Step-by-step explanation:
∠1 = ∠4 = 57° (vertical angles)
∠6 = 123° (same side interior angles are supplementary)
Answer:
The answer is 123
Step-by-step explanation:
Angle 5 is the same measure as angle one, and a straight line measures 180 degrees. Subtract 57 from 180, and you get the remaining angle. 123 degrees.
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
Step-by-step explanation:
Take you ruler and draw a horizontal line from point (0,-2)
When you do, the point where y = -2 is when x = - 3
Answer:
x = -3
Step-by-step explanation:
the question asks for what x the function = -2
if you imagine horizontal line passing through -2 then you cann see that it crosses graph when x = -3 and 0
HELP PLSSSSSS I NEED TO GET THIS DONE
Answer:
1). a = 10, b = 6
2). a = 5, b = 3, c = 8
Step-by-step explanation:
Given expression is,
1). [tex]\frac{7^{6}\times 7^8}{7^4}[/tex] = [tex]\frac{7^a}{7^4}=7^4[/tex]
= [tex]\frac{7^{2+8}}{7^4}[/tex] [Since [tex]x^{m}\times x^n=x^{(m+n)}[/tex]]
= [tex]\frac{7^{10}}{7^4}[/tex]
= [tex]7^{{10-4}}[/tex]
= [tex]7^{6}[/tex]
Therefore, a = 10 and b = 6
2). [tex]\frac{2^5}{4}=\frac{2^5}{2^a}=2^b=c[/tex]
= [tex]\frac{2^5}{2^2}[/tex]
= [tex]2^{{5-2}}[/tex]
= [tex]2^{3}[/tex]
= 8
Therefore, a = 5, b = 3 and c = 8
Which square root is between 4 and 5?
Answer:
√24
Step-by-step explanation:
4.89897948 will be the answer. Which is a number in between 4 and 5. Hope this helps :)
What equation is equivalent to 3(a+4)-5(a-2)=22?
Answer:
a = 0
Step-by-step explanation:
=> 3(a+4)-5(a-2) = 22
Opening Brackets
=> 3a+12-5a+10 = 22
=> 3a-5a+12+10 = 22
=> -2a+22 = 22
Subtracting 22 to both sides
=> -2a = 0
Dividing both sides by -2
We get,
=> a = 0
Answer:
a = 0
Step-by-step explanation:
3(a+4)-5(a-2)=22
3a+12-5a+10=22
-2a+22=22
Subtract 22 from both sides
-2a=0
Multiply both sides by -1
2a= -0
2a=0
Divide both sides by 2
a=0
Hey I just realized my answer is really similar to Ujalakhan01's so sorry if it seems like I copied them.
pleas help please helpppp
Answer:
the third option
Step-by-step explanation:
the inverse of a statement is just the opposite. So the opposite of your statement would be "if a quadrilateral is NOT a rectangle, then it is NOT a parallelogram."
hope this helps!
the lines below are perpendicular. If the slope of the green line is 3/2, what is the slope of the red line?
A. 2/3
B. -2/3
C. -3/2
D. 3/2
Answer:
-2/3
Step-by-step explanation:
Perpendicular slopes have lines that multiply to -1
m* 3/2 = -1
Multiply each side by 2/3
m* 3/2 * 2/3 = -1 * 2/3
m = -2/3
The slope of the perpendicular line is -2/3
Answer:
The answer is B
I use an online graphing calculator called Desmos. You should check it out some time :)
1. Using the figure below, what is the measure of angle ABE?
Answer:
see below
Step-by-step explanation:
Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.
Answer:
The angle of ∠ABE is 40°.
Step-by-step explanation:
Given that ∠ABE and ∠CBD are opposite vertical angles so they have the same measure of angles.
A boy is playing ball in a garden surrounded by a wall 2.5 m high kicks the ball vertically up from a height of 0.4 m with a spee d of 14 m/s.For how long is the ball above the height of the wall .
Answer:
2.5 sec
Step-by-step explanation:
Height of wall = 2.5 m
initial speed of ball = 14 m/s
height from which ball is kicked = 0.4 m
we calculate the speed of the ball at the height that matches the wall first
height that matches wall = 2.5 - 0.4 = 2.1 m
using [tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as
where a = acceleration due to gravity = -9.81 m/s^2 (negative in upwards movement)
[tex]V^{2}[/tex] = [tex]14^{2}[/tex] + 2(-9.81 x 2.1)
[tex]V^{2}[/tex] = 196 - 41.202
[tex]V^{2}[/tex] = 154.8
v = [tex]\sqrt{154.8}[/tex] = 12.44 m/s
this is the velocity of the ball at exactly the point where the wall ends.
At the maximum height, the speed of the ball becomes zero
therefore,
u = 12.44 m/s
v = 0 m/s
a = -9.81 m/s^2
t = ?
using V = U + at
0 = 12.44 - 9.81t
-12.44 = -9.81
t = -12.44/-9.81
t = 1.27 s
the maximum height the ball reaches will be gotten with
[tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as
a = -9.81 m/s^2
0 = [tex]14^{2}[/tex] + 2(-9.81s)
0 = 196 - 19.62s
s = -196/-19.62 = 9.99 m. This the maximum height reached by the ball.
height from maximum height to height of ball = 9.99 - 2.5 = 7.49 m
we calculate for the time taken for the ball to travel down this height
a = 9.81 m/s^2 (positive in downwards movement)
u = 0
s = 7.49 m
using s = ut + [tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex]
7.49 = (0 x t) + [tex]\frac{1}{2}[/tex](9.81 x [tex]t^{2}[/tex] )
7.49 = 0 + 4.9[tex]t^{2}[/tex]
[tex]t^{2}[/tex] = 7.49/4.9 = 1.53
t = [tex]\sqrt{1.53}[/tex] = 1.23 sec
Total time spent above wall = 1.27 s + 1.23 s = 2.5 sec
Identify the transformed coordinates of the line segment A (4, 7) and B (9, 7)
when it is reflected across x-axis.
Answer: A (4, -7) B (9, -7)
Step-by-step explanation:
When it’s reflected over the x-axis, the y coordinates become negative but the x coordinates don’t change
x coordinates: 4, 9
y coordinates: 7, 7
Reflected over x-axis: (4, -7), (9, -7)
what is the midpoint of the segment shown below (-6,-2) (-1,5)
Answer:
(-3.5,2.5)
Step-by-step explanation:
[tex]m=\left( \dfrac{-6+-1}{2},\dfrac{-2+5}{2} \right)=\left( \dfrac{-7}{2},\dfrac{3}{2}\right)=\left( -3.5,2.5 \right)[/tex]
Hope this helps!
A factory makes car batteries. The probability that a battery is defective is 1/11. If 500 batteries are tested, about how many are expected to be defective?
Answer:
45.45 batteries
Step-by-step explanation:
The probability of any random battery being defective is 1 in 11, the number of expected defects in a population of 500 batteries is given by:
[tex]E= \frac{1}{11}*500\\E=45.45\ batteries[/tex]
45.45 batteries are expected to be defective.
Answer:
45
Step-by-step explanation:
NEED ANSWERS QUICK, I WILL GIVE BRAINLIEST 1.According to the following image, what is the length of
AB, 2. solve for X
Answer:
the length of ab is 8
x=3
Step-by-step explanation:
Sammy the school custodian is having a debate with Marci the museum curator. Sammy contends that the school is larger than the museum in terms of area. Marci contends the opposite. To settle their debate, they find satellite images of both buildings and juxtapose them on a single coordinate grid (shown below). The area of the school is \text{m}^2m 2 start text, m, end text, squared. Round the final answer to the nearest square meter. Do not round intermediate calculations. The area of the museum is \text{m}^2m 2 start text, m, end text, squared. Round the final answer to the nearest square meter. Do not round intermediate calculations. Who should win the debate?
Answer:
(Satellite images of both the buildings on a single coordinate grid are shown in the ATTACHMENT)
MARCI SHOULD WIN
AREA OF MUSEUM > AREA OF SCHOOL
Step-by-step explanation:
Find the area of School in Grid squares:
[tex]Width=\sqrt{1^2+3^2}\\ Width=\sqrt{10}\\Length=\sqrt{2^2+6^2}\\Length=\sqrt{40}\\Area=(Length)\cdot(Width)=\sqrt{40}\sqrt{10}=20\\[/tex]Area of School = 20 Grid squares*10*10
Area of School = 2000 m²
Find the area of Museum in Grid squares:
[tex]A=\pi{r^2}\\A=\pi(3^2)\\A=9\pi[/tex]
Area of Museum = 9п grid squares
Area of Museum = 2826 m²
AREA OF MUSEUM > AREA OF SCHOOL
Find the volume of a cone. Either enter an exact answer in terms of or use 3.14 for pi and round your final answer to the nearest hundredth. The radius is 2 the height is 9
Answer:
12 units³
Step-by-step explanation:
The required formula is V = (1/3)πr²h, where r is the radius and h is the height. Here we get:
V = (1/3)π(2)²(9) = (1/3)π(9)(4) = 12 units³
Lorrie biked d miles in 2 hours. She traveled at an average speed of more than 8 miles per hour. To determine the distance she may have traveled, she uses the inequality 2d > 8. She then determines that she biked at most 4 miles. Analyze Lorrie’s inequality and solution.
Answer:
[tex]\fbox{\begin{minipage}{14em}Lorrie's inequality is incorrect\end{minipage}}[/tex]
[tex]\fbox{\begin{minipage}{16em}The solution is: d is greater than 16\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Define the problem
Given:
Lorrie biked [tex]d[/tex] miles in time [tex]t = 2[/tex] hours.
Lorrie traveled at speed [tex]s[/tex] which is greater than [tex]8[/tex] (mile/hour).
Task:
Lorrie wants to determine the distance she may have traveled.
Key point:
The relation among the distance biked [tex]d[/tex], time [tex]t[/tex], and the speed [tex]s[/tex] is represented:
[tex]d = s[/tex] x [tex]t[/tex]
Step 2: Substitute given data into the main relation
with: [tex]s > 8[/tex] and [tex]t = 2[/tex]
=> [tex]d = s[/tex] x [tex]t[/tex]
=> [tex]d[/tex] > [tex]8[/tex] x [tex]2[/tex]
Simplify:
[tex]d > 16[/tex]
Step 3: Verify Lorrie's inequality
Lorrie uses the inequality [tex]2d > 8[/tex] to conclude that she traveled a distance [tex]d[/tex] at most [tex]4[/tex] miles, or [tex]d < 4[/tex].
Considering the correct answer is at step 2, in which, [tex]d > 16[/tex].
=> Lorrie's conclusion is incorrect.
Hope this helps!
:)
Answer:
Lorrie should have used division in the inequality instead of multiplication. She would have determined that she biked more than 16 miles instead of at most 4 miles.
Step-by-step explanation:
took the test
How many terms in
(3x^2-4x+2)-(2x^2-4x-5)
[tex]\text{Simplify:}\\\\(3x^2-4x+2)-(2x^2-4x-5)\\\\3x^2-4x+2-2x^2+4x+5\\\\x^2-4x+2+4x+5\\\\x^2+2+5\\\\x^2+7\\\\\boxed{\text{Two terms}}[/tex]
i need help pls asap!!
Answer:
No, Electric Pole is 40 ft
Step-by-step explanation:
tan 66.8° = [tex]\frac{x}{15}[/tex]
x = 35
but that is from the top of Danny, so you need to add 5 (his height)
Electric Pole is 40 ft
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold. What expression represents the profit?
A. 27x – 650
B. 27x + 390
C. 33x – 650
D. 33x + 390
Answer:
We need to subtract both equations. 2x3+30x-130-2x3+3x+520
that gives
30x-130+3x + 520
33x+390
D is answer
Answer:
D. 33x + 390
Step-by-step explanation:
Profit is the difference between revenue and cost so subtract the given polynomials:
2x³ + 30x – 130 - (2x³ – 3x – 520) = 2x³ + 30x – 130 -2x³+3x+520
combine like terms: 33x +390
Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}
Answer:
[tex]|p-q|-(|p|-|q|) = 20[/tex]
Step-by-step explanation:
First let's find the value of 'p-q':
[tex]p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\[/tex]
To find |p-q| (module of 'p-q'), we can use the formula:
[tex]|ai + bj| = \sqrt{a^{2}+b^{2}}[/tex]
Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'
So we have:
[tex]|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25[/tex]
Now, we need to find the module of p and the module of q:[tex]|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15[/tex]
[tex]|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10[/tex]
Then, evaluating |p-q|-{|p|-|q|}, we have:
[tex]|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20[/tex]
How many different angle measures the two parallel and one crossing line can make?
Answer:
The answer is 2 different angles, 53° and 127°.
Explanation:
As you subtract 180° from the given angle to find the other angle, you will get only 2 angles either 53° or 127°.
For each pair of congruent triangles, name the corresponding parts then complete the congruence statement
Answer:
First one
Step-by-step explanation:
Please answer correctly !!!!!! Will mark brianliest answer !!!!!!!!!!
Answer:
see below
Step-by-step explanation:
g(x) = (x² - 2 * 1/2 x) - 6
= (x - 0.5)² - 0.25 - 6
= 1(x - 0.5)² - 6.25
What is the area of Dawn’s porch
I will mark you brainliest!!!! Which statement is true for f(x)=6•(7)x?
Answer:
D
Step-by-step explanation:
A. The domain of this function is infinite, since x can be any number.
B. To find the y intercept, you need to set x to 0. 7^x will become 1, and 6*1=6, so the y intercept is (0,6).
C. This function is not always decreasing. For instance, when x is positive, it exponenentially increases.
D. As I said before, the y intercept of the function is (0,6), meaning that this statement is correct.
Hope this helps!
Which of the following are exterior angles? Check all that apply
Answer:
Options A, E
Step-by-step explanation:
If the angle doesn't lie inside this triangle, we can assume it is an exterior angle, provided it is between a side of this triangle and an adjacent side extended outward;
[tex]< 4 - Doesn't Lie In Triangle, - Exterior Angle,\\< 3 - Lies In Triangle, - Interior Angle,\\\\< 6 - Doesn't Lie In Triangle, Execption, - Neither Interior Nor Exterior,\\\\< 1 - Lies In Triangle - Interior Angle,\\< 5 - Doesn't Lie In Triangle - Exterior Angle\\\\< 2 - Lies in Triangle - Interior Angle[/tex]
Refer to Solution below;
A. Check!
E. Check!
Solve x* - 3x2 + 2 = 0 using substitution.
Answer:
x = -2/3 x=1
Step-by-step explanation:
We cant solve by substitution with just one equation
-3x^2 + x +2=0
Factor out a negative
-(3x^2 -x-2) = 0
Divide by negative 1
(3x^2 -x-2) = 0
Factor
(3x +2) (x-1)=0
Using the zero product property
3x+2 =0 x-1 =0
3x= -2 x=1
x = -2/3 x=1
Answer:
[tex]x = \frac{2}{3} \\ x = - 1[/tex]
Step-by-step explanation:
[tex]x - 3 {x}^{2} + 2 = 0 \\ - 3 {x}^{2} + x + 2 = 0 \\ - 3 {x}^{2} - 3x + 2x + 2 = 0 \\ - 3x(x + 1) + 2(x + 1) = 0 \\ ( - 3x + 2)(x + 1) = 0[/tex]
[tex] - 3x + 2 = 0 \\ - 3x = - 2 \\ \frac{ - 3x}{ - 3} = \frac{ - 2}{ - 3} \\ x = \frac{2}{3} [/tex]
[tex]x + 1 = 0 \\ x = - 1[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Viktoriya solved an equation as shown below.
5 (x - 2) -3 x = 2 (x - 3) - 16
5 x - 10 -3 x = 2 x -6 = 16
2 x - 10 = 2 x - 22.
-10 = -22.
She says that the equation has infinitely many solutions. Which describes Viktoriya’s error?
A.) Viktoriya used the distributive property incorrectly when she found the solution.
B.) Viktoriya should have said that the equation has no solution.
C.) Viktoriya should have continued to solve the equation to find that x = 0.
D.) Viktoriya should have said that the equation has one unique solution.
Answer:
B
Step-by-step explanation:
When you finish solving an equation and find the answer to be that two numbers are equal to each other when they are in fact, this means that the equation has no solutions because not values could make it true. Hpope this helps!
Answer:
I think it is B
Step-by-step explanation:
Help!
Suppose that a biologist is watching a trail known for wildebeest migration. During the first minute, 24 wildebeests migrated past the biologist on the trail. Each minute, the number of wildebeests per minute increased by 3.
How many wildebeests migrated past the biologist during the first 20 minutes?
Enter your answer in the box.
Step-by-step explanation:
first minute = 24 wildebeest
by 20 min = (20 × 3) + 24 = 84 wildebeest
You and your bestfriend are both on the swim team. You want to beat your bestfriend at the next swim meet so you decide to swim 15 minutes longer than she does on day at practice write an equation for the number of minutes you swim,y, when you bestfriend swims x number of minutes
Answer:
y = x + 15
Step-by-step explanation:
You swim 15 minutes more than a friend.The friend swims x minutes.
The amount of time you swim is 15 more than x.
Your time is y
Therefore y = x + 15 would be the equation.
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!
Answer:
n= -11/5+ 3/5m
Step-by-step explanation:
Answer:
g(n) = [tex]\frac{5n+11}{3}[/tex]
Step-by-step explanation:
Given
3m - 5n = 11
Rearrange making m the subject
Add 5n to both sides
3m = 5n + 11 ( divide both sides by 3 )
m = g(n) = [tex]\frac{5n+11}{3}[/tex]