people, they are still all on the mailing list.
Cathy travels 6 miles in 10 minutes. How far can she travel in 18 minutes? Write and solve a proportion to answer the question.
Answer:
10.8 miles
Step-by-step explanation:
Set up a proportion: [tex]\frac{6}{10} = \frac{x}{18}[/tex] Cross multiply, then divide: 18 × 6 = 108108 ÷ 10 = 10.8So, Cathy can travel 10.8 miles in 18 minutes.I hope this helps!
please help me now help me nowww please
Answer:
A. 1
B. 3
C. 2
D. 5
E. 4
F. 6