Answer:4/6
Step-by-step explanation:
The measure of angle ∠B will be 66 degrees.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
D is on side AB of triangle ABC. We know triangle ABC is similar to triangle ACD and angle A = 48 degrees. If BC = CD.
∠ABC = ∠ACB = x (Isosceles triangle property)
In △ABC, the angle sum is 180°. Then we have
∠ABC + ∠ACB + ∠ABC = 180°
x + x + 48° = 180°
2x = 132°
x = 66°
Then
∠BCA = ∠BCD + ∠DCB = 66°
∠BCD = 66° − 18°
∠BCD = 48°
Now, In ΔBCD, then we have
∠BCD + ∠BDC + ∠DBC = 180°
48° + ∠BDC + 66° = 180°
∠BDC = 66°
We know that ∠BDC = ∠DBC,
∠DBC = ∠BDC
∠DBC = 66°
The measure of angle ∠B will be 66 degrees.
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nick have collection of 80 cars.3/5 of his toys are bus.the rest are cars and bike.the number of cars are the three time the number of bikes.how many cars are there.
Answer:
24 cars
Step-by-step explanation:
out of 80 toys, 3/5 are buses- 80 * 3/5 is 48 so there are 48 buses
80 - 48 is 32, 32 of the rest of the toys are cars and bikes
we know that there are 3 times as many cars than bikes, so to find out how many cars and bikes there we can do 3n + n, where n is the number of bikes it also equals 4n
32 = 4n; n = 8
there are 8 bikes, so there are 24 cars
Can someone explain how the following Matrix can be multiplied? I thought the column of the first matrix had to match the row of the second and the row of the first had to match the column of the second. I how the matrices listed below as (1x3) and (3x3) respectively. Yet my online Pre-cal course says it's possible. Please explain why this is so.
You are correct in thinking that the columns of the first matrix must match with the rows of the second matrix.
So for example, we can multiply a 1 x 5 matrix with a 5 x 7 matrix. The two matching '5's are directly what make multiplication possible in this case. For your problem, the first two '3's match and multiplication is possible.
The rows of the first matrix don't need to match with the columns of the second matrix.
what's rational numbers
writing carla has already written 10 pages of a novel she plans to write 15 additional pages per month until she is finished A.write an equation to find the total number of pages P written after any number of months MB. graph the equation on the grid at the rightC. find the total number of pages written after 5 months
Answer:
P = 5M + 10
Step-by-step explanation:
15 pages/month * M months + 10 pages = P pages
5 Months = 5*15 + 10 = 85 pages
Self explanatory solve porfavor
2(2/5) divided 2(-1/5)
we do PEMDAS meaning parenthesis first
2(2/5) = 4/5(calculator)
or
2/1x2/5=4/5
now
2/1x-1/5=-2/5
now we do division
4/5/-2/5 we get -2
-2
15 examples of real life situations where we apply approximation
Answer:
Have a splendiferous day!
Hope this helps!
Step-by-step explanation:
Shopping at the grocery store
Rough calculations of math
Figuring out time it would take to reach a location
Making nearly accurate measurements
Trying to stay within a budget
Solving extremely complicated numbers
Dealing with decimals
For quick calculations in a business
To prepare ahead, e.g an overestimate
and so on.
Please help me i have a bench mark test
it would be the second one because it is exactly the same the first one is a little bit shorter so there not exactly the same
plzzzzzzzzz help and the answer choice i have on there is not the answer just where i accidently hit lol
Answer:
B is the answer
Step-by-step explanation:
The two triangles shown are congruent
Answer:
30* or A
Step-by-step explanation:
If the triangles are congruent, corresponding angles and sides are equal.
So angle c is 60* because it is opposite of side x.
angle b is 180-90-60 because all angles add up to 180 in a triangle.
Definition: To solve a problem, we often______
the given information into algebraic expressions and
Example: The phrase "4 more than twice a number' becomes 2n + 4'.
To solve a problem, we often Translate the given information into algebraic expressions and equations.
Step-by-step explanation:
Consider the provided statement.
In order to solve a mathematical problem, we often translate the given information into algebraic expressions and equations.
For example: “6 less than twice a number"
We first need to translate it.
This can be translated as: 2n-6
Where n represents the number.
Hence, the complete statement is To solve a problem, we often Translate the given information into algebraic expressions and equations.
The two-way frequency table below shows the number of students in a class whose top scores on a standardized test were on the reading, writing, and mathematics sections. Which of these statements is true based on the table?
A.Seventh-grade students tend to do better on the writing section compared to the mathematics and reading sections.
B.Seventh-grade students tend to do better on the mathematics section compared to the reading and writing sections
С.Eighth-grade students tend to do better on the writing section compared to the mathematics and reading sections
D. Eighth-grade students tend to do better on the mathematics section compared to the reading and writing sections.
Answer:
D
Step-by-step explanation:
Eighth-grade students tend to do better on the mathematics section compared to the reading and writing sections.
Bc math is 5 when writing is 3 and the reading is at 1 so math is better
Eighth-grade students tend to do better on the mathematics section compared to the reading and writing sections. Therefore, option D is the correct answer.
Given that, the two-way frequency table shows the number of students in a class whose top scores on a standardized test were on the reading, writing, and mathematics sections.
What is frequency table?A frequency table lists a set of values and how often each one appears. Frequency is the number of times a specific data value occurs in your dataset. These tables help you understand which data values are common and which are rare.
By interpreting the given data table we get
Eighth-grade students tend to do better on the mathematics section compared to the reading and writing sections.
Therefore, option D is the correct answer.
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3 1/4 divided by 5 1/3
Answer:
0.609375 or 39/64
decimal ------- fraction
Step-by-step explanation:
PLEASE HELP ME I DONT GET THIS..
Hopes this help
Which statement about equations with no solution is TRUE? I will give brainliest!!
No matter what number you substitute for the variable, the simplification will result is a false statement.
You can substitute the number 0 for the variable, and a true statement will always result when simplified.
You need to simplify the equation before you can substitute a number for the variable.
Any number that you substitute for the variable will result in a true statement when simplified.
No matter what number you substitute for the variable, the simplification will result is a false statement.
Write the following algebraic expression for this sentence:
"The product of eight and a number squared decreased by 5."
Answer:
8n² - 5
Step-by-step explanation:
n = 'a number'
The expression is 8x² - 5.
what is expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the expression x/2 + 6.
Given:
The product of eight and a number squared decreased by 5
let the number be x.
product of eight and a number squared
= 8x²
and decreased by 5
= 8x² - 5
hence, the expression is 8x² - 5.
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prove cos a = 5/13 pls solve it and no link pls..........
Answer : The demonstration is below :)
Step-by-step explanation :
We use Pythagoras' theorem :
In the triangle ABC we have :AB² = AC² - BC² = 15² - 9² = 144 = 12²
In the triangle ABD we have :DB² = AD² - AB² = 13² - 12² = 5²
cos(a) = BD/AD = 5/13
The annual average rainfall in new york is 50 ⅕ inches
Per year. Write this fraction as a decimal. HELPPP
50.2 should be the anwser i doubled checked with search
and it says it is correct so it should be good.
Step-by-step explanation:
math
Geometry questions need some help
Step-by-step explanation:
8) x=23sin(48) =17.1m
9) x=11cos42=8.2ft
how to write 175% as a decimal
you roll a standard die. you win $12 if you roll a six, $6 if you roll a one, and $0 if you roll anything else. what is the expected value of a single roll?
Answer:
$0
Step-by-step explanation:
The chance of winning money is 2/6 -> 1/3, and sense 2/3 is larger than 1/3, we can conclude the expected value of a single roll is $0.
(I may be doing this problem wrong as I don't have context for what you're currently working on, but I hope this helps. Have a nice day!)
Answer:
1 dollar
Step-by-step explanation:
Because if u roll a six it gives you six dollars so how many rolls you roll you get that amount of money. :)
I hope im right :D
3/4 of a number 120 What is three-eights of the number? please answer no point scamming i will give you brainiest
Answer:
60Step-by-step explanation:
Let the number is x.
3/4 of a number is 120:
3/4x = 120x = 120*4/3 = 160What is three-eights of the number:
160*3/8 = 60Look at the arithmetic pattern shown here.
Select the Hint button to view a hint.
Using the variable n for the term, describe the sequence.
Answer:
[tex]a_{n}[/tex] = 10n
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = a₂ - a₁ = 20 - 10 = 10 , then
[tex]a_{n}[/tex] = 10 + 10(n - 1) = 10 + 10n - 10 = 10n
The sequence can be seen to be an arithmetic sequence and the common difference of the sequence is 10.
What is an arithmetic sequence?Arithmetic sequences are an essential concept in mathematics and have applications in various fields, including algebra, physics, computer science, and finance. They are widely used to model patterns and relationships in real-world situations.
Looking at the sequence we can see that the common difference d can be obtained as;
d = S2 - S1
= 20 - 10
= 10
d = S3 - S2
= 30 - 20
= 10
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What is the product?
(45+2)(582 +10s+3)
0 2052 + 205+6
O 2083 +40s2+12s
0 2033 + 1082 +325+ 6
0 2053 +5082 +325+6
+
Step-by-step explanation:
(4s + 2) × (5s² + 10s +3)
we know immediately the first and the last term of the result, because there is only one operation to build them :
20s³ and 6.
so, the first answer option is already eliminated.
let's multiply
4s×5s² + 4s×10s + 4×3s + 10s² + 20s + 6
20s³ + 40s² + 12s + 10s² + 20s + 6
20s³ + 50s² + 32s + 6
so, the last answer option is correct.
Mathematics *extra characters
Answer:
31/2
Step-by-step explanation:
yes
May I please receive help?
Please???
Answer:
m1 is 25 and m2 is 50
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
x+2x=75
Marc solves the equation Latex: (\sqrt[4]{x})^3=5\textsf{.} His work is shown below. Step 1: Latex: (\sqrt[4]{x})^3=5 ( √ [ 4 ] x ) 3 = 5 Step 2: Latex: x^{\frac{3}{4} }=5 x 3 4 = 5 Step 3: Latex: x^{\frac{3}{4} \cdot \frac{4}{3} }=5^{\frac{4}{3} } x 3 4 ⋅ 4 3 = 5 4 3 Step 4: Latex: x=\sqrt[3]{5 \cdot 5 \cdot 5 \cdot 5} x = √ [ 3 ] 5 ⋅ 5 ⋅ 5 ⋅ 5 Step 5: Latex: x=5\sqrt[3]{\not{5} \cdot \not{5} \cdot\not {5} \cdot 5} x = 5 √ [ 3 ] ¬ 5 ⋅ ¬ 5 ⋅ ¬ 5 ⋅ 5 Step 6: Latex: x=5\sqrt[3]{5} x = 5 √ [ 3 ] 5 Explain what Marc did in steps 4 and 5. Why did he do this? Create your own radical equation and explain how to solve it. Is there an extraneous solution to your equation?
Based on the calculation, we can say that there is an extraneous solution to the equation
Given the equation solved by Marc expressed as:
[tex](\sqrt[4]{x})^3=5[/tex]
We are to check if the indices equation has an extraneous equation.
According to the law of indices [tex](\sqrt[n]{m} )^a=m^{\frac{a}{n} }[/tex], the expression becomes:
[tex](\sqrt[4]{x})^3=5\\x^\frac{3}{4}=5\\[/tex]
Raise both sides to the power of 4/3 as shown:
[tex](x^\frac{3}{4} )^\frac{4}{3} = 5^\frac{4}{3}\\x^1 = 5^\frac{4}{3}\\x = 5^\frac{4}{3}\\[/tex]
This shows that there is an extraneous solution to the equation
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Please solve the math problem for me... I will mark you brainliest
Answer:
The midpoint is (4,4)
Step-by-step explanation:
AB is a vertical line. This means the x value must be 4. The y value is halfway between 0 and 8, which is 4. Therefore, the midpoint is (4,4).
Answer:
The midpoint is (4,4)
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
Below is a picture of how it is graphed.
A cyclist rides her bike at a rate of 30 miles per hour. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 5 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Answer:
48240Step-by-step explanation:
Part one
1 mile per hour = 1.60 kilometers per hour
30 miles per hour = ?
Step 1: Set up a fraction.
The units must be on the same level. And the rate in KM (kilometer) per hour will be a variable, "[tex]k[/tex]". It does not matter whether they are top or bottom.
[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]
As you can see, 1 mile per hour and 30 miles per hour are at the same level, leaving the rest on the same level, as well.
Step 2: Solve
[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]
Cross multiply1.60 × 30 = 48
1 × k = 1
Therefore, the rate is 48 kilometers per hour.
Part 2
This part is mainly the same as the first part. Fractions. However, since we've already found out the answer for part one, it will be simple.
Step 1: Multiply the result to 5.
48 × 5 = 240
Therefore, the cyclist will travel 240 kilometers in 5 hours.
Step-by-step explanation:
First, to make everything more clear, rewrite it like this-
1 mile = 1.6km
So we have to multiply 30 (miles) by 1.6 (km)
30 x 1.6 + 48
So it is 48km per hour, now we have to calculate how many km does she ride in 5 hours.
We have to multiply 48 by 5 which equals 240
So the answer is 240km
List the terms in the expression xyz+1
Answer:
see explanation
Step-by-step explanation:
xyz + 1 ← has 2 terms
xyz is one term and the other is the constant term + 1
Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A . Select all of the measurement pairs that could be the dimensions of Rectangle B.
Answer:
A=6 cm, D=4.5cm and E=80 cm
Step-by-step explanation:
