In the figure below, if segment B E is the perpendicular bisector of segment A D, what is the value of x?
Answers
These triangles are congruent because of AAS.
So,
2x + 4 = x + 7
x = 3
Hope this helps!
Related Questions
The button on Sam's calculator that calculates the sine of an angle is broken.
Explain how to solve for x without using the sine ratio. Round x to the nearest tenth.
Answers
0.3249 = 4/adjacent side
and adjacent side = 4/0.3249 = 12.31
Now let's apply Pythagoras to find x
4² + 12.31² = x²
16 + 151.55 = x² and x² = 167.55
Then x = √167.55 and x = 12.94 ≈ 13
Angie and Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package and 2 months of game play. Each software package costs $20. If their total is $115, what is the cost of one month of game play?
Answers
75+40=115
Giselle deposited $3500 into a savings account for which simple interest is calculated monthly. If her $3500 grew to $3514 after 1 month, what is the yearly interest rate on Giselle's account?
Answers
3514=3500(1+(1/12)r)
Solve for r
r=0.048*100=4.8%
Hope I helped :)
3 1/4 ÷ 1 3/8
(If you don't know what (⬆) that is it is written as 3 and 1/4 divided by 1 and 3/8)
Answers
Simplify (-2) ^2 + |-15| ÷ 3
Answers
4+15÷3
4+5
9
The answer is 9
-2^2=4
so now the problem look like 4 + |-15| ÷ 3
|-15|= 15 because absolute vaule just makes it positive
4+15 ÷ 3
15 ÷ 3=5
4 +5 =9
9
The pitcher for the robins throws a baseball at 90.0 miles per hour. The pitcher on the bluebirds throws a baseball 121 feet per second. Which pitcher throws a baseball faster?
Answers
Answer:
The pitcher of robins throws a baseball faster.
Step-by-step explanation:
Speed of base ball thrown by the pitcher for the robins = 90.0 mile/hour
1 mile = 5280 feets
1 hour = 3600 seconds
[tex]90.0 mile/hour=\frac{90.0\times 5280 feet}{3600 s}=132 feet/s[/tex]
Speed of base ball thrown by the pitcher for the bluebirds= 121 feet/s
132 feet/s > 121 feet/s
The pitcher of robins throws a baseball faster.
Which point of concurrency can lie outside the triangle?
A.
incenter
B.
median
C.
orthocenter
D.
centroid
Please select the best answer from the choices provided
A
B
C
D
Answers
Write the standard form of the equation of the circle with the given center and radius.center (0,0), requals=11
Answers
How do u know if an inequality is sometime ,never , or always true ?
Answers
Use foil method (8a - 8)(4a + 1)
Answers
__________________________________________________
Given:
__________________________________________________
(8a − 8)(4a + 1) ; Let us expand this expression using the: "FOIL" method.
___________________________________________________
"FOIL" stands for "First terms, Outer terms, Inner Terms, Last Terms" ;
in that order.
___________________________________________________
Basically:
_______________________________________________________
(a + b)(c + d) = ac + ad + bc + bd ;
in which the:
First term is: "ac" ;
Outer term is: "ad" ;
I nner term is: "bc" ;
Last term is: "bd " .
__________________________________
So; we have (given):
(8a − 8)(4a + 1) ;
__________________________________________________
Let's take the "First, Outer, Inner, and Last terms" ; as follows:
__________________________________________________
F: (8a)*(4a) = 32a² ;
__________________________________________________
O: (8a)*(1) = 8a ;
__________________________________________________
I : (-8)*(4a) = -32a ;
__________________________________________________
L: (-8)*(1) = -8
__________________________________________________
Now, let us write out these terms:
__________________________________________________
32a² + 8a − 32a - 8 ;
__________________________________________________
Now, combine the "like terms" in this expression; to simplify:
+ 8a − 32a = -24a ;
__________________________________________________
and rewrite the simplified expression ; which is:
__________________________________________________
32a² − 24a − 8 .
______________________________________________________
ALGEBRA 2/ TRIG QUESTION ATTACHED Please help ❤️❤️
Answers
sin(A) =-4/5 → sin⁻¹(- 4/5) = A → A = - 53.13
cos(B) = -5/13 → cos⁻¹ (- 5/13) = B → B = 112.62
tan (A+B) = sin(A+B)/cos(A+B) with A+B = -53.13 + 112.62 = 59.49
tan (A+B) = sin(59.49)/cos(59.49) = 0.86154/0.507688 = 1.6969.
(Answer H = 56/33 = 1.6969)
What is the measure of angle S?
Answers
132 + 56 + 79 + x = 360
267 + x = 360
x = 360 - 267
x = 93 <===
Grace and jack Share £140 in the ratio 3:4 work out the amout that jack gets
Answers
3 + 4 = 7 and 140 * 1/7 = £20
So jack gets 4 * 20 = £80
( Grace gets 3 * 20 = £60
The amount of money that Jack gets between the money shared is £80
What is the ratio?In mathematics, the ratio is a relation that gives a quantitative measure between two expressions in a way that tells us how A is contained in B.
Given that:
The total amount shared by Grace and Jack = £140The total ratio = 3+4 = 7The amount that Jack get is:
= (4/7) × £140
= £80
Learn more about calculating ratios here:
https://brainly.com/question/2328454
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A vineyard has 165 acres of chardonnay grapes. a particular soil supplement requires 6.00 grams for every square meter of vineyard. how many kilograms of the soil supplement are required for the entire vineyard? (recall that 1 km2 = 247 acres)
Answers
(145 acres / 247 acres) x 1 x 10^6 m^2 = 5.87 x 10^5 m^2
5.5 g/m^2 x 5.87 x 10^5 m^2 = 3.23 x 10^6 g
3.23 x 10^6 g x 1kg/10000 g = 3.23 x 10^3 kg
Answer:
4008.10 kg
Step-by-step explanation:
We have been given that a vineyard has 165 acres of chardonnay grapes. a particular soil supplement requires 6.00 grams for every square meter of vineyard.
We know that 1 squared km equals 247 acres.
[tex]\text{165 acres}\times\frac{\text{1 km}^2}{\text{247 acres}}[/tex]
[tex]165\times\frac{\text{1 km}^2}{247}[/tex]
[tex]0.6680161943319838\text{ km}^2[/tex]
We know 1 square km equals 1000000 meters.
[tex]0.6680161943319838\text{ km}^2\times \frac{1000000\text{ m}^2}{\text{ km}^2}[/tex]
[tex]0.6680161943319838\times 1000000\text{ m}^2[/tex]
[tex]668016.1943319838\text{ m}^2[/tex]
Now, we will multiply 6 by [tex]668016.1943319838\text{ m}^2[/tex].
[tex]668016.1943319838\text{ m}^2\times \frac{\text{6 grams}}{\text{m}^2}[/tex]
[tex]668016.1943319838\times \text{6 grams}[/tex]
[tex]4008097.1659919028\text{ grams}[/tex]
[tex]4008097.1659919028\text{ grams}\times \frac{1\text{ kg}}{\text{1000 grams}}[/tex]
[tex]4008.09716599190281\text{ kg}[/tex]
[tex]4008.10\text{ kg}[/tex]
Therefore, 4008.10 kg of the soil supplement are required for the entire vineyard.
Amaya's test scores in algebra 1 are 78 and 91. She has one more test left and wants to earn a B for the course, which is from 80-89 inclusive
Answers
80%.
Answer:
Amaya must get marks between 71 and 98 in order to get B grade
Step-by-step explanation:
Amaya's test scores in algebra 1 are 78 and 91.
Let she got x marks in third test
The average all the three test must be 80-89
i.e. [tex]80\leq\dfrac{78+91+x}{3}\leq 89[/tex]
Multiplying all sides by 3, we get
240≤ 78+91+x≤ 267
240≤ 169+x≤ 267
Subtracting all sides by 169, we get
71≤ x≤ 98
Hence, Amaya must get marks between 71 and 98 in order to get B grade
Allie has $20 to spend to take some friends bowling. The bowling alley rents a pair of shoes for $4 & each game costs $1 for up to & including eight players. If Allie & her friends want to play three games, how many pairs of shoes can they rent?
Answers
20 subtracted by 3 is 17.
17 divided by 4 is 4.
The number of shoes they can rent is 4.
Hope this Helps!
A restaurant earns $1073 on Friday and $1108 on Saturday. Write and solve an equation to find the amount xx (in dollars) the restaurant needs to earn on Sunday to average $1000 per day over the three-day period. Write your equation so that the units on each side of the equation are dollars per day.
Answers
Subtract your scores for questions 6,10,14, and 17 from the number 6 explain
Answers
The coordinates of the endpoints of and are A(3, 6), B(8, 7), C(3, 3), and D(8, 4). Which statement describes how and are related?
a)AB//CD
b)AB//CD, and AB bisects CD
c)AB//CD, but AB does not bisect CD
d)AB is neither parallel nor perpendicular to CD
Answers
Answer:
The correct answer is option a.
Step-by-step explanation:
If a line passing through two points, then the slope of a line is defined as
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The coordinates of the endpoints of are A(3, 6), B(8, 7), C(3, 3), and D(8, 4).
[tex]m_{AB}=\frac{7-6}{8-3}=\frac{1}{5}[/tex]
[tex]m_{CD}=\frac{4-3}{8-3}=\frac{1}{5}[/tex]
Since slope of AB and CD are same, therefore the line AB is parallel to CD because the slope of parallel lines are equal.
Two parallel lines never intersect each other, therefore AB does not intersect CD. Only option a is correct.
.help me please thannks
Answers
In 1 minute he can type 58 words, in 8 minutes he can type 8 times more:
58 x 8 = 464 words in 8 minutes
How do you solve this equation: 3x+1/5y=7
Answers
3(2) + (1/5)5 = 7
6 + 5/5 = 7
6 + 1 = 7
7 = 7
How many years difference is there between 250 ce and 250 bce?
Answers
250 ce ----> 0 ce = 250 years
0 ce ----> 250 bce = 250 years
250+250= 500 years
There are 500 years between 250 CE and 250 BCE
Years that are denoted as BCE are counted backwards until they get to 0 after which years are then denoted as CE and these ones count upwards.
This means that to find the difference between these two years, you must first count from 250 BCE to 0 and then from 0 to 250 CE.
250 BCE to zero = 250 years
Zero to 250 CE = 250 years
Then sum them up:
= 250 + 250
= 500 years
There is therefore a difference of 500 years between these two years.
Find out more at https://brainly.com/question/16352950.
What is the total cost of a pair of jeans that are priced $50.00 if there is 7 1/2% sales tax
Answers
7.5 = .075
50 multiplied by .075 is 3.75
50 added with $3.75 is $53.75.
The total cost of the jeans are $53.75.
Hope this helps!
What is the answer to this equation y=4x+8x for x
Answers
x is equal to y/12
Starting with y=4x+8x
Simplify by adding like terms (4x and 8x)
y=12x
And divide by 12 on both sides to isolate the x
[tex] \frac{y}{12} =x[/tex]
Would be your answer
~I hope this helps!~
Divide these polynomial a (27x 4 - 18x 3 + 9x 2) ÷ 3x
Answers
he Mitchell family is renting a boat for the day. The boat rental has a flat fee of $100 plus $20 for each hour. They have to pay for a whole hour even if they are not out on the lake for a whole hour. For example, if they rent the boat for 3 and one-half hours, they have to pay for 4 hours. If they want to spend $250 or less on the boat rental for the day, how many hours can they rent the boat? Write an inequality and solve.
Answers
250-100 = 150
150/20 = 7.5
7 hours
inequality: 100+20x <=250
They can rent the boat for 7 hours for $ 240 in total.
Since the Mitchell family is renting a boat for the day, and the boat rental has a flat fee of $ 100 plus $ 20 for each hour, and they have to pay for a whole hour even if they are not out on the lake for a whole hour, to determine, if they want to spend $ 250 or less on the boat rental for the day, how many hours can they rent the boat, the following calculation must be performed:
Fixed cost + Variable cost multiplied by the number of hours = Final cost 100 + 20X = 250 20X = 150 X = 150/20 X = 7.5 100 + 20 x 8 = 100 + 160 = 260 100 + 20 x 7 = 100 + 140 = 240
So they can rent the boat for 7 hours for $ 240 in total.
Learn more in https://brainly.com/question/14963327
least common multiple of 8 and 12
Answers
hopee this helped u
12⋅1=12
This is not divisible by 8.
12⋅2=24
This is divisible by 8.
8⋅3 =24
the least common multiple is 24
plz help 50 points i am so confused
Answers
Answer: 15
Step-by-step explanation: 6*5*4*3*2 /2*4*3*2 = 720/48 = 15
question answered by
(jacemorris04)
Which of the following numbers is irrational? a fraction with numerator negative 9 and denominator 5, a fraction with numerator square root of 5, a fraction with numerator 7 and denominator 3, square root of 9
Answers
With the other scenarios, every number is rational. All whole numbers/integers are rational. The root of 9 is 3, which is whole and rational. Negative numbers are also rational so long as they are whole/an integer. This allows for you to be able to write a fraction using only integers (or with decimals that have a finite end).
However the root of 5 goes on infinitely.
Answer:
The answer is square root of 5.
Step-by-step explanation:
Irrational numbers are those that cannot be expressed as a ratio of two integers.
And when we express these in decimal form, they have an infinite and nonrecurring expansion like the number π and the square root of 2.
The answer is square root of 5. This is because the square root of 5 will never result in a number that will be exact.
SOLVE Janet piano teacher charged $12.50 for a 30-minute lesson if Janet has a 4 lesson per month how much will she owe her piano teacher a year