Answers
Answer:
The value of x = 7
Step-by-step explanation:
Given the right triangle
Right angle = 90°α = (4x+7)°β = (8x-1)°We know that the sum of angles of a triangle is 180°.so
Right angle + α + β = 180°
90° + 4x+7 + 8x-1 = 180
Group like terms
[tex]4x+8x+90+7-1=180[/tex]
Add similar elements: :4x+8x=12x
[tex]12x+90+7-1=180[/tex]
[tex]12x+96=180[/tex]
[tex]12x=84[/tex]
Divide both sides by 12
[tex]\frac{12x}{12}=\frac{84}{12}[/tex]
[tex]x = 7[/tex]
Therefore, the value of x = 7
Related Questions
It is given that p varies inversely as q. If p = 12 and q = 45 find p, if q is 135.
Answers
Answer:
[tex]p =4[/tex]
Step-by-step explanation:
Given
Variation: Inversely
[tex]p = 12[/tex] when [tex]q = 45[/tex]
Required
Determine p when [tex]q = 135[/tex]
First, we need to determine the relationship between p and q
Since, it is an inverse variation.
The relationship is:
[tex]p\ \alpha\ \frac{1}{q}[/tex]
Convert to an equation
[tex]p= k *\frac{1}{q}[/tex]
[tex]p= \frac{k}{q}[/tex]
Where k = constant of variation
Make k the subject
[tex]k = p * q[/tex]
When [tex]p = 12[/tex] and [tex]q = 45[/tex]
[tex]k = 12 * 45[/tex]
[tex]k = 540[/tex]
To solve for p when q = 135
Substitute 135 for q and 540 for k in [tex]p= \frac{k}{q}[/tex]
[tex]p = \frac{540}{135}[/tex]
[tex]p =4[/tex]
What is the slope and y-intercept of the equation y + 8 = 6x Question 6 options: slope: 6; y-intercept: 8 slope: -6; y-intercept: 8 slope: 6; y-intercept: -8 slope: -6; y-intercept: -8
Answers
Answer:
slope: 6; y-intercept: -8
Step-by-step explanation:
The given equation is :
y + 8 = 6x
The general equation of a line is :
y = mx+b...(1)
Where
m is slope and b is y-intercept
Equation (1) can be rewritten as follows :
y = 6x -8
or
y = 6x +(-8) ....(2)
Compare equation (1) and (2) we get :
Slope, m = 6 and y intercept = -8
Hence, the correct option is (c).
John says all of the factors for the number 28 are
1, 2, 3, 4, 7, 14, 28
But he is incorrect! Which number is not a factor of 28?
Answers
Answer:
3
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!! ANSWER ASAP!!!
Solve for x: 2|2x − 2| + 4 = 20. (5 points)
x = 5, x = −3
x = 5, x = −5
x = 3, x = −3
x = −5, x = 3
Answers
I plugged and checked and trust me the both work
Hello, could someone answer this question for me please?
simplify (1 + i) + (-2 + i).
Answers
Answer:
- 1 + 2i
Step-by-step explanation:
Given
(1 + i) + (- 2 + i) ← remove parenthesis
= 1 + i - 2 + i ← collect like terms
= - 1 + 2i
Does anyone know the answer to 6X +18 = h (3X +9)
Answers
A recipe uses 2 1/4 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.
Answers
Answer: 22 1/2 cups
Step-by-step explanation:
multiply 2 1/4 (2.25) by 10 and you get 22.5 or 22 1/4 cups
If two angles are supplementary, then they are not congruent. Which diagram provides a counterexample for the statement?
A) A
B) B
C) C
D) D
Answers
Answer:
a
Step-by-step explanation:
supplmentay angles are either of two angles whose sum is 180°
option b is two right angles (90 degree on both) add them together you get 180.
option c is 60 degrees and 120 degrees add them together to get 180 degrees.
option d is 155 degrees and add 25 degrees you get 180.
so the answer is a, because 30 degrees and add the other 30 degrees together you only get 60
The correct answer is A, because 30 degrees and add the other 30 degrees together you only get 60.
What are supplementary angles?The supplementary angles are defined as the angles whose sum is equal to 180°.
Supplementary angles are either of two angles whose sum is 180°
Option b is two right angles (90 degrees on both) add them together you get 180.
Option c is 60 degrees and 120 degrees add them together to get 180 degrees.
Option d is 155 degrees and add 25 degrees you get 180.
Therefore, the answer is A, because 30 degrees and adding the other 30 degrees together you only get 60.
To know more about supplementary angles follow
https://brainly.com/question/12919120
#SPJ2
Solve -2p + 10p = 7p for p.
Answers
Answer:
Step-by-step explanation:
-2x7+ 10x7
-14+70
70-14 ( there were more positives than negatives. so subtract the smaller number and you get)
56
no variable because it was replaced with 7.
if the original quanity is 10 and the new quanity is 12, what is the percent increase
Answers
Answer:
+20%
Step-by-step explanation:
None
Answer:
Step-by-step explanation:
20%
What is the value of x?
X+4/9=3/4
Answers
Answer:
Answer
4.0/5
10
Americ
Ambitious
1.5K answers
627.6K people helped
x + 4/9= 3/4
subtract 4/9 from both sides
x= 3/4 - 4/9
change to common denominators
x= 27/36 - 16/36
subtract numerators only
x= 11/36
ANSWER: (A) 11/36
Hopes this helps :)
Answer:
Exact Form: x = 11 / 36
Decimal Form: x = 0.305555
Step-by-step explanation:
Marco has a $15.00 gift card to a movie theater. He wants to buy each of his friends a $3
candy bar. The function f(x)=3x-15 represents the amount of cash needed to purchase x candy
bars after using his gift card. He brings 7 friends. How much of his own money does he need
to spend to buy all 7 friends a candy bar?
Answers
Answer:
I believe the answer is 6
Step-by-step explanation:
f(x) = 3x - 15 -- plug 7 into x (that's how many candy bars he's buying)
f(x) = 3(7) - 15 -- solve the equation (just know that 3(7) is the total, and 15 is the amount of money on his gift card.)
f(x) = 21 - 15
f(x) = 6 -- your answer
I hope this helps :)
Solve the following equation for c.
ab + cd = e
(Sorry, this is all the info they gave me.)
Answers
Answer:
Step-by-step explanation:
ab + cd = e
cd = e - ab
d =(e - ab)/d
Use the scale (1 inch = 4 feet) to find the actual length of the family room.
Answers
Answer:
we need the image of the family room to actually solve this.
Step-by-step explanation:
5x - (2x + 5)
170
please help.
Answers
Answer:
56.66666667??? i think
Step-by-step explanation:
Answer:
The simplified answer is -335x-850
2. Bob bought 24 hockey tickets for $83. Adult tickets cost $5.50 and child tickets cost $2.00. How many child tickets did he buy?
Answers
Answer:
worked it out is correct your answers are there
Step-by-step explanation:
there are your answers
On a computer screen, PLS HELP ASAP!!!!!!!!!!!!
Jennifer just created a triangular design of a banner with vertices at A(-4,3), B(-1,5) and C(-1,2). She can use the computer software to perform transformations on this design.
Which sequence of two transformations could she perform so that the transformed vertices become A’ (4,-5) , B’(7,-7), and C’(7,-4) ?
Answers
Answer: D
Step-by-step explanation: reflecting about the line y=-1, followers by translating 8 units to the right
isac walks 6/10 of a mile in 1/5 of an hour if his rate remains constant what is isac walking rate in miles per hour
Answers
Answer:amazing
Step-by-step explanation:
Tom Brady throws 100 passengers in complete 75 of them what percent of his passes are completed
Answers
Answer:
75%
Step-by-step explanation:
75/100=.75
Answer:
75%
Step-by-step explanation:
75/100 = .75
If it was 50 throws that were completed it would be 50% because 50/100 = .50
Simplify the expression: *
5(-2n + 4) + 2(n + 3)
Answers
Answer:
26- 8n
Step-by-step explanation:
-10n + 20 + 2n + 6
-10n+2n +6 +20
-8n + 26
Best regards
Answer:
-8n+26
Step-by-step explanation:
what is the surface area of a cube with a base edge of 8 mm
Answers
Answer:
8 mm
Step-by-step explanation:
A=3.84×10-4m²
look at the picture 10 points
please do not answer if u do not know the answer
Answers
Step-by-step explanation:
well what is the question??
sue has 2 cats.
each cat eats 1/4 of a tin of cat food each day
sue buys 8 tins of cat food
has sue bought enough cat food to feed her 2 cats for 14 days?
Answers
Captain Marvel — is sighted at an altitude of 300 feet and is descending
(down) at a rate of 10 feet
per
second.
Answers
Answer:
She will touch ground in 30 seconds
Step-by-step explanation:
Answer:
So I Don't Know What The Question Is? But Captain Marvel Will Hit The Ground In 30 Seconds
Step-by-step explanation:
300 Divided By 10 Is 30 :)
Use the given information to prove that triangle ABC is similar to DEC
Answers
Answer:
sdfghj
Step-by-step explanation:
What is the similarity ratio of the smaller triangle to the larger triangle?
Simplify the scale factor, if necessary!
Answers
9514 1404 393
Answer:
2/3
Step-by-step explanation:
Compare the shortest sides:
smaller : larger = 10 : 15 = 2 : 3
The scale factor is 2/3.
On the coordinate plane below, figure 1 was transformed twice to form figure 2.
A.a reflection about the y-axis followed by a translation
B.a reflection about the x-axis followed by a translation
C.a rotation of 90° clockwise followed by another rotation of 90° clockwise
D.a rotation of 180° followed by a reflection about the line x = 3
Can you also explain please?
Answers
Answer:
B. a reflection about the x-axis followed by a translation
Step-by-step explanation:
A reflection over the x-axis, since it is horizontally flipped and has the corresponding coordinates that involve the numbers 1 and 3 (based of the points on (-3,1) and (3,-1).
And it is translated to the right, because it was not rotated at all and is on the right side or 4th quadrant. If it was not translated, the reflection would be below triangle1 with the point on (-3,-1), but the point is instead moved 6 units to the right to be on (3,-1).
Andre and Alina are each saving money. Andre starts with $100 in a savings account and adds five dollars per week Elena starts with $10 in her savings account and add $20 each week after how many weeks for Andre and Elena have the same amount of money in their savings account
Answers
Answer:
6 weeks
Step-by-step explanation:
From the question:
Let us represent the number of weeks as x
Andre and Alina are each saving money.
For Andre:
Andre starts with $100 in a savings account and adds five dollars per week
$100 + $5 × x
= 100 + 5x
For Elena
Elena starts with $10 in her savings account and add $20 each week
$10 + $20 ×x
= 10 + 20x
The next step is to equate both algebraic expression for Andre and Elena together
Hence:
100 + 5x = 10 + 20x
Collect like terms
100 - 10 = 20x - 5x
90 = 15x
x = 90/15
x = 6 weeks
Hence, after 6 weeks Andre and Elena would have the same amount of money in their savings account.
6. A rental car agency charges $240 per week plus $0.25 per mile to rent
a car. The charge for a minivan is $180 per week plus $0.40 per mile.
After how many miles is the total charge for each vehicle the same?
Answers
Answer:
400 Miles
Step-by-step explanation:
Set up the equations and make them equal to each other and then solve.
240+0.25m=180+0.40m
Answer
400 miles
Step-by-step explanation:
After 400 miles, both will be costing the same, you first create an equation with the values you have, for example, 240 + .25x and you either graph them and find the intersection or guess and check.
Should’ve paid attention, anyone got an answer! Thank you
Answers
Answer:
4x^4Step-by-step explanation:
Hope this helps!! Please consider marking brainliest! Have a good one!!
Answer:
4x^4
Step-by-step explanation:
Hope this helps and have a nice day :)