Answer:
[tex]x = \frac{-8 +\sqrt{190} }{2}[/tex] or x = 5.7840
Step-by-step explanation:
All the angles of a triangle add up to 180°, so we can solve this using the following equation:
180 = (x^2 + 34) + (6x + 4) + (10x + 10)
180 = x^2 + 34 + 6x + 4 + 10x + 10
Now, let's combine like terms:
180 = x^2 + (6x + 10x) + (34 + 4 + 10)
180 = x^2 + 16x + 54
Subtract 180 from both sides:
0 = x^2 + 16x - 126
And solve using the quadratic formula:
[tex]x = \frac{-b +\sqrt{b^{2}-4ac } }{2a}\\x = \frac{-16 +\sqrt{16^{2}-4(1)(-126) } }{2(1)}\\x = \frac{-16 +\sqrt{256+504 } }{2}\\x = \frac{-16 +\sqrt{760} }{2}\\x = \frac{-16 +2\sqrt{190} }{2}\\\\x = \frac{-8 +\sqrt{190} }{2}\\[/tex]
And we can approximate this as a decimal, if needed:
x = 5.7840
Due to delays, a company had to extend a project from 26 days to 42
days. What was the percentage increase in time to complete the
project? Round your answer to the nearest tenth.
Answer:
It should be 38.1
How much would it cost to buy three medium sodas and two hotdogs
Answer:
depends how much they cost each
The equivalent ratios are 6 : 2, 3 :
,
: 4, 15 :
.
Answer:
Hi freind just it
Step-by-step explanation:
Ruth wants to purchase a new video game that costs $59.00 and several bags of chips that sell for $1.99 each. She can spend no more than $75.00. Which inequality and its solution represents her possible purchase?
Answer:
1.99c + 59 ≥ 75, where c ≥ 8.04
Step-by-step explanation:
Solve pls brainliest
Answer:
The answer is 60%
Step-by-step explanation:
To solve that, just divide 24 by 40
24 ÷ 40 = 0.6
Now turn 0.6 to fraction.
0.6 = 60%
Find the vertices of the dilated figure whose original coordinates are A (0, 0), B (0, 9), C (8, 8) and D (10, 0) which is dilated by a scale factor of 6.
A' (0, 0), B' (0, 54), C' (48, 48), and D' (60, 0)
A' (0, 0), B' (0, -54), C' (-48, 48), and D' (60, 0)
A' (0, 0), B' (0, 54), C' (48, -48), and D' (60, 0)
A' (0, 0), B' (0, 54), C' (48, 48), and D' (-60, 0)
Answer:
A
Step-by-step explanation:
when dilating by a scale factor of 6, you are starting at the origin and just making it larger by a factor of 6, so you multiply the coordinates by 6 and get A
test the following statements to see if it’s reversible if so choose the true biconditional
Answer:
the statement is not reversible
Step-by-step explanation:
Hi there!
We are given the statement "if x=3, then x²=9"
In this case, the hypothesis (p) is x=3, while the conclusion (q) is x²=9
Reversing the statement would make it so that q is first, then p is after.
In other words, if the statement was originally "if p, then q", then the reverse of that statement would be "if q, then p"
This is known as the CONVERSE of the statement. Sometimes, the converse is true, but not always. If both the statement and the converse are true, then it's known as a BICONDITIONAL, where it works both ways
So we'll need to test if the following statement "if x²=9, then x=3" is true
If you subtract 9 from both sides, x²=9 becomes this equation:
x²-9=0
Using the square of differences formula, where x is a and 3 (square root of 9) is b:
(x-3)(x+3)=0
Now using zero product property:
x-3=0
Add 3 to both sides
x=3
AND:
x+3=0
Subtract 3 from both sides
x=-3
We see that the answers from this equation are x=3 and x=-3.
*if you plug 3 and -3 back in the equation, we can see they both work. Remember that x² is equal to x*x, or (x)²:
If x=3:
(3)²=9
(3)(3)=9
9=9
If x=-3:
(-3)²=9
(-3)(-3)=9
9=9
Hence, the statement doesn't work in the converse
The option "the statement is not reversible" is not the answer.
Hope this helps!
A family on a trip budgets $1,338 for meals and gasoline. If the price of a meal for the family is $90 and if gasoline costs $2.80 per gallon, then how many gallons of gasoline can the family buy if they buy 13 meals
’creating a system linear equation, the number of possible gallons of gasoline that can be purchased is 60 gallons
Given the Parameters :
Total budget = 1338Meal cost = $90Gasoline cost = $2.80 per gallon Number of meals = 13 Number of gallons of gasoline = gHence, we have :
90(13) + 2.80g = 13381170 + 2.80g = 1338
2.80g = 1338 - 1170
2.80g = 168
g = 168/2.80
g = 60
Therefore, only 60 gallons of gasoline can be purchased.
Learn more : https://brainly.com/question/18796573
How long did it take a jet to accelerate from 200 m/s to 300 m/s with a constant acceleration of 50 m/s?
It will take 2 seconds a jet to accelerate from 200 m/s to 300 m/s with a constant acceleration of 50 m/s.
What is division?One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.
Given:
A constant acceleration is of 50 meter per second.
A jet to accelerate from 200 m/s to 300 m/s.
Acceleration is 100 meters per 2 seconds.
That means,
it will take = (300 - 200)/ 50 m/s
= 2 seconds.
Therefore, it will take 2 seconds.
To learn more about the division;
https://brainly.com/question/13263114
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multiply 4 (-52/3) in simplest form
Answer:
Should be -69 1/3
Step-by-step explanation:
Let X equal the decimal number
Equation 1:
X=69.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
With 10 digits in the repeating decimal group,
create a second equation by multiplying
both sides by 1010 = 10000000000
Equation 2:
10000000000X=693333333333.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Subtract equation (1) from equation (2)
10000000000XX9999999999X===693333333333.3333333333...69.3333333333...693333333264
We get
9999999999X=693333333264
Solve for X
X=6933333332649999999999
Find the Greatest Common Factor (GCF) of 693333333264 and 9999999999, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 3333333333,
693333333264÷33333333339999999999÷3333333333=2083
Simplify the improper fraction,
=6913
In conclusion,
−69.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯=−6913
you have $5.88. You buy 8 items that cost $0.44 each How many items much money do you have left?
Answer:
$2.36
Step-by-step explanation:
0.44 x 8 = 3.52
5.88 - 3.52 = 2.36
$2.36
-Chetan K
What is the value of a? Enter the answer in the box.
Answer:
a = 25°
Step-by-step explanation:
60° and 3a - 15° are congruent because they are corresponding.
60 = 3a - 15
75 = 3a
a = 25°
-Chetan K
each ball has a diameter of 60mm
which has the smallest surface area?
Find the perimeter. Simplify your answer.
Answer:
3a+ 16
Hope this helps!
I'm confused on if it's 3 or 2
Answer:
it's 3 cause if u do 1 2 3 there are 3 hearts and they are broke up in half so 6
PLEASE HELP ME !! ILL MARK U BRAINIEST
hope you like my answer its 17
What is the equation of this line?
A y= 6x - 4
B y= 1/4 x -6
C y=6x - 1/4
D y= 4x - 6
Answer:
the answer is D pls brainliesttt
Measure these angles.
a)
b)
There are 60 pupils in the library. The boys are 14 more than the girls. How many girls are there in the library?
Answer:
32
Step-by-step explanation:
Trust me its hard to explain.
What is the value of x?
Answer:
x=23
Step-by-step explanation:
3x+4x+19=180 is the equation you would set up because the two angles added up would be 180 degrees.
:))
Gina Wilson all things algebra unit 4 homework 3 questions 12-15
Step-by-step explanation:
the essential thing to remember here (and please, burn this into your brain for life) : the sum of all angles in a triangle is always (really always) 180 degrees.
therefore, in 12 and 13 we only need to add all 3 angles, and their sum must be 180.
from there we get really all 4 answers.
the next thing to consider is when a triangle had two equal angles, then it is an isoceles triangle (the 2 sides leading away from these 2 angles are equally long). that gives us the answers for 14 and 15.
12.
3x + 18 + 7x - 58 + 2x - 8 = 180
12x - 48 = 180
12x = 228
x = 19
angle A = 3x+18 = 3×19 + 18 = 57+18 = 75 degrees
angle B = 7x-58 = 7×19 - 58 = 133-58 = 75 degrees
angle C = 2x-8 = 2×19 - 8 = 38 - 8 = 30 degrees
13.
8x - 17 + 19x + 4 + 5x + 1 = 180
32x - 12 = 180
32x = 192
x = 6
angle Q = 8x-17 = 8×6 - 17 = 48-17 = 31 degrees
angle R = 19x+4 = 19×6 + 4 = 114+4 = 118 degrees
angle S = 5x+1 = 5×6 + 1 = 30+1 = 31 degrees
14.
KL = 9x - 14
LM = 7x - 37
KM = 3x + 23
angle K = angle L
so, the sides LM and KM must be equally long. that gives us
7x - 37 = 3x + 23
4x = 60
x = 15
KL = 9x-14 = 9×15 - 14 = 135-14 = 121
LM = 7x-37 = 7×15 - 37 = 105-37 = 68
KM = 3x+23 = 3×15 + 23 = 45+23 = 68
15.
XY = 13x - 21
YZ = 8x - 6
XZ = x + 4
angle X = angle Z
so, the sides XY and ZY (or YZ) must be equally long. that gives us
13x - 21 = 8x - 6
5x = 15
x = 3
XY = 13x-21 = 13×3 - 21 = 39-21 = 18
YZ = 8x-6 = 8×3 - 6 = 24-6 = 18
XZ = x + 4 = 3+4 = 7
Evaluate each expression for a=7,b=4,and c=-3.
3a-5b =________
7-3a+5a+15 =________
15a^2-17〖bc〗^2 =________
Pls help me
Answer:
Step-by-step explanation: 3a-5b= 3(7)-5(4)
=21-20
=1
7-3a+5a+15=7-3(7)+5(7)+15
=7-21+35+15
=-14+50
=36
15a^2-17(bc)^2=15(7)^2-17(4)(-3)^2
=105^2-204^2
=210-408
=-198
Belvedere goes to the store and buys a garden statue for $30. The store has a sales tax rate of 7.8%. How much tax will Belvedere have to pay?
Answer:
$2.34
Step-by-step explanation:
30x0.078=2.34
7.
Fit a quadratic function to these three points:
(−1, −11), (0, −3), and (3, −27)
y = −4x^2 − 4x + 3
y = −4x^2 − 4x − 3
y = −4x^2 + 4x − 3
y = 4x^2 − 4x − 3
Answer:
y = −4x^2 + 4x − 3
Step-by-step explanation:
URGENT PLEASE HELP WILL MARK BRAINLIEST
Answer:
The correct answer will be option D.
Step-by-step explanation:
They both have a pretty fair chance of winning.
Shamika earns $25.75 one week. The next week she earns $37.80, and she spends $32.How much money does Shamika have from these two weeks?
Answer: $31.55
Step-by-step explanation:
$25.75 + 37.80 - 32.00 = $31.55
What is the slope of the graph of the given line?
Answer:
slop = 2/3
Step-by-step explanation:
slope = rise/run
Start at the lower left point (-2, -1).
We need to go to the upper right point (4, 3) by going only vertically (rise) and horizontally (run).
First we go up 4. The rise is 4.
Then we go right 6. The run is 6.
slope = m = rise/run = 4/6 = 2/3
slope = 2/3
What is the value of x?
Answer:
x = 21
Step-by-step explanation:
The angles are supplementary
therefor
(3x + 2) + (5x + 10) = 180
Combine like terms
8x + 12 = 180
subtract 12 from both sides
8x = 168
Divide both sides by 8
x = 21
Answer:
x = 21
Step-by-step explanation:
The angle adjacent to 3x + 2 corresponds to 5x + 10 and are congruent.
The 2 adjacent angles then lie on a straight line and sum to 180° , then
5x + 10 + 3x + 2 = 180
8x + 12 = 180 ( subtract 12 from both sides )
8x = 168 ( divide both sides by 8 )
x = 21
PLEASE HELP ME AND NOT JUST ANSWER FOR POINTS!!!
what is the gcf of 8 and 11?
To find the greatest common factor, line both numbers up and continue adding that specific number until you find two factors that correlate with both numbers.
With that being said, let's begin.
8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88
Simply add 8.
11: 11, 22, 33, 44, 55, 66, 77, 88
Simply add 11.
The greatest common factor of 8 and 11 is 88.