Answer:
BC = 1/2 AC
2m angle DBC = m angle ABC
Angle ABC is bisected by ray BD
m∠WUT = 38°
Step-by-step explanation:
For both questions, we use the Angle Bisector Theorem.
Question 1:
We know since ray DB bisects ABC, AB and BC are congruent. They are split into 2 equal parts. Therefore, we know that if we take half of mAC, we should get either mBC or mAB. Therefore, the 1st statement is correct.
Since it is ray DB bisecting ABC, it created 2 right angles. If angle DBC was bisected, it would create 2 new angles that were 45° each, so the 2nd statement is incorrect.
We know that line ABC is equal to 180°. So if we add m∠ABD and m∠DBC (they both are 90°, as denoted in the picture) together, we should get 180°. Also, since they are congruent angles, one angle multiplied twice would also be 180°. Therefore, the 3rd statement is correct.
The Angle Bisector Theorem doesn't state that the bisector and one segment would be congruent. The length of the bisector could be anything and is not marked congruent to the other segments. Therefore, the 4th statement is incorrect.
Since we see that there is a bisector DB bisecting line ABC, creating 2 congruent segments and angles, we know that the 5th statement is correct.
Question 2:
The Angle Bisector Theorem states that a bisector that bisects 2 angles will become 2 smaller but congruent angles. So,
Step 1: Find x
4x + 6 = 6x - 10
6 = 2x - 10
16 = 2x
x = 8
Step 2: Find m∠WUT
m∠WUT = 6x - 10
m∠WUT = 6(8) - 10
m∠WUT = 48 - 10
m∠WUT = 38°
Write the following equation in slope-intercept form.
3x - 2y=5
Answer:
y = 3/2x -5/2
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
3x- 2y = 5
Solve for y
Subtract 3x from each side
3x -3x- 2y =-3x+ 5
-2y = -3x+5
Divide by -2
-2y/-2 = -3x/-2 +5/-2
y = 3/2x -5/2
-0.38 repeating written as a fraction is _____. -7/18 2/5 -15/36
Answer:
-7/18
Step-by-step explanation:
You know that 8/9 = 0.888.... repeating, so this value is effectively ...
[tex]-0.3\overline{8}=-\left(\dfrac{3}{10}+\dfrac{8}{90}\right)=-\dfrac{3(90)+10(8)}{(10)(90)}=-\dfrac{350}{900}=\boxed{-\dfrac{7}{18}}[/tex]
__
Of course, you can use your calculator to determine which answer choice has the given decimal equivalent.
In the matrix shown, which element is A1,2?
Answer:
B. 2
Step-by-step explanation:
a1,1=1
a1,2=2
a1,3=3
a2,1=4
a2,2=5
a2,3=6
a3,1=7
a3,2=8
a3,3=9
The expression a₁₋₂ represents the term present in the first raw and the second column which is 2. Then the correct option is B.
What is the matrix?A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.
The dimensions of a matrix are the product of the number of raw and the number of columns, which is known as a dimension of a matrix.
The matrix is given below.
[tex]\rm A = \begin{bmatrix}1 & 2 & 3\\ 4 & 5 & 6\\ 7 & 8 & 9\end{bmatrix}[/tex]
The 'i' represents the number of raw and 'j' represents the number of columns. Then the matrix is given as,
In the grid, a₁₋₂ addresses the term present in the primary crude and the second segment which is 2. Then, at that point, the right choice is B.
More about the matrix link is given below.
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who discovered America?
Answer:
Christopher Columbus
Step-by-step explanation:
According to the hystoriartors:
Christopher Columbus
Answer:
[tex]Christopher[/tex] [tex]Columbus[/tex] [tex]and[/tex] [tex]Leif Eriksson[/tex]
Step-by-step explanation:
[tex]we[/tex] [tex]celebrate[/tex] [tex]columbus[/tex] [tex]day[/tex]
Columbus Day is for Christopher Columbus, who had discovered America.
Leif Eriksson was the first one who found America. While most people think it might have been Columbus. In conclusion, Leif Eriksson discovered America (well, Columbus gets some credit too for finding America.)
The answer to your question: Leif Eriksson, or Columbus.
Leif Eriksson found America Half a millennium before Columbus.
So let’s just take it as... that they both were one of the ones to find America :)
Hope this helps!
What’s the Y-intercept of the parabola with the equation y= x^2 - 4x-10?
Answer:
-10
Step-by-step explanation:
Plug in 0 to the equation ('cause y-intercept is found when "x" =0), and u get -10.
The constant is typically the y-intercept.
You toss a 6-sided number cube and
a coin at the same time. How many
possible outcomes are there?
A 2
B 6
C 8
D 12
Answer:
12
Step-by-step explanation:
There are 6 outcomes for the cube and 2 outcomes for the coin
6*2 = 12
There are 12 different outcomes total
A 5 gram ball has a volume of 2.5 milliliters. What is the density of the ball?
Answer:
2gramm/millimeters
Step-by-step explanation:
From the question we were given 5
gram ball with a volume of 2.5 milliliters.
Then What is the density of the ball?
Density of a substance is the mass of the substance per it's unit volume
It can be expressed below as
Density= mass/ volume
Mass= 5gram
Volume= 2.5millimetre
Then substitute we have
Density=5/2.5
=2g/mm
Therefore, density of the ball is 2gramm/millimeters
fill in the blank with a possessive pronoun: don't take it this book is
Answer:
[tex]\large \boxed{\mathrm{mines}}[/tex]
Step-by-step explanation:
Possessive pronouns are pronouns that indicate relationship or ownership.
Don’t take it this book is mines.
please help :) Which expression is equal to 18−15÷3 ? A. 18 - 5 B. 3 divided by 3 C. 18 - 12
Answer:
A)
Step-by-step explanation:
18 - 15÷ 3 = 18 - 5
Answer:
A!
Step-by-step explanation:
This one is easy peasy using PEMDAS.
1)18-15dividedby3
2)18-(15divided by 3)
3) 18-5
TA DA
Ernie is interested in going to see other of the top-earning movies. Assuming he pays the average ticket cost, how much would it cost for him to go see movies B, D, and E?
Answer: The sum of the average ticket prices for movies B, D and E is $25.75.
Step-by-step explanation:
$7.57 + $8.46 + $9.72 = $25.75.
why do you need definitions to write proofs?
Answer:
BECAUSE YOU ARE TRYING TO BE CONVINCE THAT THE PROOF IS TRUE,AND IT IS EASIER TO JUSTIFY
Step-by-step explanation:
What is the value of a?
I need help. Can someone help me out!!! Please
Answer:
I'm not sure about this one but you can try a=40
Step-by-step explanation:
Answer:
a = 30°
Step-by-step explanation:
Sum of the angles in a triangle is 180°
32° + 2a - 17 + 180° - ( a + 45° ) = 180°
32 + 2a - 17 = a + 45
a = 45 + 17 - 32
a = 30°
Are these expressions equivalent? Explain why or why
not.
42 + 35
76+5)
Find m 15 points to correct answer!
Answer:
Hello!
Step-by-step explanation:
you know 3x = 4x-24
simplify
x=24
so thats x
now idk what you want me to find but
3x = 72
Ok, now I understand the question, mRST = 72
Q2. Allen can type 300 words in 3hours. How much word can he type in 5
hours?
3hour =300words
1 hour = 300/3
=100
5hours=100*5
=500 words
Classify the polynomial by the number of terms
-5x + 13
•monomial
•binomial
•trinomial
janine estimated that the square of 4.1 is approximately 16. Justify her estimate and then find the exact value
Answer:
16.81
Step-by-step explanation:
Given:
Number = 4.1
Find:
Square of the given number
Computation:
[4.1]²
⇒ [4.1] × [4.1]
⇒ 16.81
If Janine square 4.1 by assuming (round off) 4 as an integer number then gets 16, which means Janine's estimate would be considered appropriate.
Carlos Gonzales, the left fielder for the Colorado Rockies, a major league baseball team, played in 135 games in 2012 and hit 22 home runs. If he plays a total of 1075 games in his career, approximately how many home runs he will hit.
Answer: About 175 homeruns
Step-by-step explanation:
For every 135 games played, he hit 22 home runs, which makes an average of 1 home run every 6.136 games. Take that number and divide 1075 by it.
1075 / 6.136 = about 175.
Carlos Gonzales hits 175 runs in his total of 1075 games in his career.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Number of games played by Carlos Gonzales = 135.
And runs hit by Carlos Gonzales = 22 runs.
To find the runs hit by Carlos Gonzales in 1075 games,
Use ratio property,
In 135 games = 22 runs hit,
in 1 game = 22 / 135 runs hit,
In 1075 games = (22/135)x1075 = 175.18 = 175 (approx)
The runs hit by Carlos Gonzales in 1075 games is 175.
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It cost 13.50 to take a girl out for the evening. Sixty percent of this was for the theater tickets.what was the cost for each ticket
Answer:
Each ticket cost 4.05
Step-by-step explanation:
Start by finding what is 60% of 13.50 = 0.6 * 13.50 = 8.10
since this is what both tickets cost, then one ticket for the theater was half of this value, that is: 8.10 / 2 = 4.05
What are the coordinates of the point 3/4 of the way for A to B
Answer:
Coordinates of the point P are [tex](-\frac{29}{7},-1)[/tex]
Step-by-step explanation:
If a point P(x, y) divides the line AB into the ratio of m : n, coordinates of this point will be,
x = [tex]\frac{mx_2+nx_1}{m+n}[/tex]
y = [tex]\frac{my_2+ny_1}{m+n}[/tex]
In the given question m : n = 3 : 4
And the coordinates of A and B are (-5, -4) and (-3, 3) respectively.
x = [tex]\frac{3(-3)+4(-5)}{3+4}[/tex]
x = -[tex]\frac{29}{7}[/tex]
y = [tex]\frac{3(3)+4(-4)}{3+4}[/tex]
y = -1
Therefore, coordinates of the given point P are [tex](\frac{29}{7},-1)[/tex].
Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents h, the number of hours she worked on Monday? 15 h + 9 less-than-or-equal-to 110 15 h + 9 greater-than-or-equal-to 110 9 h + 15 greater-than-or-equal-to 110 9 h + 15 less-than 110
Answer:
The answer is 15 h + 9 greater-than-or-equal-to 110
Step-by-step explanation:
For us to represent the inequality of the equation for the number of hours worked. let us identify the parameter involved the.
daily earnings in tips = $15
normal daily pay=>$110
number of hours worked is represented by h
Hence the equation for the pay is
15 h + 9 >=110
Note: we use the >= symbol in the equation because $110 is the minimum amount Serena will always receive any amount she must receive must always be greater than $110
Answer:
c just took the test 100 % sure
Step-by-step explanation:
Evaluate.
3/8 -(-1/12)
okay so first..
eat a cookie and then you will be come smart
then...
Learn to use a calculator
Then...
Give up and realize that u too stoopid and cant find the answer
Finally...
Gimme da Brainlyest
UwU
oh btw..
If u r still reading this...
the answer is...
知りません
try translating it lol
hint: its da bootifull language of Anime hehe...
Answer:
[tex] \boxed{ \boxed{ \bold{ \sf{ \frac{11}{24} }}}}[/tex]Step-by-step explanation:
[tex] \sf{ \frac{3}{8} - ( - \frac{1}{12} )}[/tex]
We know that , [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]
⇒[tex] \sf{ \frac{3}{8} + \frac{1}{12} }[/tex]
Take the L.C.M ( Least Common Multiple )
L.C.M of 8 and 12 = 24
⇒[tex] \sf{ \frac{3 \times 3 + 1 \times 2}{24} }[/tex] { 24 ÷ 8 = 3 , ∴ 3 × 3 and 24 ÷ 12 = 2 ,∴ 1 × 2 }
Multiply the numbers
⇒[tex] \sf{ \frac{9 + 2}{24} }[/tex]
Add the numbers
⇒[tex] \sf{ \frac{11}{24} }[/tex]
Hope I helped !
Best regards!
A scientist measures the change in the temperature of a chemical solution at the start of the experiment, the solution is at a temperature of -14.96 C the temperature increases 2.9C each hour what is the temperature of the solution after 3 hours rounded to the nearest whole degree?
Answer:
The temperature of the solution after 3 hours rounded to the nearest whole degree is -6 C
Step-by-step explanation:
From the question, the temperature of the chemical solution at the start of the experiment is -14.96 C.
Now, if the temperature increases by 2.9 C each hour,
Then, after 3 hours, the temperature of the chemical solution would have increased by
2.9 C/h × 3 h
8.7 C
Hence, the temperature of the chemical solution would have increased by 8.7 C after 3 hours.
The temperature of the chemical solution after 3 hours will be
-14.96 C + 8.7 C
= -6.26 C
≅ -6 C (to the nearest whole degree)
3 less than g is greater than or equal to 17
Answer:
Step-by-step explanation:
g - 3 >= 17
g >= 20
The inequality for the given statement 3 less than g is greater than or equal to 17 can be represented as g - 3 ≥ 17.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
The given statement is,
3 less than g is greater than or equal to 17.
To write inequality for the Statement,
Let g is variable,
3 less than g = g - 3
g -3 is greater than or equal to 17,
Implies that,
g - 3 ≥ 17.
The required inequality is g - 3 ≥ 17.
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subtract -11 from -7
Answer:
[tex]\Huge \boxed{4}[/tex]
Step-by-step explanation:
-11 is subtracted from -7.
Subtracting a negative number from another number means there will be a minus sign followed by another negative sign from that negative number.
[tex]\Rightarrow -7-(-11)[/tex]
Distribute negative sign.
[tex]\Rightarrow -7+11[/tex]
Adding.
[tex]\Rightarrow 4[/tex]
Find the ratio in which y-axis divides the line segment joining the points A(5, -6), and B (-1, -4). Also find the coordinates of the point of division.
Answer:
Something like this
Step-by-step explanation:
distance √(-1 - 5)² + (-6 - -4)² = √36 + 4 = √40 = 6.32
slope = 2/-6 = -1/3
distance (-1,-4) to (0, -4.63)
√(-1 - 0)² + (-4 - -4.63...)² = √1.4 = 1.18
6.32 - 1.18 = 5.14
1.18 : 5.14
Answer:
ratio 5:1
coordinates (0,-13/3)
Step-by-step explanation:
let any point on y-axis (0,y) divides the join of A(5,-6) and B(-1,-4) in the ratio k:1
[tex]0=\frac{-1(k)+1(5)}{k+1} \\or~0=-k+5\\or~ k=5\\\therefore ~y-axis~ divides ~A,B~in~the~ratio~5:1\\y=\frac{5(-4)+1(-6)}{5+1} =\frac{-26}{6} =-\frac{13}{3}[/tex]
so coordinates of point of intersection are (0,-13/3)
Which of the following statements is not true concerning the equation x^2 - c = 0 for c > 0 A. A quadratic system in this form can always be solved by factoring. B. This equation is not considered to be a quadratic equation because it is not in the form ax^2 + bx + c = 0 C. The left-hand side of this equation is called a difference of two squares D. A quadratic equation in this form can always be solved using the square root property.
Answer:
[tex]\Large \boxed{\mathrm{Option \ B}}[/tex]
Step-by-step explanation:
The equation is in the form ax² + bx + c = 0.
x² - c = 0
1x² + 0x + -c = 0
Where : a = 1, b = 0, and c = -c
c > 0
The quadratic equation can always be factored if c is a square number
c can be a square number and the quadratic equation can be solved by using the difference of two squares formula.
x is squared so it can be solved by isolating x on one side by adding c to both sides and using the square root property.
Answer:
[tex]\huge\boxed{Option \ B}[/tex]
Step-by-step explanation:
[tex]x^2 - c = 0[/tex]
This equation is in a quadratic form since:
=> It has the highest power of x as 2. Those equations are quadratic equations in which the highest power of x is 2.
=> However, Those quadratic equation in which b = 0 , and they are like either [tex]ax^2 + c = 0 \ OR \ ax^2-c = 0[/tex], They are called pure quadratic equation.
So, [tex]x^2 - c = 0[/tex] is a quadratic equation.
PLEASE HELP WILL MARK BRAINLIEST! Find the value of x. A. 40 B. 95 C. 45 D. 22.5
Answer:
D. 22.5
Step-by-step explanation:
By the property of intersecting tangent and secant outside of the circle, we have:
x° = 1/2[(4x+5)° - 50°]
2x° = [(4x+5)° - 50°]
2x° = (4x-45)°
2x = 4x - 45
45 = 4x - 2x
45 = 2x
x = 45/2
x = 22.5
NEED HELP ASAP
algebra 2
Answer:
x = sqrt(17)
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2
Let the unknown side be x
8^2 + x^2 = 9^2
64 + x^2 = 81
Subtract 64 from each side
x^2 = 81-64
x^2 =17
Taking the square root of each side
x = sqrt(17)
Answer:
x = √17
Step-by-step explanation:
Your question have a right triangle.
So, we could use the Pythagorean Theorem.
Pythagorean Theorem is a² + b² = c².
So, 8² + n² = 9².
8² is 64, and 9² is 81.
So, 'n' is 81 - 64.
Let's see... 81 - 64 is 17.
So, It is √17.
Because when you use the Pythagorean Theorem, it is 8² + (√17)² = 9².
Otherwise, 64 + (√17)² = 81.
And, √17 is 4.12 when rounding to a hundredth.
Hope it helps!
Bye!
Grace needs 16 ribbons that are each 13.2 inches long for the craft she is making. How much ribbon does Grace need in all?
Answer:
211.2 inches of ribbon
Step-by-step explanation:
She needs 16 pieces of 13.2 inch ribbons.
That means that Grace needs:
16*13.2
=211.2 inches of ribbon.
Hope this helps!