Answer:
42
Step-by-step explanation:
khanacademy
The measure of angle ABC by the given data is 57 degrees.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
∠ABD=70∘
Now,
To find the measure of angle ABC, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We can write an equation using this fact and the given information:
m∠ABD + m∠CBD + m∠ABC = 180 70 + (5x + 13) + (3x + 33) = 180
To solve for x, we need to simplify and isolate it by performing the inverse operations on both sides. We can do this by following these steps:
Step 1: Combine like terms on both sides of the equation.
70 + 5x + 13 + 3x + 33 = 180 8x + 116 = 180
Step 2: Subtract 116 from both sides of the equation.
8x + 116 - 116 = 180 - 116 8x = 64
Step 3: Divide both sides by 8 to get x by itself.
8x / 8 = 64 / 8 x = 8
Now that we have the value of x, we can plug it into the expression for m∠ABC and simplify:
m∠ABC = 3x + 33 m∠ABC
= 3(8) + 33 m∠ABC
= 24 + 33 m∠ABC = 57
Therefore, by algebra the answer will be 57 degrees.
More about the Algebra link is given below.
brainly.com/question/953809
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۔what set builder notation is = (2,3,5,7,11)this p
Given:
The set is:
[tex]\{2,3,5,7,11\}[/tex]
To find:
The set builder notation for the given set.
Solution:
Consider the given set:
[tex]S=\{2,3,5,7,11\}[/tex]
The element of given set are 2, 3, 5, 7, 11 and so on. These area the prime numbers.
If x defines each element of the set then x must belongs to P which is the set of prime numbers. So, the given set can be written as
[tex]S=\{x|x\in P\}[/tex]
Therefore, the set builder notation for the given set is [tex]\{x|x\in P\}[/tex].
Can yall help me with this!!
PLEASE HELP ITS URGENT!!
Answer:
answer is D from what I got
Please help me. 4^(x+1)+2^(x+1)+2^x-1=0
Answer:
x = -2Step-by-step explanation:
[tex]4^{x+1}+2^{x+1}+2^x-1=0[/tex][tex]4*2^{2x}+2*2^x+2^x-1=0[/tex]2ˣ = t4t² + 3t - 1 = 04t² + 4t - t - 1 = 04t(t + 1) - (t + 1) = 0(t + 1)(4t - 1) = 0t = -1 (discounted as 2ˣ can't be negative)t = 1/42ˣ = 1/42ˣ = 2⁻²x = -2Write an equation for the line in slope-intercept form.
Answer:
y= 6/5x +0
Step-by-step explanation:
That just be how it is
Answer: y= 3/2 x
Step-by-step explanation:
use y = mx + b
need help with this problem
Answer:
it's either b or d.
Step-by-step explanation:
I'm not entirely sure, but its one of those.
The average of 9 scores is x. If the tenth score is 36 points more than x, by how many points will the tenth score raise the average?
Answer:
3.6
Step-by-step explanation:
The average of 9 scores is x.
average = (sum of scores)/(number of scores)
x = (sum of scores)/9
sum of scores = 9x
The sum of the 9 scores is 9x.
The tenth score is 36 more than x, so it is x + 36.
The sum of the 10 scores is 9x + x + 36 = 10x + 36.
The average of the 10 scores is (10x + 36)/10 = x + 3.6
The difference of averages is
x + 3.6 - x = 3.6
The Martins' swimming pool is a square
and is in the center of a square plot that
is 34 meters on a side. They have 1,092 square meters of lawn.
How long is one side of the pool ?
Answer: 8
Step-by-step explanation:
x^2 = (34•34)-1,092
x^2= 1,156-1,092
x^2= 64
x=8
HELP!! no scams or i will report.
Answer:
A (1,0)
B (0, -3)
C (-6, 5)
D (-3, -5)
E (-1, 4)
Step-by-step explanation:
Answer:
A (1,0)
B (0,-3)
C (-6,5)
D (-3,-5)
E (-1,4)
Step-by-step explanation:
The heights (in inches) of males in the United States are believed to be Normally distributed with mean LaTeX: \muμ. The average height of a random sample of twenty-five American adult males is found to be H = 69.72 inches and the standard deviation of the twenty-five heights is found to be s = 4.15. The standard error of H is = 4.15. A 90% confidence interval for ? is?
HELP I DONT GET THIS
Four friends have
boba tea. They cost
$8 total for four. They
Leave a 15% tip. What
is the total they spent?
they leave a tip of $1.20, the total would be $9.20
Answer:
$9.2
Step-by-step explanation:
Four friends spend 8 dollars. However, they also leave a 15% tip. So, you will have to multiply .15 by 8. However that is not it. After, you have to add the product of that with 8. Which will give you 9.2.
Please answer ASAP I NEED HELP
Answer:
450 cm^3
Step-by-step explanation:
( 1/2 (5+7.5) 6 ) 12
Jessicawants to buy a ring for her friend Sarah. She knows Sarah's finger has a diameter of 15mm. The jewelry store sizes their rings by radius. What size ring shouldJessica purchase?
Answer:
14.5
Step-by-step explanation:
.................................
Two barrels contain equal quantities of honey. From one barrel, 37 gallons of honey are drawn. From the other barrel, 7 gallons of honey are drawn. The quantity remaining in one barrel is now seven times that remaining in the other barrel. How much did each barrel contain at first?
At the start, each barrel has the same amount of honey, so:
Barrel 1 has X gallons
Barrel 2 has X gallons.
from 1, they extract 37 gallos, and from 2 they extract 7 gallons, so now:
Barrel 1 has X - 37
Barrel 2 has X- 7
and now, the quantity in the Barrel 2 is seven times the quantity in the barrel 1, so:
X- 7 = 7*(X - 37)
we need to find X.
X - 7 = 7*X - 37*7 = 7*X - 259
X - 7*X = 7 - 259
-6*X = -252
X = 252/6 = 42
So at the start, each barrel has 42 gallons of honey.
Jillene spends $240 on a new business the first month. If she spends 24% more each month, approximately how much will she spend (total sum) in 6 months?
Answer:
Jillene will spend $345.60 in 6 months.
Step-by-step explanation:
To find the answer we will turn 24% into a decimal. 24% ÷ 100 = 0.24. Now multiply 0.24 by $240 and we get $57.60. Because we are trying to find how much Jillene will spend in 6 months, we will multiply $57.60 by 6, which is $345.60. Therefore, $345.60 is our answer.
Answer: $1785.60
Step-by-step explanation:
240 x 6 = 1440
240 x 0.24 = 57.6
57.6 x 6 = 345.6
1440 + 345.6 = 1785.60
Final Answer: $1785.60
Nancy works at Yogurty's for $5.35 an hour. Last week, she worked 30 hours.
a) How much did she earn?
b) Nancy received a 25¢/hour raise this week. She worked 25 hours. How much did she earn?
please find the sum or difference of (-37) - (-38)
will give brainliest
Step-by-step explanation:
(-37)-(-38)
=(-37)+38
=1
HELP ASAP PLEASEEEE!
Answer:
The answer I think would be 8.
Step-by-step explanation:
PLEASE HELP ASAP THANK YOUU: A unicycle wheel makes five rotations. The unicycle travels 37.94 feet. Find the diameter of the wheel in inches.
Show your work and write your answer in a sentence.
Answer:
diameter of the wheel = 28.98 in (2 d.p.)
Step-by-step explanation:
Given information:
A unicycle wheel makes five rotationsThe unicycle travels 37.94 feetCircumference of a circle = πd (where d is the diameter)
One rotation of the wheel is equal to the circumference of the wheel.
Therefore, 5 rotations is equal to the sum of 5 circumferences.
To find the diameter of the wheel in feet, equate the expression for 5 circumferences to the total distance traveled and solve for d:
[tex]\begin{aligned}\textsf{5 circumferences} & = \textsf{total distance traveled}\\\implies 5 \pi d & = \sf 37.94\: ft\\d & = \sf \dfrac{37.94}{5 \pi}\\d & = \sf 2.415335416... \:ft \end{aligned}[/tex]
As 1 foot = 12 inches, multiply the found diameter in feet by 12 to calculate the diameter in inches:
[tex]\begin{aligned}d & =2.415335416... \times 12\\\implies d & = \sf 28.98\:\:in\:(2\:d.p.)\end{aligned}[/tex]
Therefore, the diameter of the wheel is 28.98 in (2 d.p.).
"A supplier of digital memory cards claims that no more than 1% of the cards are defective. In a random sample of 600 memory cards, it is found that 3% are defective, but the supplier claims that this is only a sample fluctuation. At the 0.01 level of significance, test the supplier's claim that no more than 1% are defective."
Answer:
Both the values fall in the critical region so we reject H0: p ≤ 0.01 and conclude that the results are significantly different from chance identification and it is not a sample fluctuation.
Step-by-step explanation:
1) Formulate the hypothesis
H0: p ≤ 0.01 against the claim Ha: p > 0.01
2) Choose the significance level ∝= 0.01
3) The test statistics under H0 is
z= x -np /√npq ( without continuity correction)
z= x ± 1/2 -np /√npq ( with continuity correction)
4) the critical region is z> ±2.33 because the alternate hypothesis is stated on greater than basis.
5)Computations:
Z= x -np /√npq ( without continuity correction)
Z= 6- 600( 0.03)/√ 600( 0.03)(0.97)
z= - 2.82 ( without continuity correction)
z= x ± 1/2 -np /√npq ( with continuity correction)
Z= (6-0.5)- 600( 0.03)/√ 600( 0.03)(0.97)
z= -12.5/4.1785
z= -0.29915 ( with continuity correction)
6) Both the values fall in the critical region so we reject H0: p ≤ 0.01 and conclude that the results are significantly different from chance identification and it is not a sample fluctuation.
help please ASAP ILL GIVE BRAINLIST
Answer:
1) A transformation that is not a rigid motion results in a change in shape size.
2) Translation of -3/6
Find the area of a rectangle that is 7 cm long and 3 cm wide. You can use the tool to help you solve. 7 cm2 10 cm2 20 cm2 21 cm2
Answer:
21sq
Step-by-step explanation:
multiply the l times the w which would be 3x7 and get 21.
Answer:
21 cm
Step-by-step explanation:
please teash me how to do
Answer:x=40
Step-by-step explanation: So since we know that AD is parallel to BC We know that M<c and M<a are congruent so we can use this equation to solve for x
2x-20= x+20
+20 +20
2x=x+40
-x -x
x=40
Below are two parallel lines with a third line intersecting them.
X = ?
PLEASE I WILL GIVE BRAINLIEST
Answer:
easy....
Step-by-step explanation:
im in 5th grade.... may i plz still have brainlest???
Write an equation in slope intercept form of the line that passes through the points (4,13) and (8,18)
A. y=2.5x+3
B. y=1.5x+7
C. y=2x+5
D. y=1.25x+8
Answer:
y=5/4x+8 Answer Choice D).
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(18-13)/(8-4)
m=5/4
y-y1=m(x-x1)
y-13=5/4(x-4)
y-13=5/4x-20/4
y-13=5/4x-5
y=5/4x-5+13
y=5/4x+8
80 is what percent of 120
Answer:
it is 66.67 so 67%
Step-by-step explanation:
:)))))))
Answer:
66.67%
Step-by-step explanation:
Someone help me please!
Answer:
[tex]50 \leq x \leq 350\\[/tex]
Step-by-step explanation:
Please answer!
No links. No links to pictures, no fake answers. Please don’t make my day worse than what it is. Please answer correctly thank you!!!
Answer:
I would go with option 4
Step-by-step explanation:
Answer:
[tex]\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}[/tex]
[tex]\frac{x}{sin25} = \frac{32}{sin90}[/tex]
[tex]x = \frac{32sin25}{sin90}[/tex]
[tex]x = 13.5[/tex]
Hope this helps! Have a great day... please mark as brainliest :0 :))
Step-by-step explanation: