If angle ABD is 90 degrees. Select all of the angles that measure 42 degrees.
Angle 1
Angle 2
Angle 3
Angle 4
Angle 5
Answers
Answer:
Measure of angle 2 and angle 4 is 42°.
Step-by-step explanation:
From the figure attached,
m∠ABC = 42°
m(∠ABD) = 90°
m(∠ABD) = m(∠ABC) + m(∠DBC)
90° = 43° + m(∠DBC)
m(∠DBC) = 90 - 43 = 47°
Since ∠ABC ≅ ∠4 [Vertical angles]
m∠ABC = m∠4 = 42°
Since, m∠3 + m∠4 = 90° [Complimentary angles]
m∠3 + 42° = 90°
m∠3 = 90° - 42°
= 48°
Since, ∠5 ≅ ∠3 [Vertical angles]
m∠5 = m∠3 = 48°
m∠3 + m∠2 = 90° [given that m∠2 + m∠3 = 90°]
m∠2 + 48° = 90°
m∠2 = 90 - 48 = 42°
m∠3+ m∠4 = 90° [Since, ∠3 and ∠4 are the complimentary angles]
48° + m∠4 = 90°
m∠4 = 90 - 48 = 42°
Therefore, ∠2 and ∠4 measure 42°.
Related Questions
The volume of the rectangle prism shown below is 96 cubic feet. The dimensions of the prism’s base are 4 feet and 3 feet. What is the prism’s height in feet
Answers
Answer:
8feet
Step-by-step explanation:
Which operation will "undo" subtraction?
a. multiplication
b. subtraction
c. addition
d. division
Answers
Answer:
Addition
Step-by-step explanation:
Because if you have -6, just add 6 and then it will get undone
Answer:
addition
Step-by-step explanation:
hope it helps
a trader silds 5 mobiles for Rs 35840and had profit of 12 %. find the cist of price of each mobile
Answers
Answer:
[tex]\huge{\boxed{\sf{ 6400 }}}[/tex]
Step-by-step explanation:
Correction:
A trader sells 5 mobiles for Rs 35840 and had profit of 12% . Find the cost price of each mobile.
Solution:
Selling price of 5 mobiles = Rs 35840
Now, we have to find the selling price of 1 mobile. So, for the cost of 1 mobile , the cost of 5 mobiles is divided by 5.
i.e [tex]\frac{35840}{5} =[/tex] Rs [tex]7168[/tex]
We have,
Cost of 1 mobile = Rs 7168
Profit % = 12 %
Finding the cost price of each mobile :
[tex]\boxed{\sf{ CP = \frac{SP * 100}{100 + Profit percent}}}[/tex]
[tex]CP = \frac{7168 * 100}{100 + 12}[/tex]
[tex]CP = \frac{716800}{112}[/tex]
[tex]CP =[/tex] Rs [tex]6400[/tex]
Hope I helped!
Best wishes!
~[tex]\text{ TheAnimeGirl}[/tex]
Describe how to transform the graph of f into the graph of g. F(x)= sqrt(x) and g(x)= - sqrt(x).
A: reflect the graph of f across the y-axis
B: reflect the graph of f across the y-axis and then reflect across the x-axis.
C: reflect the graph of f across the x-axis.
D: The graph shifts left two units.
Answers
Answer: A reflect the graph of f across the y-axis
8.5(4+3h)-h simplified
Answers
Answer:
24.5h + 34
Step-by-step explanation:
8.5(4 + 3h) - h
= 34 + 25.5h - h
= 24.5h + 34
I hope this helped!
The simplified form of 8.5(4+3h)-h is 24.5 + 34.
What is a numerical expression?A numerical expression is in the form of variables and constants separated by the operation of addition and subtraction. We can also form numerical expressions from statements.
Given an expression in variable h which is 8.5(4+3h)-h.
First, we'll apply distributive law to get rid of the bracket and separate the different terms. There are two more laws they are associative law and commutative law.
Distributive law state that a(b+c) = ab + bc.
34 + 25.5h - h.
24.5h + 34.
Learn more about numerical expression here :
https://brainly.com/question/14642484
#SPJ2
How many points need to be removed from this graph so that will be a function?
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The answer is you have to remove 4 points.
There is 6 points in all and for a function it only needs two points to become a function. A function needs to be a that line that passes the vertical line test. For example: A circle is not a function because when you perform the vertical line test you'll see that many points share a common x-value and a function needs only one output in every input.
3x = -39 solve for x
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
x = -13
▹ Step-by-Step Explanation
3x = -39
Divide both sides by 3:
3/3 = 1x
-39/3 = -13
FINAL ANSWER:
x = -13
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
X is - negitave -42
Step-by-step explanation:
3- (-42) = -39
each ticket costs $34 If the venue needs to sell 86 tickets to break even, then how much money have they invested
in the concert?
Answers
Answer:
2924
Step-by-step explanation:
36
x 86
‐--------------
2924
The drama club is selling tickets to their play to raise money for the
show's expenses. Each student ticket sells for $6 and each adult ticket
sells for $11. The auditorium can hold at most 100 people. The drama
club must make no less than $770 from ticket sales to cover the show's
costs. If x represents the number of student tickets sold and y
represents the number of adult tickets sold, write and solve a system of
inequalities graphically and determine one possible solution.
Answers
Answer:
Student tickets sold 66
Adult tickets sold 34
Step-by-step explanation:
x=6. y=11
x+y=100. Multiply by -6
6x+11y=770 Then combine terms
5y=170 Divide 5 on both sides
y=34 Then do 100-34
x=66
This is the solution for the club to not earn anything but able to cover the fees.
The inequality form can be written as,
total revenue=66x+34y in this case total revenue=0
DO_ 1/2 of X is. please help
Answers
Answer:
x = 2
Step-by-step explanation:
Is it -1/2 or just 1/2 I'll just answer both
x = 4
So -1/2 of x or -1/2 of 4 is -2
And 1/2 of 4 is 2.
So the answer is most likely 2
and is probably point z
4/(-1/2) = -2
4/(1/2) = 2
Help. I’m failing math and I need to finish 15 khans by tomorrow
Answers
Answer:
80
Step-by-step explanation:
Factor the expression completly over the complex numbers x^4+10x^2+25
Answers
Answer:
Rewrite it in the form {a}^{2}+2ab+{b}^{2}a
2
+2ab+b
2
, where a={x}^{2}a=x
2
and b=5b=5.
{({x}^{2})}^{2}+2({x}^{2})(5)+{5}^{2}(x
2
)
2
+2(x
2
)(5)+5
2
2 Use Square of Sum: {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}(a+b)
2
=a
2
+2ab+b
2
.
{({x}^{2}+5)}^{2}(x
(x^2 + 5)^ 2
Step-by-step explanation:
Mario needs 32.5 m of chain link fence to enclose his garden. The cost of the fence is $6.88 per meter.
What is Mario's total cost?
$22.35
$22.36
$223.50
$223.60
Answers
4. Jeff and his brother Joe are saving money
to buy a video game that costs $52. Jeff
earns $8 each week mowing lawns and
spends $2 of it. Joe earns $10 each week
and spends $3 of it. Which expression can
be used to find out how many weeks it will
take for them to save for the video game?
52-[(8 + 2) - (10 + 3)]
b. 52 [(8-2) - (0 - 3)]
52 +[(8-2) + (10 - 3)]
d. 52 + [(8 + 2) + (10 + 3)1
a.
Answers
Answer:
52/[(8 - 2) + (10 - 3)]
Step-by-step explanation:
Jeff earns $8 and spends $2 each week.
Each week he keeps (8 - 2).
Joe earns $10 and spends $ each week.
Each week he keeps (10 - 3).
The total amount they keep each week is
(8 - 2) + (10 - 3).
If you divide the cost of the game by the amount they keep each week, you get the number of weeks.
Answer: 52/[(8 - 2) + (10 - 3)]
ASAPPPP I NEED IT TODAYY
Answers
Answer:
41.25 ft for the area
Step-by-step explanation:
this is because when 1/4, 3/4, and 1/2 are added you get 1.5in =10.5 ft
and the other side with be 3.75in = 30.75 ft and added 10.5+30.75 =41.25
In a classroom of 50 students 30 brought apples to school while 14 brought oranges to school. If 18 students brought niether fruit to school, how many brought both apples and oranges to school?
Answers
Step-by-step explanation:
Hope it helps man ..... ..
Alberto wants to keep their favorite tree from being uprooted by heavy winds. They plan to tie 3 sections of rope to a band on the trunk of the tree, 5 feet above the ground. They will tie each section of the rope to a stake in the ground 12 feet out from the base of the tree. How much rope will he need altogether?
Answers
Answer:
39 ft
Step-by-step explanation:
Using the description as a guideline I have drawn out the situation (badly drawn) as seen in the picture below. From the picture, we see that we need to find x which is the length of one of the ropes. Once we have this length we simply multiply it by 3 to find out how much rope we need altogether. Since this is the diagonal of a triangle we can use the Pythagorean theorem to solve for x.
Pythagorean theorem: [tex]a^{2} +b^{2} = c^{2}[/tex] .... which a and b are the two sides while x is the diagonal.
[tex]5^{2} +12^{2} = x^{2}[/tex]
[tex]25 + 144 = x^{2}[/tex]
[tex]169 = x^{2}[/tex] ... now we square root both sides
[tex]13 = x[/tex]
Now that we have the length of one of the ropes we simply multiply this by 3 to find the total amount of rope needed.
13 * 3 = 39 ft
Simplify. (6+7i)(3−4i) Enter your answer, in standard form, in the box.
Answers
Answer: 46-3i
Step-by-step explanation: Use the FOIL method, (a+b)(c+d)=ac+ad+bc+bd. Collect like terms then simplify.
(6+7i)(3−4i)
18−24i+21i+28
(18+28)+(−24i+21i)
46-3i
- Hope this helps, have a blessed and wonderful day! :-)
In the standard form we can write (6 + 7i)(3 − 4i) as (- 3i + 46).
What are complex numbers?
A complex number is a number of the form a + bi, where [a] and [b] are real numbers and [i] is equal to [tex]\sqrt{-1}[/tex].
Given is the following complex expression -
(6+7i)(3−4i)
We have -
(6 + 7i)(3 − 4i)
On expanding, we get -
6(3 - 4i) + 7i(3 - 4i)
18 - 24i + 21i - 28i²
18 - 3i - 28i²
18 - 3i - 28 (-1)
18 - 3i + 28
46 - 3i
- 3i + 46
Therefore, in the standard form we can write (6 + 7i)(3 − 4i) as (- 3i + 46)
To solve more questions on complex numbers, visit the link below-
https://brainly.com/question/617146
#SPJ2
Divide $28 in the ratio 5:2:7.
Answers
Answer:
10:4:14Step-by-step explanation:
5+2+7=14
28/14=2
2*5=10
2*2=4
2*7=14
10:4:14
Lorna has $60 and her sister has $120. Lorna
saves $7 per week, and her sister saves $5 per
week. Which equation and solution represent
the number of weeks, w, it will take for the girls
to have the same amount of money?
Answers
Step-by-step explanation:
whats theamountof money?
Please help me with this assessment. I messed this class due to surgery. It’s due today.
Answers
Answer:
1) X = 12
2) 10 = Y
3) K = -3
4) N = -2
5) X = 5
6) X = -1.2 (plz double check)
7) W = 0.6
8) N = -0.28
9) I forgot how to do that
10) X = 7
Step-by-step explanation: What's your teacher trying to pull on you with those weird numbers? Double check my answers for those but everything should be correct. Let me know.
A bag contains 4 blue marbles, 9 green marbles, and 5 red marbles. One marble is drawn from the bag. What is the probability that the marble drawn is not blue?
Answers
Answer:
4blue marble+9 green marble+5 red marble=18marble totle
1 marble probility=1/17
One line segment m is (3x + 5) units long and line segment n is (x - 10). What is the value of r if line segments m and n are congruent?
Answers
Answer:
I believe it is -17.5. Tell me if I am wrong
Step-by-step explanation:
3x + 5 = x - 10
-x -5 -x -5
2x = -15
x = -7.5
3(7.5) + 5
= 22.5 + 5
= -17.5
Billy wanted to write a ratio of the number of apples to the number of peppers in his refrigerator. He wrote 1 : 3. Did Billy write the ratio correctly? Explain your answer.
Answers
Answer:
No.
Step-by-step explanation:
It should be 3:1 since the number of apples comes first in the ratio.
Answer:
yes, because if you express it as 1:3 or 1/3 is the same thing
by selling some crates of soft drink for 600 Naira a dealer makes a profit of 50% how much did he pay for the drinks
Answers
Answer:
300
Step-by-step explanation:
50% means half. If he payed half for the drinks, the drinks would have cost him 300
If x - 2 is a factor of x2 + 3x + k, what is the value of k?
Answers
Answer:
-10
Step-by-step explanation:
What is the sum?
23.85 + 7.42 + 16.15
Enter your answer in the box.
47.42
Answers
Answer:
47.42
Step-by-step explanation:
47.42 is ur answer
Just add them vertically and line up the decimal points.
23.85
7.42
16 .15
---------
47. 42
U KNOW WHAT IM GOING TO SAY HELPPPPPP
Answers
Answer:
a and c
Step-by-step explanation:
Answer:
0.67 and 0.665
Step-by-step explanation:
1. Find the TRUE statement.
A. A graph will always eventually touch an asymptote.
B. If a graph has a vertical asymptote, it cannot have a horizontal asymptote.
C. If there is an asymptote at x = 0, then x can never equal 0.
D. A graph will get further and further from its asymptote.
Answers
Answer:
D
Step-by-step explanation:
They reason is because it makes sense. Do some more research and you will understand
A drama club made $3,200 from a school play. Seventy-five percent of that amount came from ticket sales. Identify the values of the variables in the model. Then use the model to find the amount of ticket sales.
a =
b =
The amount of ticket sales is $
.
Answers
Answer:
a= 25
b= 800
the sale amount =2,400
Answer:
a is 25 which thats half b 800 the total amount of tickets is 2,400
Step-by-step explanation: