Answers
Answer:
The answer is B. 50°
Step-by-step explanation:
Got 100% on the test :)
The value of ∠MHJ is 50°. Therefore, option B is the correct answer.
We need to find the value of ∠MHJ.
What are vertically opposite angles?Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other.
Here, ∠MHJ and ∠KHL are two vertically opposite angles.
So, (x+15)°=(2x-20)°
⇒x=35°
Now, ∠MHJ=(2x-20)°=50°
Therefore, option B is the correct answer.
To learn more about the vertically opposite angles visit:
https://brainly.com/question/68367.
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Related Questions
Explain how economic forces such as employment, income, prices, interest rates, and consumer confidence influence the purchasing decisions you make as a consumer.
Answers
Answer: kindly check explanation
Step-by-step explanation:
As a consumer, a number of factors play a number of factors play a major role and guides my purchasing decision. These factors include :
Employment : Being employed or self employed and being unemployed definitely plays a role in one's income level. An unemployed individual may tend to be more conservative when deciding on what or what not to purchase.
Income : Employment has grades which could be defined based on income level of workers, individuals with higher wages or salaries will tend to boast more financial strength than those with meager income.
Prices : Cost of items may be used to interpret quality product in some cases, hence some individuals may be put off by high cost associated to a product while some may be attracted to them.
Interest rate: Interest rates are often unstable and as such may guide an individual's investment plan, by holding on when interest falls and financing when it rises.
Consumer confidence : The contentment individuals derive from using a product may be nurtured through previous experience and hence either builds consumer confidence in a certain brand or a loss or decline in confidence over such product.
You are at a family reunion and the cooler contains ten bottles of soda; four Sprite, three Dr. Pepper, and three Cherry Coke. Three times, you randomly pick up a drink for your grandmother. The first time, you get a Cherry Coke. The second and third times, you get Dr. Pepper. What is the probability of getting Dr. Pepper the fourth time and then an Cherry Coke the fifth time without replacement?
Answers
Answer:
Probability of getting Dr. Pepper the fourth time = [tex]\frac{1}7[/tex]
Probability of getting a cherry coke the fifth time = [tex]\frac{1}{3}[/tex]
Combined probability = [tex]\frac{1}{21}[/tex]
Step-by-step explanation:
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
It is given that first time a Cherry coke is chosen and it is not replaced.
So, number of cherry coke left = 2
Dr. Pepper is chosen twice and is not replaced, so
Number of Dr. Pepper left = 3 - 2 = 1
Total number of soda left = 10 - 3 = 7
So, probability of getting Dr. Pepper the fourth time = [tex]\frac{1}7[/tex]
Now, total number of soda left = 7 - 1 = 6
Probability of getting a cherry coke the fifth time = [tex]\frac{2}{6} = \frac{1}{3}[/tex]
The combined probability = probability of getting Dr. Pepper the fourth time multiplied with Probability of getting a cherry coke the fifth time
[tex]\Rightarrow \dfrac{1}7 \times \dfrac{1}{3} = \dfrac{1}{21}[/tex]
Please show all work and not just the answers.
Answers
Answer:
√113
Step-by-step explanation:
As per distance formula:
d = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]Points are:
A(-4, -3) and B(3,5)So the distance:
d = [tex]\sqrt{(3+4)^2 + (5+3)^2}[/tex] = [tex]\sqrt{7^2 + 8^2}[/tex] = [tex]\sqrt{49+64} = \sqrt{113}[/tex]Answer is √113
Answer:
√113
Step-by-step explanation:
B(3,5) , A(-4,-3)
distance between 2 points : d
d=√(x2-x1)²+(y2-y1)²
d=√(3-(-4)²+(5-(-3)²
d=√7²+8²
d=√49+64
d=√113
If the length is increased by 5 feet the area of the resulting rectangle is 60 square feet.what is the area of the original rectangle
Answers
Answer: No because my teacher told me so
Step-by-step explanation: A
plz help ASAP!!! WILL MARK U BRAINLIEST IF CORRECT
Answers
Answer:
I think it is A.
Step-by-step explanation:
On the Venn diagram, which would be classified as an IRRATIONAL number?
Answers
Answer:
The correct answer is B. 2π
Step-by-step explanation:
A rational number is one that can be represented using a fraction and an irrational number cannot be represented using a fraction.
-√4 = -2, which is a rational number
2π is not a rational number (we cannot express pi as a fraction exactly even though there are some close approximations)
2.2121... is also a rational number because it can be expressed as a fraction (21/99, or 7/33 simplified)
√225 is 15, which is a rational number
Therefore, the only irrational option is option B. 2π, which is your answer.
Hope this helps!
Expand (3+√5)(2+√5)
Give your answer in the form a+b√5 where a and b are integers.
Answers
Answer:
11 + 5[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Note that [tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 5
Given
(3 + [tex]\sqrt{5}[/tex] )(2 + [tex]\sqrt{5}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
3(2 + [tex]\sqrt{5}[/tex] ) + [tex]\sqrt{5}[/tex](2 + [tex]\sqrt{5}[/tex] ) ← distribute both parenthesis
= 6 + 3[tex]\sqrt{5}[/tex] + 2[tex]\sqrt{5}[/tex] + 5 ← collect like terms
= 11 + 5[tex]\sqrt{5}[/tex] ← in the form a + b[tex]\sqrt{5}[/tex]
with a = 11 and b = 5
5x + 3 = 7x – 1. sove for x,
Answers
Answer:
x = 2
Step-by-step explanation:
[tex]5x + 3 = 7x - 1 \\ 3 + 1 = 7x - 5x \\ 4 = 2x \\ \frac{4}{2} = x \\ 2 = x \\ x = 2[/tex]
someone answer this for me please ..
Answers
Answer: 9 times as large
Step-by-step explanation:
the original area: 15×15=225
the new area: (15×3)(15×3)=2025
2025/225=9
Hope this helps!! :)
Please let me know if you have any question
If a dozen cookies cost $18, what is the cost for 18 cookies
Answers
What i did is. First i divided the cost of a dozen. And i took of a dozen of 18 (your cookies) and was left with 6 cookies. i also was left with 9 after dividing so if you add 6+9 so your answer is 15
Answer: For 18 cookies, the cost is 27 dollars.
Step-by-step explanation:
So we are given that:
a dozen cookies cost $18
And we have to find how many 18 cookies cost. We can solve this problem by finding the ratio, or fraction of dollars per cookie or cookie per dollars.
12 cookies 6 2
---------------- = ----------- = ------------- So this means 2 cookies per 3 dollars.
18 dollars 9 3
Now if you increase the numerator by 9 (the numerator is cookies) and you find that there are 18 cookies, then how much money is there to pay?
This can be found by increasing the denom. by 9 as well:
3 x 9 = 27
So then the cost is 27 dollars, and that is how much you have to pay.
What is the answer to this problem (5x- 10) - 9
Answers
7/15 in decimal form
Answers
Answer:
0.46666666666667
Step-by-step explanation:
You could use long division, and see that 7/15 = 0.46666666667.
5x + 4x - x
9x
Explain mistake:
Correct answer:
2(x + 5)
2x + 5
Explain mistake:
Correct answer:
5 - (x - 2)
5 - x - 2
3 - x
Explain mistake:
Correct answer:
-3(2x - 5)
-6x - 15
Explain mistake:
Correct answer:
2x + 3 + 4x
9x
Explain mistake:
Correct answer:
x + 3x + 6x
[tex]10x {}^{2} [/tex]
Explain mistake:
Correct answer:
Answers
Correct answer:
1). 8x
2). 2x + 10
3). 7 - x
4). 6x + 3
5). 10x
Explanation:
1). 5x + 4x - x
= 9x - x
= 8x
Mistake: 9x - x is 8x not 9x
2). 2(x + 5)
= 2x + 10
Mistake: When multiply 2(x + 5) you have to take 2(x) + 2(5) = 2x + 10 not 2(x) + 5 = 2x + 5
3). 5 - (x - 2)
= 5 - x + 2
= 7 - x
Mistake: when a minus sign is in front of a parenthesis the sign in between the two terms in the parentheses needs to change. 5 - (x - 2) = 5 - x + 2 not 5 - x - 2.
4). 2x + 3 + 4x
= 6x + 3
Mistake: Combine like terms. Add the number with variable to the number with variable. And the number without variable to the number without variable.
5). x + 3x + 6x
= 10x
Mistake: When add the number with the same variable. Only the coefficient increase not the exponent itself. But when multiply, both the coefficient and exponent increase.
Could you explain to me how I'm supposed to solve this and all the steps?
Answers
Answer:
98 degrees
Step-by-step explanation:
The total sum of the angles of a pentagon is 540 degrees and the sum of the four given angles is 442 degrees. So, the answer is 540 - 442 = 98
How many solutions does the equation 4y − 4y − 12 = 14 − 2 have?
Answers
Answer:
NONE
Step-by-step explanation:
4Y-4Y-12=14-2
LETS ADD AND SUBTRACT
-12=12
WHICH ISNT TRU!
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Answer:
None
Step-by-step explanation:
The equation states after simplifying that -12 = 12 which is not a true statement.
Compare 3.7777 and 3.77. Use the inequality symbols < and > to write two inequality
statements using the given numbers that are true.
Answers
Answer:
3.7777 > 3.77 or 3.77 < 3.7777
please answer this question with explanation
Answers
HELPPPPP MEEEEE I WIIILLLLL GIVVVEEE BBRRRAIINNNNNLLLLIEEESTTTT!!!!! I pay $2.25 per gallon of gasIf I get a drink they take $.50 per gallon . What is my cost if I get 10 gallons of gas?
Answers
Answer:
$17
Step-by-step explanation:
10 x 2.25 = 22.5
10 x .50 = 5
22.5 -5 = 17
I think this is correct. Sorry if it isn't though!!!!!!
The value below lies between which two integers on a number line.
-V57
А.
-7 and -8
B.
7 and 8
С
56 and 58
D
-56 and -58
Help fast
Answers
Answer:
2(29D-28adn-29)
Step-by-step explanation:
Klay's lunch cost $6. This is $2 less than Ella's lunch cost. How much did
Ella's lunch cost? Select the correct solution method below, using x to
represent the cost of Ella's lunch.
Answers
Answer:
$4x
Step-by-step explanation:
$6 - $2 = $4
$4x
Answer:
X=6+2
Step-by-step explanation:
1.5
Is this number rational or irrational
Answers
Answer:
Rational.
Step-by-step explanation:
Many floating point numbers are also rational numbers since they can be expressed as fractions. For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction.
Half the perimeter of a rectangular room is 46 m, and its length is 6 m more than its breadth. What is the length and breadth of the room?
Answers
Answer:
26 m and 20 m
Step-by-step explanation:
Let the length of the room be l, the breadth be b and perimeter be P.
Given:
P/2 = 46 ml = b + 6 mSolutionSince P = 2(l + b), P/2 = l +b, we have following equations:
l + b = 46l = b + 6Substituting l in first equation:
b + 6 + b = 462b + 6 = 462b = 40b = 20 mThen the length is:
l = b + 6 = 20 + 6 = 26 mGiven x=-3, y=6, and z=-4 22-3y+4x=
Answers
Answer: -8
Explanation: It's a good idea to get into the habit of using parenthses
when substituting numbers in for variables.
Since x = -3 and y = 6, 22 - 3y + 4x is 22 - 3(6) + 4(-3).
3(6) is 18 so we have 22 - 18 + 4(-3).
4(-3) is - 12 so we have 22 - 18 + -12.
Now, 22 - 18 is 4 and 4 + -12 is -8.
Answer:
-8
Step-by-step explanation:
Subsitute the variable "y" with 6 and the variable "x" with -3. Once the variables are replaced with the right numbers, the equation should read 22- 3(6) +4(-3). Using PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) you should do what's in the parentheses first. -3 times 6 is -18 and 4 times -3 is -12. 22-18-12= -8
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1100
1200
1300
1400
1500
1600
1700
According to the table, how many hours of training would you need to have a
monthly pay of $1140?
A. 12
B. 4
C. 2
D. 14
Answers
A
B
B
B
B
B
B
Bv
I’m confused how do you simplify 25-9
Answers
Answer:
do you mean subtract?
Step-by-step explanation:
The answer is: 16
what is the answer to -1/8-2/7
Answers
Answer:
-23/56
Step-by-step explanation:
-1/8-2/7
= -7+8×-2
----------------
8×7
=-7-16/56
=-23/56
BTW. . This method is called the butterfly method.. in which we must cross multiply the numerators and denominators.. and multiply the denominator together (if they are co-primes) to get the LCM in the denominator of the sum..
The scale of a map is 1 : 100,000. The distance between two houses on the map is 3.2 cm. Find the actual distance, in kilometers, between the two houses?
Answers
Answer:
The actual distance between the two houses is:
3.2 km
Step-by-step explanation:
Proportions:
1cm ⇔ 100000 cm
3.2 cm ⇔ W cm
W = 3.2*100000/1
W = 320000 cm
1 km = 100000 cm
320000cm = 320000/100000 = 3.2km
Can you trace this figure without
lifting your pencil from the paper
and without retracing any line?
Trace through your answers to
the exercises in the order they
are given.
Answers
If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(4))?
Answers
Plug 4 in for g(x) and solve to get x=-7.Plug x=-7 in for f(x).
Answer:
-7
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=2x+7\text{ and } g(x)=-3x+5[/tex]
And we want to find f(g(4)).
So, find g(4) first:
[tex]g(x)=-3x+5\\g(4)=-3(4)+5[/tex]
Multiply:
[tex]g(4)=-12+5[/tex]
Add:
[tex]g(4)=-7[/tex]
Now, substitute:
[tex]f(g(4))=f(-7)[/tex]
Use the equation from f(x):
[tex]f(x)=2x+7\\f(-7)=2(-7)+7[/tex]
Multiply:
[tex]f(-7)=-14+7[/tex]
Add:
[tex]f(-7)=-7[/tex]
So:
[tex]f(-7)=f(g(4))=-7[/tex]
And that's our answer :)
Pam has 35 bags of coins. Some of the bags contain 6 gold coins, and the rest contain 8 silver coins. If Pam has 240 coins in all, how many bags of each type of coin does Pam have?
Answers
Answer:
Step-by-step explanation:
Multiply: 14(0.25). If you missed this problem, review Example 5.3.5.
Simplify: 100(0.2 + 0.05n). If you missed this problem, review Example 7.4.6.
Solve: 0.25x + 0.10(x + 4) = 2.5 If you missed this problem, review Example 8.6.8.