Answer:
See Explanation
Step-by-step explanation:
The question has unclear information.
So, I'll answer from scratch
Given
ABC = Right angled triangle
DB bisects ABC
Required
Prove that CBD = 45
From the question, we have that:
ABC is right angled at B
So, when DB bisects ABC, it means that DB divides ABC into two equal angles.
i.e.
[tex]CBD = ABD[/tex]
and
[tex]CBD + ABD = 90[/tex]
Substitute CBD for ABD in [tex]CBD + ABD = 90[/tex]
[tex]CBD + CBD = 90[/tex]
[tex]2CBD = 90[/tex]
Divide both sides by 2
[tex]\frac{2CBD}{2} = \frac{90}{2}[/tex]
[tex]CBD = \frac{90}{2}[/tex]
[tex]CBD = 45[/tex]
Hence, it is proved that [tex]CBD = 45[/tex]
Follow the above explanation and use it to answer your question properly
At a football stadium, 4% of the fans in attendance were teenagers. If there were 120 teenagers at the football stadium, what was the total number of people at the stadium?
Subtract and reduce: 2 2/3 - 1 1/2
Step-by-step explanation:
I used a calculator but the answer is 1 1/6
Write a function g whose graph represents a reflection in the x-axis of the graph of f(x)=1/2x−3.
The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number. What is the original number?
Answer:
39
Step-by-step explanation:
let the 2 digit number be ab = 10a + b ( considering place value )
The reversed 2 digit number is ba = 10b + a
The sum of the 2 digit number is
a + b = 12 ( subtract b from both sides )
a = 12 - b → (1)
Expressing as an equation
ba = ab + 54 , that is
10b + a = 10a + b + 54
Substitute a = 12 - b into the equation
10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides
9b + 12 = 120 - 10b + b + 54
9b + 12 = - 9b + 174 ( add 9b to both sides )
18b + 12 = 174 ( subtract 12 from both sides )
18b = 162 ( divide both sides by 18 )
b = 9
Substitute b = 9 into (1)
a = 12 - 9 = 3
Thus
the original 2 digit number = ab = 39
The reversed 2 digit number = ba = 93
which is 54 more than the original number
-12.48-(-2.99)-5.62
-353.92-(-283.56)-131.29
831 106 (92)
(70 points.)
Answer:
-12164.91462:)
Step-by-step explanation:
Solution of the three expressions;
1). -12.48-(-2.99)-5.62 = -15.11
2). -353.92-(-283.56)-131.29 = -201.65
3). 831 / 106 (92) = 0.0852 (rounded to four decimal places)
What is PEMDAS?When resolving expressions containing several operations, the procedure to follow is denoted by the acronym PEMDAS. "Parenthesis," "exponents," "multiplication," "division," "addition," and "subtraction" are all represented by the letters P through E.
1). -12.48-(-2.99)-5.62
= -12.48 + 2.99 - 5.62 (double negative becomes positive)
= -15.11
Therefore, -12.48-(-2.99)-5.62 equals -15.11.
2). -353.92-(-283.56)-131.29
= -353.92 + 283.56 - 131.29 (double negative becomes positive)
= -70.36 - 131.29
= -201.65
Therefore, -353.92-(-283.56)-131.29 equals -201.65.
3). 831 / 106 (92)
This expression involves multiplication and division, and the order of operations (PEMDAS) tells us to perform the multiplication before the division. So we have:
= 831 / (106 x 92)
= 831 / 9736
= 0.0852 (rounded to four decimal places)
Therefore, 831 / 106 (92) equals 0.0852.
To learn more about the PEMDAS;
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The complete question:
Find the solution to the expressions given below;
1). -12.48-(-2.99)-5.62
2). -353.92-(-283.56)-131.29
3). 831 / 106 (92)
From points A and B, the distance between which is 1020 mi, two trains left simultaneously towards each other. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours the trains had
Complete question :
From points A and B, the distance between which is 1020 mi, two trains left simultaneously towards each other. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours the trains had not met yet and were 170 mi apart. Find the speed of the trains.
Answer:
Train A = 80 miles per hour
Train B = 90 miles per hour
Step-by-step explanation:
Given that :
Distance between A and B = 1020
Let the speed of A = x
Speed of B = x + 10
Since they both left simultaneously;
Distance traveled after 5 hours will be :
Distance = speed * time
A = x * 5 = 5x
B = (x + 10) * 5 = 5x + 50
After the distance traveled by each of A and B, they are still 170 miles apart
Hence, distance covered after 5 hours ;
Total miles - miles left
1020 - 170 = 850 miles
Hence,
5x + 5x + 50 = 850
10x = 850 - 50
10x = 800
x = 80
Train A = 80 miles per hour
Train B = 80 + 10 = 90 miles per hour
Find the solutions using the Quadratic Formula.
x2 – 5x-14 = 0
Which statement would be included in the proof of why Measure of angle C + measure of angle G + measure of angle H = 180 degrees.?
A. Angles F and H are congruent.
B. Angles A and G are congruent.
C. Angles A and H are congruent.
D. Angles E and C are congruent.
I think c
Step-by-step explanation:
I did it a min ago
Answer:
ur answer would be C. Angles A and H are congruent.
Step-by-step explanation:
right on edge 2021 for math
Which graph shows y = 2x – 12?
Answer:
(0,6) (0,-12)
Step-by-step explanation:
The equation y = 2x - 12 represents a linear function with a slope of 2 and a y-intercept of -12.
The equation y = 2x - 12 represents a linear function with a slope of 2 and a y-intercept of -12. This means that the graph will have a positive slope, indicating a upward trend, and it will intersect the y-axis at the point (0, -12).
To sketch the graph, you can start by plotting the y-intercept at (0, -12). From there, use the slope of 2 to determine additional points by moving 1 unit horizontally (to the right) and 2 units vertically (upward) to plot another point. Repeat this process to plot more points, then connect them to form a straight line.
Keep in mind that a visual representation is essential for accurately identifying the specific graph of y = 2x - 12.
Learn more about graph here
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The varsity club wants to make 1000 dollars for a NYC trip. They are selling t-shirts for 9.00 dollars each. The fee for printing lancers logos is 30 dollars if the number of t-shirts is represented by x write and solve an inequality to find the number of t-shirts they have to sell in order to reach their goal
Answer:
26
Step-by-step explanation:
Given that:
Target amount for NYC trip = $1000
Cost of T - shirt = $9 each
Logo printing fee = $30
Number of T - shirts = x
Number of T - shirts to be sold in other to reach their goal :
[(Cost of logo + Cost of T shirt) * number of shirts sold] ≥ target amount
[($30 + $9) * x] ≥ $1000
$39x ≥ 1000
x ≥ 1000/ 39
x ≥ 25.64
Hence, they have to sell at least 26 t shirts with logo printed to raise $1000
Order the numbers from least to greatest.
-0.5, 3, -3, 1.2
The order of the numbers from least to greatest is (blank)
Answer:
The order of the numbers from least to greatest is -3, -0.5, 1.2, 3.
Answer:
-3, -0.5, 1.2, 3
for the function f(x) = 2(8)^x evaluate f(2)
Answer:
f(2)=128
Step-by-step explanation:
f(x) = 2(8)^x evaluate f(2)
f(2)= 2(8)^2
f(2)=2(64)
f(2)=128
Given
mAOC is a straight angle.
mBOC = 6x + 29°
mAOB = 3x + 124°
Find mBOC:
Write an equation in standard form of the line that passes through the given point and the given slope. (-9, -4); m = -1/3
First, we must determine b using slope-intercept form*, the given point, and the given slope.
[tex]-4 = -\frac{1}{3}(-9) + b\\\\-4 = -3 + b\\\\-1 = b[/tex]
Second, we need to set up the equation of the line in slope-intercept form.
[tex]y = -\frac{1}{3}x - 1[/tex]
Third, we convert the above equation to STANDARD FORM**.
[tex]y = -\frac{1}{3}x - 1\\\\\frac{1}{3}x + y = -1[/tex]
We now have our equation: [tex]\frac{1}{3}x - y = -1[/tex]
*Slope-intercept form: y = mx + b
**Standard form: ax + by = c
I think it’s b or c but not sure what it is 100 percent. The options are in the picture there is 4 and it asks which it can not be
9514 1404 393
Answer:
d. tan(16°) = x/6
Step-by-step explanation:
You can use logic to figure this out, even if you don't know much trigonometry.
Choices A and D are contradictory. One of them must be consistent with choice C. Choices C and D are also contradictory, so choices A and C must be in agreement and part of the set of statements that CAN be used.
Choice D is the statement that CANNOT be used to find x.
Can someone help me
Answer:
x = 15°
Step-by-step explanation:
We know that a triangle totals up to 180° when you add together all the angles. Using that, we can then add up the two angles we already know and solve for x.
106° + 59° = 165°
180° - 165° = 15°
Whar is an example of a transversal?
Answer: Lightwave forms the most important example of a transverse wave. In case of the light waves, particles travel perpendicular to the direction of the waves. It is the visible spectrum that is visible to the human eye and is responsible for the sense of sight.
Step-by-step explanation:
Answer:
♡ hi fairy ♡
An example of a transversal is line that intersects a system of lines.
hope I could help you. have a great day!
-madeline/madi
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧
Step-by-step explanation:
Please help me I will give you brainleist if I figure out how
What is the value of 6k^-4 if k = -1?
A. -24
B. 1
C. 6
D. 24
Answer: 6
Step-by-step explanation:
[tex]6\left(-1\right)^{-4}[/tex]
[tex]6\cdot \frac{1}{\left(-1\right)^4}[/tex]
[tex]6\cdot \:1[/tex]
[tex]6[/tex]
Answer:
C, the answer is 6.
Step-by-step explanation:
If you substitute -1 into the variable "k", it would look like this equation, 6(-1)[tex]6(-1)^{-4}[/tex], if you then raise -1 to the power of -4, you would then get the value 1. Thus, 6 * 1 equals 6. C would be the correct answer.
The level of water in a draining pool can be modeled with the function d(t)= 12 (.72) ^ t, where d is the depth of water, measured in feet, and t is the amount of time it’s been draining, measure in days.
Calculate the average rate of change for 0 greater or equal to t and 4 is greater or equal to t.
Answer:
[tex]\approx[/tex] -2.195
Step-by-step explanation:
Given the function:
[tex]d(t)= 12 (.72) ^ t[/tex]
[tex]d[/tex] is the depth of water in feet and
[tex]t[/tex] is the amount of time
To find:
The average rate of change for [tex]t[/tex] in the interval [0, 4].
Solution:
The required rate of change in the time interval [0, 4] can be represented as:
Change in the function over the interval [0, 4] and the change in the interval.
OR
[tex]\Rightarrow \dfrac{d(4)-d(0)}{4-0}\\\Rightarrow \dfrac{12 (.72) ^ 4-12 (.72) ^ 0}{4-0}\\\Rightarrow \dfrac{3.22-12 \times 1}{4}\\\Rightarrow \dfrac{3.22-12}{4}\\\Rightarrow \dfrac{-8.78}{4}\\\Rightarrow \bold{-2.195}[/tex]
Will give BRAINLIEST The two points and (–3, –2) and (4, 8) are part of a line with a slope of:
Answer:
slope of 10/1 or simplified to 10
Step-by-step explanation:
Answer:
slope is 10/7
Step-by-step explanation:
use the formula or plot the points on a graph to get the slope is 10/7
I need help with the last part
Answer:
ok gimmie a min i will put answr
Step-by-step explanation:
HELP ASAP. ABC is an isosceles triangle.
Answer:
please make it more clear
Step-by-step explanation:
what you are asking
Help me solve this problem please
Answer:
y= 2/3x+6
Step-by-step explanation:
if we multiply we can get the answer
Need answer ASAP!!!
Will make brainliest!!
which number best represents the slope of the graphed line?
Answer:( -10,10), (-,+)
Step-by-step explanation:
Awnser:
-2
Step by Step:
To find a slope, you need to find 2 points. You can't have a line with only 1 point.
The equation for a slope is: y2-y1/x2-x1.
It doesn't matter which order you put them in.
I used (-4,1) and (-6,2).
So: 2-1/-6-(-4)
1/-6+4
1/-2
-2
Frank earns $8 per hour. Madison
earns $7.50 per hour. Frank started working after Madison had already earned $300. If these rates continue, will Frank’s earnings ever equal Madison’s earnings? If so, when?
Answer:
yes, and at 600 hours they are equal and at 601 Frank passes her.
Step-by-step explanation:
since frank has a higher salery/slope and Madison has a lower salary slope meaning even though Madison started out with more Frank will eventually pass her.
First, you gotta find the difference slope 8-7.5 so .5 then find the difference in starting points 300 and zero. then multiply the difference as a positive(make it reversed 1/2 to 2/1 ) so 2 times 300 equals 600.
Answer:
They will and it will be by the 600th hour. The equation is frank makes 8$ dollars per hour for n hours. That (at some point) is the same as what maddi makes, 7.50 per hour for n hours plus 300... sooo
8n=7.50n+300
Sub in n for 600 and it should cancel everything out and work :)
if you want me to re-explain let me know.
Dee spends $0.25, $0.30, $0.10 and $0.04.
How much $ does she spend in all?
Answer:
$0.69
Step-by-step explanation:
Add them all up.
Answer:
$0.64
Step-by-step explanation:
hope this helped :-)
HELP ASAP PLS BRAINLIEST
Answer:
for the 10 column it is $150.00 the next column is 15 and for 200 it is $250.00
Step-by-step explanation:
__7. Cooling Tea: A freshly made cup of tea is served at a temperature of about 180°F. The tea
cools rapidly at first, and then slows down gradually as it approaches room temperature.
Independent Quantity:
Dependent Quantity:
74 is a rational number but not a whole number. 74 is a whole number but not a rational number. 74 is a whole number and a rational number. 74 is not a rational number, and it is not a whole number.
Answer:
Option C: 74 is both a whole number and a rational number.
Step-by-step explanation:
A rational number is defined as a number which can be written as a fraction of two integers, an integer, a whole number and a natural number. The integer could be positive or negative.
Examples include -1/4, 1/2, 12
So it's obvious that the given number of 74 is a rational number.
Now, a whole number is simply a non - negative integer.
An integer is a number that is not a fraction.
Thus, examples of whole numbers are 0, 1, 2, 3, 4...
So 74 is clearly a whole number.
Therefore, we can conclude that 74 is both a whole number and a rational number.