One angle of an isosceles triangle measures 34º. Which other angles could be in that
isosceles triangle?
Answer:
112º and 73º
Step-by-step explanation:
34º could be base angle
Base angles are equivalent
Vertical angle would be = 180 - 34 - 34
Vertical angle = 112º
34º could be vertical angle
Base angles are equivalent
2x = 180 - 34
Base angle = 73º
Express the following numbers in usual form:
(i) 8.02×10^-5
(ii) 4.5×10^3
(iii) 7×10^-5
(iv) 1.0001×10^8
(v) 4.3×10^12
(vi) 3.61492×10^5
(i) Given number = 8.02×10^-5
⇛ 8.02/100000
⇛ (802/100)/100000
⇛ 802/10000000
⇛ 0.0000802
The usual form of 8.02×10^-5 is 0.0000802
(ii) Given number = 4.5×10³
⇛4.5×1000
⇛ (45/10)×1000
⇛ 45×100
⇛ 4500
The usual form of 4.5×10³ is 4500
(iii) Given number = 7×10^-5
⇛ 7/100000
⇛ 0.00007
The usual form of 7×10^-5 is 0.00007
(iv) Given number = 1.0001×10⁸
⇛ 1.0001×100000000
⇛ (10001/10000)×100000000
⇛ 10001×10000
⇛100010000
The usual form of 1.0001×10⁸ is 100010000
(v) Given number = 4.3×10¹²
⇛ 4.3×1000000000000
⇛ (43/10)×1000000000000
⇛ 43×100000000000
⇛ 4300000000000
The usual form of 4.3×10¹² is 4300000000000
(vi) Given number = 3.61492×10⁵
⇛ 3.61492×100000
⇛ (361492/100000)×100000
⇛ 361492
The usual form of 3.61492×10⁵ is 361492
Help pleaseeee :,) 100 points
Answer:
x = 125
Step-by-step explanation:
Given equation:
[tex]\log_224-\log_23=\log_5x[/tex]
[tex]\textsf{Apply the Quotient log law}: \quad \log_ax - \log_ay=\log_a\frac{x}{y}[/tex]
[tex]\implies \log_2\left(\dfrac{24}{3}\right)=\log_5x[/tex]
[tex]\implies \log_28=\log_5x[/tex]
Rewrite 8 as 2³:
[tex]\implies \log_2(2^3)=\log_5x[/tex]
[tex]\textsf{Apply the Power log law}: \quad \log_ax^n=n\log_ax[/tex]
[tex]\implies 3\log_22=\log_5x[/tex]
[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]
[tex]\implies 3(1)=\log_5x[/tex]
[tex]\implies \log_5x=3[/tex]
[tex]\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b[/tex]
[tex]\implies 5^3=x[/tex]
[tex]\implies x=125[/tex]
Solve for x in the equation X2 - 12%+ 36 = 90.
X
X = 6+3/10
Ox=6+2/7
<
= 12+ 3922
X= 12+3/10
X=
Answer:
x = 6 ± 3√
Step-by-step explanation:
Step-by-step explanation:Since this is an unfactorable expression, apply the Quadratic Formula, -b ± √b² - 4ac\2a,
The solutions to the equation are:
x = 6 + 3 √(10) or x = 6 - 3 √(10)
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
x² - 12x + 36 = 90
Subtracting 90 from both sides.
x² - 12x - 54 = 0
To solve for x, we can use the quadratic formula.
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation
ax² + bx + c = 0.
In this case, a = 1, b = -12, and c = -54.
Substituting these values into the formula.
x = (-(-12) ± √((-12)² - 4(1)(-54))) / 2(1)
x = (12 ± √(144 + 216)) / 2
x = (12 ± √(360)) / 2
x = 6 ± 3 √(10)
Therefore,
The solutions to the equation are:
x = 6 + 3 √(10) or x = 6 - 3 √(10)
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ7
I NEED THIS ANSWERED ASAP
Which point is a solution to the system of equations?y=2x+2y=3x
A: (0,2)
B: (0,0)
C: (2,6)
D: (6,2)
Answer: B
Step-by-step explanation:
Which table is y a function of x?
Answer:
The first chart
Step-by-step explanation:
Check image for question
Answer:
a. 18
Step-by-step explanation:
a= 2
b= 3
[tex]ab^{2} =(2)(3)^{2} =2(9)=18[/tex]
Hope this helps
a=2
b=3
Now
a*b=ab²2*3=2(3)²2*3=2(9)2*3=18help! provide the missing statement and reasons for the following proof:
Theorem: opposite sides of parallelograms are congruent
Given: Parallelogram ABCD with diagonal AC
Prove: AB ≅ CD and AD ≅ BC
Answer:
So I figured it would be easier if I sent the pics instead. Hope it helps
Maya ate breakfast and wanted to leave her waitress a 15% tip. Her meal cost
$7.50. How much money should Maya leave for the TIP?
Answer:
$1.13
Step-by-step explanation:
You multiply 0.15*7.5, and you get 1.125, which you add up to $1.13
What is the domain and range .
Use substitution to solve each system of equations.
=++=
Answer:
I can only see =++= so please repost your answer so i can edit my answer as well
Step-by-step explanation:
For any parallelogram what is not always true
Answer:
The diagonals are congruent.
Step-by-step explanation:
Answer:
1) The diagonals are congruent.
3) The opposite angles are congruent.
4) The opposite sides are parallel.
Step-by-step explanation:Two pairs of opposite sides are congruent. The diagonals are perpendicular to each other. 4 In parallelogram QRST, diagonal is drawn. Which statement must always be true?
if it does not work sorry
Please help
7a-4[2-(2a-1)]
Answer:
15a - 12
Step-by-step explanation:
7a - 4 [ 2 - (2a - 1) ] ← distribute parenthesis inside the bracket by - 1
= 7a - 4 [ 2 - 2a + 1 ]
= 7a - 4 (- 2a + 3) ← distribute parenthesis by - 4
= 7a + 8a - 12 ← collect like terms
= 15a - 12
A book sold 35,100 copies in its first month of release. Suppose this represents 8.8% of the number of copies sold to date. How many copies have been sold to date?
Answer:
561,972 copies
Step-by-step explanation:
MATH-
I need help and I can’t find any sadly. Help!!
Answer:
Step-by-step explanation:
for 1. The addition property of equality esssentially means that if you were to add/subtract the same value to both sides of the equation, the equation would remain equal. this would be associated with 3. since adding 12 to both sides would give x on one side and 16 on the other which is equal to x=16
for 2. "given" just means the problem, so it is the 1st option. it just means "given the problem..."
for 3. collectiing like terms is the addition of -5x +6x. since they are on the same side eof the equation, and are in the same measurements (of x) they can be combined to eqaul positive x, this is represented by option 2
Look at the translation of the shape. Describe the translation that moves EFGH to E'F'G'H'.
3 boxes left 4 boxes up
4 boxes right 3 boxes up
4 boxes left 3 boxes up
Answer:
4 boxes left 3 boxes up.
Step-by-step explanation:
To join the tennis club, there is a $18.50 initial fee and a $1.10 yearly fee. What would be the value of the y-intercept in this situation?
Y = 18.50
Please tell me if it is right XD <3
Rewrite the equation y + 6 = -5(x + 3) into general form (ax + by + c = 0)
Work Shown:
y + 6 = -5(x + 3)
y + 6 = -5x - 15
y + 6 + 5x + 15 = 0
5x + y + 21 = 0
The equation is now in the form ax+by+c = 0 where a = 5, b = 1, c = 21.
Answer:
5x + y = -21
Step-by-step explanation:
y + 6 = -5x - 15
5x + y + 6 = -15
5x + y = -21
In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday. This is an increase on the average of `8.1` hours per workday in 2014. What is the percent change from 2014 to 2019? Round to the nearest tenth of a percent.
Answer 2019 /0.0047 /2014/ 0.493
Step-by-step explanation:
The percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.
What is Percent Change?A percentage is a portion of a whole that is stated as a number between 0 and 100 as opposed to being expressed as a fraction.
The percentages of everything are 100%, nothing is 0%, 50% of something is 50%, and nothing is 0%.
Given:
In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday.
This is an increase on the average of `8.1` hours per workday in 2014.
So, Percent change = (Final value - initial value) / initial value x 100
Percent change = 8.5 - 8.1 / 8.1 x 100
Percent change = 4.93%
Thus, the percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.
Learn more about the percent change here:
brainly.com/question/809966
#SPJ2
X^2-18x complete the square
[tex]x^2 -18x \\\\=x^2 - 2 \cdot 9x +9^2 -9^2\\\\=(x-9)^2-81[/tex]
Solve for the x
[tex]\frac{36}{x}[/tex] = -9
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
[tex]:\implies\sf{ \frac{36}{x} = - 9} \\ \\ :\implies\sf{ \frac{36}{ 9} = -x} \\ \\ :\implies\sf{4 = -x} \\ \\ :\implies\sf{x = -4}[/tex]
. What is the second step in solving the following equation: 3(2x - 1) = 15, if the
Distributive property is used as the first step.
Mikayla designed a survey to determine the number of people expected at opening night of a community theater. The community has about 5,000 members. She selected a sample of the first 25 parents dropping off actors during theater rehearsal. Which best explains Mikayla’s sample? random and biased random and unbiased nonrandom and biased nonrandom and unbiased.
The sample is based on the first 25 parents dropping off actors during theater rehearsal hence the sampling method is non random and biased.
A non random sample refers to a sampling method that is not based on chance alone. A biased sampling is one in which some members of the population are more likely to be selected thereby excluding the others.
Since the sample is based on the first 25 parents dropping off actors during theater rehearsal, the sampling method is non random and biased.
Learn more: https://brainly.com/question/24842573
Answer:
its nonrandom and biased
Step-by-step explanation:
so you don't have to read the other guys answer
BRAINLYEST PLUS 5 POINTS
PLEASE DO STEP BY STEP!:)
Evaluate 12x-3(3x-5)+24 when x = 2
Answer:
Step-by-step explanation: All we are doing here is inserting 2 in place of all the x variables. So that is written as 12(2)-3(3(2)-5)+24. Next, we follow the order of operations to solve
1) Multiply 3 by 2 and subtract by 5 inside the parenthesis = 12(2)-3-1+24
2) Multiply 12 by = 24-3+1+24
3) subtract 3 from 24 = 21+24
4) Add the final two terms = 45
MARK BRAINLIEST
a large bottle of juice contains 500 milliliters of juice. a medium bottle contains 70% as much juice as the large bottle. how many milliliters of juice are in the medium bottle.(can you include a number line? thanks!)
Answer:
350 millilitres
Step-by-step explanation:
70/100×500=350
(6p+5)×5-6p) expansion using special algebraic identit
The graph represents the fees in thousands of dollars, y, depending on the amount invested in millions, x, with one financial investment firm.
Over what interval is the change constant?
[0, 5)
[1, 5)
[0, 20)
[1, 20)
Help please. I dont know how to do this :((
Answer:
You need the distance of all four sides so that is:
2 * (5y +1) + 2 * (2y -3) which equals
10y + 2 + 4y -6 and that equals
14y -4
Step-by-step explanation:
please help i will give brainliest
Answer:
because AB//DE
so DÊC=BÂC ( 2 straight lines are parallel and have the same internal angle)
because ACD is the outer angle of the triangle ABC so ACD= ABC+BÂC
because DÊC=BÂC
so ACD= ABC+ DÊC
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the triangle shown.
square units
Reset
Next
Plz help
Step-by-step explanation:
the area of a triangle is baseline × height / 2.
now, we need to count the units : how long is the baseline, he long is the height from the baseline to the top vertex ?
I find the baseline is 14 units long.
the height is 7 units.
so, the area is
14×7/2 = 7×7 = 49 square units.