Answers
Answer:
x=10 , x=13
Steps:
5.
4x+5x=180-90
9x=90
x=90/9
x=10
6.
(3x+7)+(2x+3)=180-105
5x+10=75
5x=65
x=65/5
x=13
Step-by-step explanation:
☯ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]
✰ [tex] \underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} : [/tex]
[tex] \large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}[/tex] [ Sum of angle in a triangle ]
⤑ [tex] \large{ \tt{90 \degree + 9x \degree = 180 \degree}}[/tex]
⤑ [tex] \large{ \tt{9x \degree = 180 \degree - 90 \degree}}[/tex]
⤑ [tex] \large{ \tt{9x \degree = 90 \degree}}[/tex]
⤑ [tex] \large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}[/tex]
⤑ [tex] \boxed{ \large{ \tt{x = 10 \degree}}}[/tex]
----------------------------------------------------------
✰ [tex] \underline{ \underline{ \text{For \: Question \: Number \: 6}}} : [/tex]
[tex] \large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}[/tex] [ Exterior angle is equal to the sum of two non-adjacent interior angles ]
⟶ [tex] \large{ \tt{75 \degree = 5x \degree + 10 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree = 75 \degree - 10 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree = 65 \degree}}[/tex]
⟶ [tex] \large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}[/tex]
⟶ [tex] \boxed{\large{ \tt{x = 13 \degree}}}[/tex]
Hope I helped ! ✧
Have a wonderful day / night ! ♪
Let me know if you have any questions regarding my answer!
[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕
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Related Questions
is y+7=2x a direct variation
Answers
Answer:
No, y+7=2x does not represent direct variation
Step-by-step explanation:
No, y+7=2x does not represent direct variation, because of the constant (initial value) 7.
y = 2x represents direct variation; y = 2x - 7 does not.
If you were to roll a standard six sided die, what is the probability of rolling a number less than what three other people rolled?
Answers
I assume you mean on a 6-sided die? If so, there are two numbers less than 3: 1 and 2. There are 6 total possible results, so the probability of rolling a number less than 3 is 26 or 13 or 0.3333 .
hey its mathematics please and thank you
Answers
What is the answer to g(-9)
Answers
Answer:
-9g
Step-by-step explanation:
Move -9 to the left of g
I think this is right, sorry if it is wrong, have a great day
Renaldo says that parallel lines intersect a circle at opposite
ends of the same diameter. If a line is tangent to a circle, then
the radius of the circle is perpendicular to the line at the point of
tangency. Does this fact support Renaldo's conjecture? Explain
Answers
Answer:
Yes
Step-by-step explanation:
Noted that the claim only stands true IF BOTH OF THE LINES ARE TANGENT TO THE CIRCLE. [If one line cut the circle at 2 distinct points, the claim is false]
This can be explained with tangent properties. Consider a circle with radius r, by tangent properties, then the radius of the circle is perpendicular to the line at the point of tangency as stated in the question. Since the two lines are parallel, we can bring back up parallel lines theory, the alternative angles of the two tangent to the circle is equal to 90.
Try to draw a line linking the two points of tangent passing through the radius, it is the diameter of the circle, thus parallel lines intersect a circle at opposite ends of the same diameter.
Can someone help me with this it’s timed !!!
Answers
Answer:
c
Step-by-step explanation:
Answer:
1. A
2. Missouri Compromise
3. Abolition
Step-by-step explanation:
The average number of people who attended football games at a stadium increased from 8000 people in the year 2005 to 12500 people in the year 2012. By what percentage did the average number of people at the games increase from 2005 to 2012?
Answers
Answer: 43.75%
Step-by-step explanation:
The percentage change is given by:
= [Final value - initial value / Initial value] x 100
The percentage increase in the average number of people from 2005 to 2012 is 56.25%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
The average number of people in 2005 = 8000.
The average number of people in 2012 = 12500.
The change in the average number of people from 2005 to 2012.
= 12500 - 8000
= 4500
The percentage change in the average number of people at the games from 2005 to 2012.
= [Change in the average number of people / Average number of people in 2005] x 100
= (4500 / 8000) x 100
= 450/8
= 56.25%
Thus,
The percentage increase in the average number of people from 2005 to 2012 is 56.25%.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ6
4. Jessica is saving money to buy a phone that costs $415. She already has $85 saved. She mows
lawns to make extra money. She charges $15 per lawn that she mows. Let n be the number
of lawns she needs to mow to have enough money saved to buy the phone.
Set up and solve an equation to find the value of n.
Answers
Answer:
15n = 330
Value of n(number of lawns) = 22
Step-by-step explanation:
She has already saved $85 which means the amount of money she needs left will be
=$415 - $85
= $330
Now n represents the number of lawns she needs to mow. She earns $15 per lawn, so she needs to multiply the cost of each lawn by the number of lawns (n) and equal it to the money she needs. This is how the equation will turn out.
15n = 330
To go further, divide both sides by 15 to get the number of lawns she has to mow.
[tex]\frac{15n}{15} =\frac{330}{15}[/tex]
n = 22
∴ She needs to mow 22 lawns to get the amount of money she needs.
Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade? The area of the shade is ft2.
Answers
Answer:
24
Step-by-step explanation:
A triangle is a three sided polygon with three edges and three vertices
There are different types of triangles. They include :
Right angled triangle - one of the angles measure 90 degreesequilateral triangle - all three sides of the triangle are equalisosceles triangle - two sides of the triangle are equalArea of a triangle = 1/2 x ( base x height)
1/2 x (6 x 8) = 24 ft²
Consider the function represented by the graph. What is the domain of this function?
A. {x|x=>0}
B. {x|x<=8}
C. {x|0<=x<=8}
D. {x|x<=0x=>8}
Answers
Answer:
I think it is B but i'm not 100% sure.
Step-by-step explanation:
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 363 square feet. The width of the basement is 1 3 its length. What is the length of Louis's basement? The length is feet.
Answers
Answer:
the length is 33 feet
Step-by-step explanation:
The computation of the length is shown below:
Let us assume the length be x
So the width be 1 by 3 x
And the area is 363 square feet
So
As we know that
Area = length × width
363 = x × 1 ÷ 3 x
363 = 1 ÷ 3x^2
Now
363 × 3 = x^2
1089 = x^2
x = 33 feet
hence, the length is 33 feet
What will happen to a number, if it was added to its inverse?
Answers
Answer:
The word "inverse" in the question is ambiguous, since x usually has inverses under both addition and multiplication. ... If the question is asking about the additive inverse (opposite), then the sum is always 0 for any x . So the sum takes its maximum value for any x .
Step-by-step explanation:
Answer:
Zero
Step-by-step explananation:
An inverse is the opposite of another number, so if you add them together it would equal zero.
Here are a few examples.
5+-5=0
9+-9=0
150+-150=0
-220+220=0
-476+476=0
The inverse is simply the originall number, but on the opposite side of the number line. Meaning you add or take away the negative sign, depending on the original number.
Hope I explained well:)
Someone help me ASAP !
Answers
Answer:
31
Step-by-step explanation:
At the amusement park, Laura paid $6.00 for small cotton candy. Her older brother works at the park, and he told her they mark up the cotton candy by 300%. What is the price of the cotton candy before the markup?
Answers
The question and information is on the photo pls if you can give me the work to.
Answers
Answer:
SI = 2052.61 ft
Step-by-step explanation:
cos 13 = 2000/SI
0.9744 = 2000/SI
multiply both sides by SI:
(SI)(0.9744) = 2000
divide both sides by 0.9744:
SI = 2052.61 ft
plz help i need some one to check if this is right :(
Answers
Answer: No, it's not. x should be 121
Step-by-step explanation:
Answer:
No it is 121
Step-by-step explanation:
22+37= 59
all angles add up to 180 degrees
180-59=121 degrees
The school swim team has 12 freshmen, 10 sophomores, 15 juniors and 5 seniors. The team is headed by 4 coaches
Answers
Answer:
simplified its 5:4 for juniors to freshmen's
Step-by-step explanation:
Answer:
5 : 4
Step-by-step explanation:
Ratio of juniors to freshmen = 15 : 12
15 = 3 * 5
12 = 3 * 4
GCF = 3
15 : 12 = 15÷3 : 12÷ 3
= 5 : 4
Carly went for a walk and jog
• She started walking.
• After a few minutes, Carly began jogging at a faster speed than she was walking
• Carly got tired then slowed down to a slower speed than she was jogging
which graph best represents the distance Carly went?
Answers
Answer:
I believe D
Step-by-step explanation:
The reason is she starts off slowly but then keeps on gaining up and up.
The segments shown below could form a triangle.
A. True
B. False
Answers
Can someone plzzzz help meeee!!!!!
Answers
Answer:
1. Interpret (L): To explain or to give meaning to.
2. Variable: (F) Something that can change or influence the results of an experiment.
3. Observe (I): To notice what occurs during an experiment.
4. Questions (B): The inquiry or problem relating to a topic that can be answered by conducting an experiment.
5. Scientific Method (A): A method of doing research that includes the steps of identifying a problem, gathering data, forming a hypothesis, testing a hypothesis, and drawing a conclusion.
6. Ethical (E): Following the rules of being being fair and honest.
7. Hypothesis (G): An educated guess or reasonable assumption.
8. Research (D): To conduct an investigation into current information about something.
9. Experiment (C): A test or trial performed in order to discover something.
10. Conclusion (K): The result or outcome of something.
11. Procedure (H): A sequence of steps involved in performing an experiment.
If this helps, please consider giving a thanks, a good rating, and Brainliest! Thanks!
Jonny has $50 in a savings account. Each week, he deposits $13 in the account. Jonny's brother has $90 in a saving account. Each week, he deposits $11 in the account. Write an algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months.
Answers
Answer:
140 + 96 m
Step-by-step explanation:
There are 4 weeks in 1 month.
Therefore:
Jonny has $50 in a savings account. Each week, he deposits $13 in the account.
$50 + $13 × 4m
The algebraic expression is given as:
50 + 52m
Jonny's brother has $90 in a saving account.
Each week, he deposits $11 in the account.
The algebraic expression is given as:
$90 + $11 × 4m
90 + 44m
An algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months is written as:
Amount Jonny has + Amount his brother has
50 + 52m + 90 + 44m
= 50 + 90 + 52m + 44m
= 140 + 96 m
One day a retail store received a box of 24 shirts. If this shipment had 6 defective shirts, what can the store expect for upcoming shipments?
F.
A box of 32 shirts will have 12 defective shirts.
G.
A box of 40 shirts will have 10 defective shirts.
H.
A box of 48 shirts will have 3 defective shirts.
J.
A box of 64 shirts will have 8 defective shirts.
Answers
Answer:
the answer is H.
Step-by-step explanation:
The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?
A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3
Answers
Answer:
Option B (16 cm³)
Step-by-step explanation:
GIVEN :-
Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³TO FIND :-
Volume of coneFACTS TO KNOW BEFORE SOLVING :-
Volume of a cylinder having radius 'r' and height 'h' is [tex]\pi r^2h[/tex]Volume of a cone having radius 'r' and height 'h' is [tex]\frac{1}{3} \pi r^2 h[/tex]Hence ,
Volume of cylinder = Thrice the volume of cone
[OR]
Volume of cone = One third of volume of cylinder
PROCEDURE :-
Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16 cm^3[/tex]
What Is The Measure Of X?
Answers
Answer:
Its a:70 degrees..........
Answer:
60 degrees
Step-by-step explanation:
This is because on the other side there is 30 degrees, and since a right angle= 90 degrees, simply do 90-30=60
Work out the reciprocal of 0.125
Answers
Answer:
The right answer is 8 hope I helped
Two trains, train A and train B, weigh a total of 251 tons. Train A is heavier than Train B. The difference of their weights is 181 tons. What is the weight of each train?
Answers
hi can you please help me with this. the question is in the picture:)
Answers
Item 19 The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?
Answers
Answer:
[tex]Area = 287\ in^2[/tex]
Step-by-step explanation:
Given
[tex]Length = 20.5[/tex]
[tex]Space = 4.25[/tex]
[tex]Panels = 3[/tex]
See attachment
Required
The area of one panel
From the attachment, the total width is 50.5in.
i.e.
[tex]Total\ Width = 50.5[/tex]
Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.
The reduced width is:
[tex]Reduced\ Width = 50.5 - 2 * 4.25[/tex]
[tex]Reduced\ Width = 42[/tex]
At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).
[tex]Width = \frac{42}{3}[/tex]
[tex]Width = 14[/tex]
The area of one is:
[tex]Area = Length * Width[/tex]
[tex]Area = 20.5 * 14[/tex]
[tex]Area = 287\ in^2[/tex]
HELPPP PLEASEE!!!DONT ANSWER IF YOU DONT KNOW!!
Answers
Answer:
-4
Step-by-step explanation:
how many true solutions are in x^2− 6x − 7 = 0