The measure of the angle of the triangle ∠BCD = 13°
Given data ,
Let the triangle be represented as ΔBCD
Now , in triangle BCD, we are given the following angle measurements:
angle CDE = (9x - 12)°
angle BCD = (2x + 3)°
angle DBC = (3x + 5)°
From the exterior angle theorem , we get
∠CDE = ∠BCD + ∠DBC
On simplifying , we get
9x - 12 = 2x + 3 + 3x + 5
9x - 12 = 5x + 8
Subtracting 5x on both sides and adding 12 , we get
4x = 20
Divide by 4 on both sides , we get
x = 5
So , the measure of angle ∠BCD = 2(5) + 3
m∠BCD = 13°
Hence , the angle is m∠BCD = 13°
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The complete question is attached below :
In triangle BCD , BD is extended through point D to point E , ∠CDE = ( 9x - 12 )° , ∠BCD = ( 2x + 3 )°, and ∠DBC = ( 3x + 5 )°, find ∠BCD
Translate the sentence into an inequality:
“The difference of y and 9 is greater than or equal to 29.”
(will mark brainliest)
I NEED HELP PLEASE PLEASE
Answer:
length= 17.5
width=11.5
( I worked this out myself but I don't know if its right tho)
below the pink line is the answer, make sure to explain why
Answer:
\(-5\)Explanation:
Here, we want to find the limit shown
To do this, we start by factorizing the numerator
Thus, we have that as:
\(\begin{gathered} 3t^2-7t\text{ + 2 = 3t}^2-6t-t+2 \\ =\text{ 3t\lparen t-2\rparen-1\lparen t-2\rparen = \lparen3t-1\rparen\lparen t-2\rparen} \end{gathered}\)Now, from here, we have the original fraction reduced to the following:
\(\begin{gathered} \frac{3t^2-7t+2}{2-t}\text{ = }\frac{(3t-1)(t-2)}{2-t}\text{ = }\frac{-(2-t)(3t-1)}{2-t} \\ \\ =\text{ -\lparen3t-1\rparen = 1-3t} \end{gathered}\)Finally, we find the limit as follows:
\(\lim_{t\to2}\text{ }\frac{3t^2-7t+2}{t-2}\text{ = }\lim_{t\to2}\text{ 1-3t = 1-3\lparen2\rparen = 1-6 = -5}\)Multiply with decimal numbers:
6.0 x 74 = ? 4.5 x 80 = ? 5.1 x 78 = ? 1.9 x 70 = ?
The complete process of multiplication please :)
6.0x74=444
4.5x80=360
5.1 x 78 = 397.8
1.9 x 70=133
Are the graphs of y= 1/3x-4 and y-2=-3(x-4) parallel, perpendicular, or neither
Answer:
They are perpendicular
Step-by-step explanation:
the first graph has 1/3 as its slope.
The inverse of 1/3 is the negative reciprocal, or -3/1, which is the same as -3.
Thus, as the second graph’s slope is -3, it is the inverse of the first graphs slope, which means the two graphs represent lines which are perpendicular to each other.
PLSS HELP OOOOFF
How many groups are in 2/3 are in 3/5?
A.9/15
B.9/10
C.1 1/3
D.1 1/9
Answer:
The answer is B: 9/10
Step-by-step explanation:
You have to divide.
3/5 ÷ 2/3 =
3/5 × 3/2= 9/10
After subtracting 20% of a number from a number we get 12975.what was the number?
Answer:
Step-by-step explanation:
d
what is the cos 30°?
temperature. ?????? don't understand
is 3 square root / 2
a summer soccer cam ordered a total of 84 soccer balls and t-shirts for the season. Soccer balls cost $25 each and t-shirts cost $9.50 each. if they paid $1,046 total for the purchase, how many of each item was ordered?
The Number of Soccer Balls is 16 and the Number of T-Shirts is 68
What is Linear Equation in Two Variables?
A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Solution:
Let,
Number of Soccer Balls = x
Number of T-Shirts = y
Equation 1:
x + y = 84 -----------(i)
Equation 2:
25x + 9.5y = 1046 ----------(ii)
Multiplying Equation 1 by 25
25x + 25y = 2100 ---------(iii)
Substracting Equation2 from Equation 1
15.5y = 1054
y = 68
So, x = 16
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Natalie finishes piano practice at 2:45 p.m. after practicing for 37 minutes. What time did Natalie’s practice start?
Answer:2:08 pm
Step-by-step explanation:
Answer:
2:18
Step-by-step explanation:
45-37=18 so the time is 2:18
URGERNT!!!PLS AT LEAST TAKE A LOOK!!! SHARE YO SMARTNESSS!! AND BLESS YOUR GRADES!
Which sign explains the relationship between m∠1 and m∠2 in the diagram?
A) not equal to
B) >
C) <
D) =
Answer:
Dear Laura Ramirez
Answer to your query is provided below
Option D is correct.
Reason - Because of Hinge and Converse of Hinge theorem
You have a 5-question, true-false quiz. What is the probability that you choose each answer at random and get 4 of the questions correct?
Answer:
There is a 0.15625 = 15.625% probability that you choose each answer at random and get 4 of the questions correct.
The formula for the probability of x successes is:
The parameters are given by:
n is the number of trials of the experiment.
p is the probability of success on a single trial of the experiment.
For this problem, we have that:
There are 5 questions, hence n = 5.
Each question has two options, true or false, p = 1/2.
The probability of 4 correct is given by P(X = 4)
P(X = 4) = 5 x (0.5)^4 x (0.5) = 0.15625.
0.15625 = 15.625% probability that you choose each answer at random and get 4 of the questions correct.
Your Welcome :)
i need help with this problem
Answer:
C
Step-by-step explanation:
in trangle NET the angles are 81 and 34 so the other angle must be 180-81-34=65, the other triangle has the same measurments for angles 81-34-65 so the triangles are similar because of AA similarity theorem
ΔHMJ~ΔNET by AA similarity
my bowl of easter candy has colorful foil-wrapped chocolate eggs. there are 5 gold, 7 blue, and 10 pink. when callie brooke raids the candy bowl, what is the probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil? give your answer as a percent (including the percent sign) rounded to the nearest 0.01%.
If my bowl of easter candy has colorful foil-wrapped chocolate eggs. there are 5 gold, 7 blue, and 10 pink. The probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil is 0.45.
How to find the probability?Total color = 5 gold + 7 blue + 10 pink
Total color = 22
Now let find the probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil
Probability (pink) = 10/22
Probability (pink) = 0.45
Therefore the probability of Callie Brooke getting a pink foil-wrapped chocolate egg is 10/22, or approximately 0.45.
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You invest some money made a profit of $75. Your profit was 10% of your investment. How much did you invest originally?
Answer:
85
Step-by-step explanation:
may be thats the aNswer
Help with the following equation 8x²-6x-5=x
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
Help me please and show work and this is geometry
Answer:
-433
Step-by-step explanation:
Step 1: Define
-5(4 + 9s) - 7(4q - 6)
s = 7
q = 5
Step 2: Simplify expression
Distribute: -20 - 45s - 28q + 42
Combine like terms: -45s - 28q + 22
Step 3: Substitute
-45(7) - 28(5) + 22
Step 4: Evaluate
-315 - 140 + 22
-445 + 22
-433
HELP ITS DUE TMR PLEASE
Answer:
im pretty sure the answer is (-5,-7)?
To find the quotient of 8➗1/3, multiply 8 by
o 1/8
o 1/3
o 3
o 8
Given the figure at the photo, which angle represents angle 2? CHOOSE ALL THAT APPLY!
Answer:
a
Step-by-step explanation:
A state university is interested in where its students come from. They survey 300 of its students to find out if they are in-state, out-of-state, or foreign students. Match the vocabulary word with its corresponding example.
In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.
To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.
Here are the vocabulary words and their corresponding examples:
Vocabulary Word: In-state
Example: A student who is a resident of the same state where the university is located.
They pay lower tuition fees compared to out-of-state or foreign students.
Vocabulary Word: Out-of-state
Example: A student who is not a resident of the state where the university is located.
They typically pay higher tuition fees compared to in-state students.
Vocabulary Word: Foreign
Example: A student who is from a country other than the country where the university is located.
They are international students who may have different visa requirements and tuition fees.
To match these vocabulary words with their corresponding examples:
In-state: A student from the same state as the university, paying lower tuition fees.
Out-of-state: A student from a different state than the university, paying higher tuition fees.
Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.
By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.
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Which parent functions have a range of (-infinity , infinity) select all that apply
A. a parent even-degree power function
B. a parent odd-degree power function
C. a parent even-degree root function
D. a parent odd-degree root function
E. a parent exponential function with a base greater than 1
F. a parent exponential function with a base between 0 and 1
G. a parent logarithmic function with a base greater than 1
H. a parent logarithmic function with a base between 0 and 1
Answer:b,d,g,h
Step-by-step explanation:
A function assigns the value of each element of one set to the other specific element of another set. The correct option is B, D, G, and H.
What are the domain and range of a function?A function assigns the value of each element of one set to the other specific element of another set.
The domain is the set of values for which the given function is defined.The range is the set of all values which the given function can output.From the given functions the function that has a range of (-∞, ∞) can be found by plotting the graph. Therefore, the parent function that has a range of (-∞, ∞) are:
B. a parent odd-degree power function
D. a parent odd-degree root function
G. a parent logarithmic function with a base greater than 1
H. a parent logarithmic function with a base between 0 and 1
Hence, the correct option is B, D, G, and H.
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A cylinder has a radius of 4 millimeters. Its volume is 200.96 cubic millimeters. What is the height of the cylinder?
Answer:
3.999 millimeters.
Step-by-step explanation:
To find the height of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).
200.96 = π(4²)h
200.96 = 16πh
To solve for h, we can divide both sides of the equation by 16π:
200.96 / (16π) = h
Using a calculator, we can calculate the approximate value of h:
h ≈ 200.96 / (16 × 3.14159)
h ≈ 3.999
Therefore, the height of the cylinder is approximately 3.999 millimeters.
The shape of a sample distribution is approximately
Answer:
A theorem that explains the shape of a sampling distribution of sample means. It states that if the sample size is large (generally n ≥ 30), and the standard deviation of the population is finite, then the distribution of sample means will be approximately normal.
Step-by-step explanation:
can I have brainliest
A single filer had a taxable income of $90,725. Base on table, what is is the tax?
The amount that the taxpayer is owing in taxes is $2,691.05.
We have,
Income tax payable refers to a business organization's tax liability to the government in the jurisdiction in which it operates. The amount of liability will be determined by the company's profitability over a given time period and the applicable tax rates. Tax payable is considered a current liability rather than a long-term liability because it must be settled within the next 12 months.
Based on the table, we are using the tax rate of 15% for the taxable income of $11,757.
The tax payable will equals to:
= 15%*$11,757 + $927.50
= $1,763.55 + $927.50
= $2,691.05
Hence, The amount that the taxpayer is owing in taxes is $2,691.05.
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complete question:
Based on this table, if someone had a taxable income of $11,757, how much would they owe in taxes?
Part E
Christopher Columbus set sail from Spain in 1492. In what year did the Civil War end?
I know he died 1865 but you explain the answer
PLEASE ASAP, question in photo
Answer:
m<5 = 142
Step-by-step explanation:
Determine whether each relation is a function. {(3, 2), (-1, 3), (5, 2)} and {(9, -1), (3, 6), (-2, 4), (3, 0)}
We can state that the given relations:
{(3, 2), (-1, 3), (5, 2)} is a function.
{(9, -1), (3, 6), (-2, 4), (3, 0)} is not a function.
What Makes a Relation a Function?A relation is a function if each of the x-values in the relation has exactly one corresponding y-value it is related to.
Given the relation with the ordered pairs, {(3, 2), (-1, 3), (5, 2)}, we can see that each x-value has exactly one y-value.
For the relation, {(9, -1), (3, 6), (-2, 4), (3, 0)}, we can observe that the x-value "3" has three corresponding y-values, "6, and 0", therefore, it is not function.
Therefore, we can state that the given relations:
{(3, 2), (-1, 3), (5, 2)} is a function.
{(9, -1), (3, 6), (-2, 4), (3, 0)} is not a function.
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A building has 6 homes per floor and 3 floors. On the first floor, there are 4 penguins per home. On the second and third floor, there are 3 penguins per home.
Which equation can we use the total number of penguins living in the building?
The equation that represent the number of penguins is (6 × 4) + (3 × 6) + (3 × 6) = p.
How to find the equation to represent a situation?A building has 6 homes per floor and 3 floors. On the first floor, there are 4 penguins per home. On the second and third floor, there are 3 penguins per home.
Therefore, the equation that can be used to find the total number of penguins living in the building is as follows:
Hence,
(6 × 4) + (3 × 6) + (3 × 6) = p
where
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Need help with number 2 and 3
Answer:
2. SSS ( Side-Side-Side)