Answer:
Value of variable 'x' is 18.
Step-by-step explanation:
From the picture attached,
In right triangle XYZ,
m(∠YXZ) = (3x + 11)°
m(∠XYZ) = 90°
m(∠XZY) = 25°
By applying triangle sum theorem in the given triangle,
m(∠YXZ) + m(XZY) + m(∠XYZ) = 180°
(3x + 11)° + (25)° + (90)° = 180°
3x + 126 = 180
3x = 54
x = 18
Therefore, value of variable 'x' is 18.
Choose the correct simplification of a^5b^6/a^4b^4
Answer:
answer is b²a is the correct answer
Step-by-step explanation:
happy to help :)
Ms. Jankowski’s art class has a total of 35 students enrolled. Seven of the thirty-five students are girls. What percentage of the class is made up of boys? *
Answer:
80% of the class is made up of boys
Step-by-step explanation:
7/35 are girls, which means, 28/35 are boys (35 - 7)
To find the percentage, you divide 28 by 35
28/35 = 0.8 or 80%
The state of Georgia has roughly 10⁷ human residents. Each human has roughly 10¹³ bacteria cells in his or her digestive tract. How many bacteria cells are there in the digestive tracts of all the humans in Georgia?
Answer:
10^20
Step-by-step explanation:
So in this word problem, we have to multiply 10^13 bacteria cells on a single person by the 10^7 of people.
Always remember this, when you have exponenets with the same bases, and the question asks for multiplying and dividing exponents, you just need to add and subtract the exponent.
So in this case, we will just add since it calls for multipactation.
So we need to solve:
10^13+7
This will just equal:
10^20 power
Hope this helps ;)
You construct a picture frame with a diagonal piece attached to the back for support, as shown below. Can you tell from the dimensions whether the corners of the frame are right angles?
222Answer:
Step-by-step explanation:
As a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.
Here,
Constructed a picture frame with a diagonal piece attached to the back for support, as shown.
To check from the dimensions whether the corners of the frame are right angles, so from observation, the figure is of a rectangle, It must satisfy the Pythagoras theorem.
Diagonal = 39
Diagonal = √[15² + 36²]
Diagonal = √1521
DIagonal = 39
Thus, as a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.
Learn more about rectangles here:
brainly.com/question/15019502
#SPJ2
Someone please help me asnwer this!!
Answer:
89 cm
Step-by-step explanation:
By Pythagoras Theorem,
c² = 80² + 39²
c² = 6400 + 1521
c² = 7921
c = 89 cm
Hope it helps :)
Evaluate :
[tex] \frac{3}{8} + \frac{2}{9} [/tex]
[tex] \frac{4}{9} + \frac{1}{2} [/tex]
Given f(x) = 6(1-x), what is the value of f(-8)?
Answer:
7/3
Step-by-step explanation:
1x6
1x(-x)
subtract and solve
What expression is undefined
Answer:
Step-by-step explanation:How do we know when a numerical expression is undefined? It is when the denominator equals zero. When we have a denominator that equals zero, we end up with division by zero. We can't divide by zero in math, so we end up with an expression that we can't solve.
To find:
Which of the four expressions are undefined, or not possible to calculate.
Steps:
Lets go through each option one by one
Option A:
[tex]-\frac{0}{2}[/tex] , in this expression a negative zero is divided by 2, we know that zero divided by any number is equal to 0.
[tex]-\frac{0}{2}= -0 = 0[/tex]
Since option A is defined. Now lets go to option B
Option B:
[tex]\frac{3}{6-6}= \frac{3}{0}[/tex]
this expression shows 3 divided by a zero, but dividing any non-zero number by 0 is not possible.
Therefore option B is undefined. We found out the answer but lets continue for learning purposes.
Option C:
0 ÷ 11 = [tex]\frac{0}{11}[/tex]
This expression is similar to the first expression, where zero is divided by any number.
[tex]\frac{0}{11} = 0[/tex]
Therefore option C is defined. Now let continue to option D
Option D:
[tex]\frac{-4+0}{8}= \frac{-4}{8}= \frac{-1}{2}[/tex]
In this expression, the final answer after simplifying is -1/2 which is a number and is possible to calculate
Therefore option D is defined.
Happy to help :)
If u need any more help feel free to ask
factor by grouping 20i^3-25i^2+4i-5
What is equivalent to 3n+2(1-4n)
Answer:
-5n + 2
Step-by-step explanation:
distribute 2 into (1 - 4n)
3n + 2 - 8n = -5n + 2
HELP ME PLEASE PLEASE PLEASE
Answer:
( 4 x 10 y )
Step-by-step explanation:
4. What type of sequence is this? *
6.6, 7.2, 7.8, 8.4, 9, ...
lArthimetic
Geometric
Neither
Answer:
Arithmetic
Step-by-step explanation:
We are given the sequence :
6.6, 7.2, 7.8, 8.4, 9, ...
We need to determine whether it is arithmetic, geometric, or neither.
Arithmetic sequences are a bunch of numbers that gradually increase or decrease through equal amounts of adding or subtracting.
Geometric are the same thing but the numbers are gradually increasing or decreasing through multiplication or dividing.
Looking at the sequence, we notice that 0.6 is added into every single number to reach the one next to it.
It fits the description of an arithmetic sequence, therefore the sequence is arithmetic.
Explain distributive property
Answer:
distributive property of binary operations generalizes the distributive law from elementary algebra, which asserts that one has always {\displaystyle x\cdot =x\cdot y+x\cdot z.} For example, one has 2 ⋅ = +. One says that multiplication distributes over addition.
Answer:
Look at attachment:
Step-by-step explanation:
Hope this helps! :)
A coin and a number cube with the numbers 1 through 6 are tossed. What
is the probability of the coin showing tails and the number cube showing
the number 3?
a. 1/12
b. 1/4
c. 1/8
d. ½
with some justification please
Answer:
yes
Step-by-step explanation:
opo
quadratic formula to find the zeros
b^2-4b+4=0
Answer:
Step-by-step explanation:
Remark
I don't think you need the quadratic formula for this equation. It just factors into (b - 2)(b - 2), but I'll do it because you requested it.
Formula
[tex]\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}[/tex]
Givens
a = 1
b = - 4
c = 4
Solution
x = - - 4 +/- sqrt((-4^2) - 4*1*4)
====================
2*1
x = 4 +/- sqrt (16 - 16)
==========
2
x = 4/2
x = 2
There are 2 roots but both of them are the same. Some teachers say there is only 1 root. I'm in that group.
This is a relative frequency table. Can some one help?
Answer:
Step-by-step explanation:
it's an unfair question b/c we have to know if it's out of all girls or out of all kids. So we need to know the population total. so if it was just girls the it's
3/45 = 0.0666666666666...
if it's out of kids.. then it's 3/123= 0.02439....
so that's the two choices.. which one is on the list of choices? both are so that's why this is an unfair question. maybe this is more to the question not shown in the picture? hmmmm
The legs of a right triangle are 24 in and 9 in. What is the length of the hypotenuse? Round to the nearest tenth.
Answer:
25.6
Step-by-step explanation:
24^2 + 9^2=h^2
576+81=h^2
657=h^2
25.6=h
The difference between two positive integers is 4. If the smaller is added to the square of the larger, the sum is 52. Find the integers.
Answer:
The integers are 7 and 3
Step-by-step explanation:
if you put x as smaller number and y as bigger number you can write two equations:
x+y^2=52 and y-4=x
In the first polynomial, y can either equal 7 or -8, but the number has to be positive, so it's 7
y-4 to get x, plug 7 in and you get x=3
y=7 and x=3
Answer:
7 and 3
Step-by-step explanation:
We will let x equal the larger one
y will be the smaller one
We can write the two equations
x-y=4
y+x²=52
We will solve this through substitution
we will take the first equation and add y to moth sides
x=4+y
we then substitute this into our second equation
y+(4+y)²=52
distribute the square
y+8y+y²+16=52
y²+9y-36=0
Factor this
(y-3)(y+12)=0
Which means that y is either 3 or -12 but because it said that both numbers are positive we can reject the negative 12 (which means that y is 3)
Plug in y=3 into our first equation
x-3=4
x=7
look at pic 10 pts will mark brainilest
Answer:
12h = 432
Step-by-step explanation:
What kind of graph would be best to show the results of a group of students who were asked about their favorite kind of pizza. Explain your answer in complete sentences.
Answer:
A graph that would be best for a group of students trying to figure out there favorite pizza is a pie graph.
Step-by-step explanation:
HELP WILL GIVE BRANLIEST!!
Answer:
the answer is the first option
PLEASE HELPPP! I'LL GIVE BRAINLEST
Find the lengths of the legs.
(NO LINKS)
Given:
The figure of a right angle triangle with hypotenuse 10 and two angles [tex]45^\circ, 90^\circ[/tex]
To find:
The lengths of the legs.
Solution:
Two angles are given. By using the angle sum property, the third angle is:
Third angle = [tex]180^\circ-45^\circ- 90^\circ[/tex]
= [tex]45^\circ[/tex]
Base angles are equal it means the given triangle is an isosceles right triangle. So, the lengths of both legs are equal.
Let x be the lengths of both legs. Then by using Pythagoras theorem, we get
[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]
[tex](10)^2=x^2+x^2[/tex]
[tex]100=2x^2[/tex]
[tex]\dfrac{100}{2}=x^2[/tex]
[tex]50=x^2[/tex]
Taking square root on both sides, we get
[tex]\pm \sqrt{50}=x[/tex]
[tex]\pm 5\sqrt{2}=x[/tex]
[tex]\pm 5\sqrt{2}=x[/tex]
The side length cannot be negative. So, the only value of x is [tex]5\sqrt{2}[/tex].
Therefore, the length of the both legs is [tex]5\sqrt{2}[/tex] units.
Answer choices
10%
30%
25%
No links no links I will report
Aboard is cut into 12 equal pieces. How many pieces together represent 3/4 of the board? Explain how you arrived at your answer?
Answer:
9 pieces represent 3/ 4 because
3/4 × 12 parts = 9 parts
mark me as brainliest
Answer:
9 pieces
Step-by-step explanation:
12 x 3/4 = 9 or
3/4 converted to a decimal = .75 and 12 x .75 = 9
Below are two parallel lines with a third line intersecting them
Answer:
its 122
Step-by-step explanation:
just did it on khan academy
Richard requests his annual Social Security Statement from the IRS each year. He wants to check how many Social Security credits he received
for 2009. He worked January thru September and earned $2,304 per month. At the end of September his company had layoffs and Richard did
not work from October thru December. How many credits did he earn in 2009? *Required to earn at least 51092 per quarter.
O
Ob
Ос
Od
1
4
3
Answer:
Statement from the IRS each year. He wants to check how many Social Security credits he received
for 2009. He worked January thru September and earned $2,304 per month. At the end of September his company had layoffs and Richard did
not work from October thru December. How many credits did he earn in 2009? *Required to earn at least 51092 per quarter.
O
Ob
Ос
Od
1
4
3
I want to know if I am correct. I forgot how to do this and I am helping out little brother
question in screenshot
Hall and rey are seeing who can make the most money working their new summer jobs. Rey made $154.21 in the first month. If hall finishes the summer with $313.06, how many hours at a rate of $8.04 per our, does rey need to work to make more than hall
Write an inequality that represents the situation using x to represent the hours
Answer:
x564.99
Step-by-step explanation: