Answer:
y = 62
Step-by-step explanation:
Since we need to solve for x first, we'll solve the left triangle first. A triangle equals 180 degrees, so with in mind:
x + 7 + 3x - 18 + x - 9 = 180
add like terms
5x - 20 = 180
add 20 to both sides
5x = 200
divide by 5
x = 40
Now we have x, input it into the equations for the second triangles:
x + 21 + x + 17 + y = 180
40 + 21 + 40 + 17 + y = 180
add/simplify
118 + y = 180
subtract 118 from both sides
y = 62
Answer:
x = 40° ; y = 62°
Step-by-step explanation:
The figure consists of 2 triangles. According to Angle sum property in a triangle , sum of measure of all the angles of a traingle is equal to 180° .
So ,
[tex](3x - 18) + (x + 7) + (x - 9) = 180[/tex]
[tex] = > 5x - 20 = 180[/tex]
[tex] = > 5x = 180 + 20 = 200[/tex]
[tex] = > x = \frac{200}{5} = 40[/tex]
Now using the angle sum property in another triangle ,
[tex](x + 21) + (x + 17) + y = 180[/tex]
[tex] = > y + (40 + 21) + (40 + 17) = 180[/tex]
[tex] = > y + 61 + 57 = 180[/tex]
[tex] = > y + 118 = 180[/tex]
[tex] = > y = 180 - 118 = 62[/tex]
The mean score on a physics test was 75 points. Amy’s score was 67 points, which was 2 standard deviations below the mean. What is the variance of the data set?
Answer:
D.16
Step-by-step explanation:
took the Unit test 100%
Answer:
D
Step-by-step explanation:
Which point represents the ordered pair (-2 1/4, 2/3)?
A. Point Q
B. Point R
C. Point S
D. Point T
Answer: c. Point S
Step-by-step explanation:
Answer:point s
Step-by-step explanation:
please it’s an emergency
Answer: C
Step-by-step explanation:
Okay first set a comparison since the two triangles are similar
x-1/20=x-1+27/3x+8
x-1/20 = x+26/3x+8
cross multiply
20x+520=3x^2+8x-3x-8
3x^2-15x-528=0
3(x^2-5x-176)=0
im kinda lazy to factor this out so i used an online calculator right here but factor it out like a good kid
x=16, x=-11
it has to be positive so x=16
C
You are standing at the edge of a cliff. You look down with an angle of depression of 20 degrees and see a a dog at the bottom that is 130 feet away from where you're standing. What is the height of the cliff? Round your answer to the nearest tenth, and round only once.
Answer:
47.3feet
Step-by-step explanation:
The set up will give a right angled triangle.
The distance of the dog away from the cliff = 130 feet = adjacent side
Angle of depression = 20°
Height of the cliff = Opposite = x
Using the SOH, CAH, TOA trigonometry identity;
According to TOA;
tan theta = opposite/adjacent
tan 20 = x/130
Cross multiply;
x = 130tan20
x = 130(0.3639)
x = 47.3 feet
Hence the height of the cliff to the nearest tenth is 47.3feet
Solve the following equation for x:
-3 (x - 4)+ 24x = 4(5 – 2)+7x
Jill has 15 oranges and 12 pears. She wants to put all of the fruit into baskets with each basket having the SAME NUMBER of pieces of fruit in it. Without mixing the fruit, what is the GREATEST number of pieces of fruit Jill can put in each basket?
If AABC = ADEF, which segment is congruent to AC?
Answer:
Segment DF
Step-by-step explanation:
The corresponding vertices are in the same order in both triangles.
ABC
DEF
Segment AC is congruent to segment DF.
Maurice and his father are building a dog house. They are using long pieces of wood and cutting them into smaller pieces. They have a piece of wood that is 3.6 feet long and are cutting it into pieces that are each 0.75 feet. How many smaller pieces will they be able to make?
Answer:
4.8 smaller pieces
Step-by-step explanation:
Total length of wood = 3.6 feet
Length of each piece = 0.75 feet
How many smaller pieces will they be able to make?
Number of smaller pieces of wood = Total length of wood / Length of each piece
= 3.6 feet / 0.75 feet
= 4.8 smaller pieces
Number of smaller pieces of wood = 4.8
Jeremy needs an extra 2 dozen cookies in addition to the 4 dozen (48) that the recipe makes. He says to himself "If I just add 2 to the amount of each ingredient, that will be how much I need."
Is Jeremy correct? Explain why or why not.
Answer:
yes
Step-by-step explanation: because it's 1 1/2 times the recipe
12- [3 - (13) * 2]
I need work shown
Answer:
35
Step-by-step explanation:
Answer:
12−(3−(13)(2))
=12−(3−26)
=12−(−23)
=35
Step-by-step explanation:
PLEASEEE ANSWERR
Which steps show how to use the distributive property to evaluate 7 · 88?
A. 7(88)=7(90 - 2) = 7.90-2 +630 – 2 = 628
B. 7(88)= 7(90 - 2) = 7.90-7.2 = 630 – 14 = 616
C. 7(88)=7(90 - 2) = 7.90 +7.2 = 630 + 14 = 644
D.7(88)=7(90 - 2)=7.90 - 90.2 = 630 – 180 = 450
Answer:
b
Step-by-step explanation:
The diagonals of quadrilateral ABCD
intersect at E
. If EC=4, BD=12, AE=x,
and BE=y
, what values of x
and y
would prove that the quadrilateral is a parallelogram?
Answer:
Step-by-step explanation:
16 ae =x
The values of x
and y that would prove that the quadrilateral is a parallelogram are 4 and 6 respectively.
Find the diagram attached. In order to prove that the quadrilateral is a parallelogram, we need to find the values of x and y that make the diagram a parallelogram.
From the parallelogram;
AE = EC and BE = EDBD = BE + EDAC = AE + ECGiven the following parameters
EC=4,
BD=12,
Since AE = EC, hence the measure of AE is 4.
Similarly, BD = BE + ED
BD = BE + BE
BD = 2BE
12 = 2BE
BE = 6 = y
Hence the values of x
and y that would prove that the quadrilateral is a parallelogram are 4 and 6 respectively.
Learn more about parallelograms here: https://brainly.com/question/12825816
1-4x/2x+1=4/1-5x
solve in quadratic equations
Answer:
I can only assume that the entire 1-4x is divided by 2x, and 4 by all of 1 - 5x. You can guarantee more accurate results by using brackets where appropriate. If I read that expression with the correct notation, it reads as [tex]1 - \frac{4x}{2x} + 1 = \frac{4}{1} - 5x[/tex].
Assuming instead that it's meant as [tex]\frac{1 - 4x}{2x + 1} = \frac{4}{1 - 5x}[/tex], we can solve it as shown below, giving us x values of 1 and 3/20 (or 0.15).
Step-by-step explanation:
First let's reformat this to the usual ax² + bx + c format:
[tex]\frac{1 - 4x}{2x + 1} = \frac{4}{1 - 5x}\\(1 - 4x)(1 - 5x) = 4(2x + 1)\\1 - 5x - 4x + 20x^2 = 8x + 4\\20x^2 - 5x - 4x - 8x + 1 - 4 = 0\\20x^2 - 17x - 3 = 0[/tex]
Let's solve it with the quadratic formula:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}\\\\x = \frac{17 \pm \sqrt{-17^2 - 4\times 20 \times( -3)} }{2\times20}\\\\x = \frac{17 \pm \sqrt{289 + 240} }{40}\\\\x = \frac{17 \pm 23 }{40}\\\\x = 1, \frac{3}{20}[/tex]
Select the correct answer. What is[tex]\sqrt{192}[/tex] in simplest form? A.32√3 B.3√8 C.8√3 D. 2√48
Answer:
C. 8√3
Step-by-step explanation:
Please mark me as brainlest!
Thanks!
48√2 in the simplest form of the expression √192.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can simplify the √192 by factoring it into its prime factors:
192 = 2 × 2 × 2 × 2 × 2 × 3 × 3
Then, we can group the prime factors into pairs of two:
192 = (2 × 2) × (2 × 2) × (2 × 3) × 3
Simplifying each pair of factors under the square root gives:
[tex]\sqrt{192} = \sqrt{(2\times2)}\sqrt{(2\times2)}\sqrt{(2\times3)}\sqrt{3}\\= 4\times4\times\sqrt{6}\sqrt{3} \\= 16\sqrt{6}\sqrt{3}[/tex]
Finally, we can simplify the expression by multiplying the coefficients and combining the square roots:
[tex]16\sqrt{6}\sqrt{3} \\= 16\sqrt{18} = 16\sqrt{2\times3\times3} \\= 16\times3\sqrt{2} \\= 48\sqrt{2}[/tex]
Therefore,
48√2 in the simplest form of the expression √192.
Learn more about expressions here:
https://brainly.com/question/3118662
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Slope of (9,4) and (7,10)
Answer: The slope of those two points would be -3
I hope this helps, and Happy Holidays! :)
Answer:
-3 ..?
Step-by-step explanation:
Please help 10 pts given
Answer:
6.50 per mile
Step-by-step explanation:
Two complementary angles have a difference of 22 degrees. What are the two angles?
plz its due in 20 min
Answer:
If two angles sum is equal to 90° and makes right angle called = complementary angle...☺️✌️
Above sum solution....
one angle =x
other angle =y
According to question
x+y= 90°......(1)
x-y=22°......(2)
from one and two ....by eliminating method...
2y=68
y=68/2
y=34
put y in equation 1
x+y=90°
x+34=90°
x=90°-34
x= 56...
To verify add both
sum = 90°
Hence ..verified...
Step-by-step explanation:
hope its helps u...☺️✌️✌️
Answer:
13 degrees
Step-by-step explanation:
Need help with this fast
Answer:
the second diver is the deepest
Step-by-step explanation:
45 is better than 36
5^2 + [15-4(3 1/5)] -15.4
And you have to show your work Bc the dang teacher is strict
Answer:
I think the answer is 11.8
Step-by-step explanation:
25+ [ 15- 4 x 16/5] - 15.4
25 +[ 15- 4/1 x 16/5] - 15.4
25+ [ 15 - 20/5 x 16/5] - 15.4
25 +[ 15 - 64/5] - 15.4
25+ [ 15/1 - 64/5] - 15.4
25+ [75/5 - 64/5] - 15.4
25+ 11/5 - 15.4
25+ 2.2 - 15.4
27.2 - 15.4
11.8
PLEASEEEEE HELPPPPP THIS IS ALGEBRA 1
Raise m to the 5th power, then multiply 8 by the result
Answer:
8m⁵
Step-by-step explanation:
m to the 5th power = m × m × m × m × m
= m⁵
Then multiplied by 8 = 8 × m⁵
= 8m⁵
Therefore, m to the 5th power multiplied by 8 will be represented by 8m⁵.
Easy points if u know it
Answer:
True
Step-by-step explanation:
5x + 2 = 17
Subtract 2 from both sides
5x = 15
Divide both sides by 5
x = 3
Plug this number into the next equation and see if it is true
10x + 4 = 34
10(3) + 4 = 34
30 + 4 = 34
34 = 34
This is a true equation, so the the answer is true.
Answer:
True
Step-by-step explanation:
⇒ This is true because the whole equation 10x + 4 = 34 is 2 times more than the other equation 5x + 2 = 17.
⇒ You can see that by multiplying the whole equation 5x + 2 = 17 by 2:
2(5x + 2 = 17)
⇒ To get:
10x + 4 = 34
So both equations are equivalent, which means that the answer is true.
Hope this helps! :)
Can someone pls help me
Answer: x = 7
Step-by-step explanation:
7x+9=58
8x+2=58
These are congruent angles so they are the same value.
plz help i’ll mark brainliest for correct answer
Answer:B
Step-by-step explanation:
(x+1)^2-(x-8)^2
please help
Your bedroom is a square and each side of your bedroom is 8 feet long what is the area of your bedroom
Answer: 64 square feet
Step-by-step explanation:
Janet buys a pair of shoes for 50% off the original price of $80. What is the sale price of the shoes?
Answer:
$40
Step-by-step explanation:
Answer:
$40
Step-by-step explanation:
80 divided by 2 = 40 50 %
can someone please help me find out what LN and KN is
Answer:
LN= 3,9
KN=-2,9
Step-by-step explanation:
its that answer because on the number lime L is 3 and N is 9 and K is -2
Events A and B are independent. The probability of A given B has occurred is 0.43, and the probability of B given A has occurred is 0.35.
What is the probability, to the nearest hundredth, that A and B occur?
Answer:
0.43* 0.35 = 0.1505 or 0.15 after rounding
Step-by-step explanation:
Based on the probabilities of A and B occurring with conditions, the probability of A and B occurring is 0.15.
What is the probability that both A and B occur?This can be found by the formula:
= Probability that A occurs if B occurs x Probability of B occurring if A occurs
Solving gives:
= 0.43 x 0.35
= 0.15
In conclusion, the probability is 0.15.
Find out more on independent event probabilities at https://brainly.com/question/7965468.
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PLEASE HELP
9 increased by the product of 4 and v
Answer:
4v + 9 or 9 + 4v
Step-by-step explanation:
increased means plus
the product of is multiplication
im too tired to explain annything else
gn bro
Can I PLEASE GET SOME HELP FROM SOMEBODY ANYBODY for these questions 26,43,44,45 PLEASE
Answer:
sure
Step-by-step explanation: