By using what we know about intersecting lines, we will see that:
a) ∡7 = 47°b) 47° + (2x - 5)° = 180°c) x = 69How to get the measures of the angles for two intersecting lines?When two lines intersect, 4 angles are formed. There are two properties that these angles have.
If the angles are adjacent, then their measures add up to 180°If the angles are not adjacent, these angles have the same measure.a) We know that ∡5 = 47°
And 7 is not adjacent to 5, then 7 has the same measure:
∡7 = 47°
b) 6 and 5 are adjacent, then we must have that:
∡5 + ∡6 = 180°
47° + (2x - 5)° = 180°
That is the equation we need to solve to get the value of x.
c) To solve the linear equation we need to isolate x, let's do that:
47° + (2x - 5)° = 180°
(2x - 5)° = 180° - 47° = 133°
2x - 5 = 133
2x = 133 + 5 = 138
x = 138/2 = 69.
If you want to learn more about linear equations, you can read:
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Answer:
a) <5 and <7 have congruent angles. That means that both angles are equal, they have the same measure. This means that the measure of <7 is 47°.
<7 = 47°
b) 5 and 6 are adjacent, so this is the equation that we have to do to solve for the value of x.
<5 + <6 = 180°
47° + (2x - 5)° = 180°
c) To solve the linear equation we need to isolate x.
47° + (2x - 5)° = 180°
(2x - 5)° = 180° - 47° = 133°
2x - 5 = 133
2x = 133 + 5 = 138
x = 138/2 = 69
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP when u answwer dont come bck tho
Answer:
i belive it is c. -5.4
Step-by-step explanation:
because as the temperature increases in the negative zone you are also decreasing the momentary value of that number so -3.4 is greater than -5.4 (facts)
How to tell if an equation is a porabilula
Answer:
Parabolas have a plane-curve shape, like the one shown in the picture.
Simplify: (-4ab^2)(-3b^2c) (5a)
Answer:
[tex]60a^{2} b^{4} c[/tex]
Step-by-step explanation:
just multiply first paranthesis with second one. They are each 1 unit as there are no addition or subtraction inside the parantehsis so DON'T distribute. It's more simple.
(12ab^4c)*(5a)
now multiply these 2 paranthesis, again just 2 units to multiple.
60a^2b^4c
What is the solution to n+25= -1
Answer:
n=-26
Step-by-step explanation:
Since n+25=-1, that means n must be less than -25 since if -25+25=0, so n=-26 since -1 is 0-1.
PLEASE HELP ILL MARK BRAINLIEST PLEASEEEEE HELPPPPP
Answer:
m < 2 = 130°
m < 3 = 50°
m < 4 = 130°
m < 5 = 50°
m < 6 = 130°
m < 7 = 50°
m < 8 = 130°
Step-by-step explanation:
I hope this helps.
Hurrrryyyyy plllzzz. Determine the equation of the line that passes through the given points
(10,2) and (-3,2)
y = 2
Step-by-step explanation:To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.
Finding the Slope of the line:[tex]\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
Substitute the coordinates of the given points:
[tex]\implies \text{Slope} = \dfrac{2 - 2}{-3 - 10 }[/tex]
Simplify the equation to determine the slope:
[tex]\implies \text{Slope} = \dfrac{0}{-3 - 10 }[/tex]
∴ 0 divided by ANY number is ALWAYS 0.
[tex]\implies \text{Slope} =0[/tex]
Finding the equation of the line:Point slope form formula: y - y₁ = m(x - x₁)
x₁ and y₁ are the coordinates of any given point.m is the slopeSubstitute the values in the point slope form:
[tex]\implies \text{Equation of line:} \ y - y_{1} = m(x - x_{1} )[/tex]
[tex]\implies \text{Equation of line:} \ y - 2 = 0(x - 10)[/tex]
Simplify the equation to determine the equation of the line:
∴ Any number multiplied by 0 is 0.
[tex]\implies \text{Equation of line:} \ y - 2 = 0[/tex]
[tex]\implies \text{Equation of line:} \ y = 0 + 2[/tex]
[tex]\implies \text{Equation of line:} \ y = 2[/tex]
Thus, the equation of the line is y = 2.
pls answer i need help
Step-by-step explanation:
xcos60 = 5root3/3
1/2x = 5root3/3
x = 10root3/3
Choice C
Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer. ( If you reshare another students answer from brainly or any other websites you'll be reported) Will Mark Brainliest if answered correctly and draw a diagram). Thank you.
We need theta first (angle
[tex]\\ \rm\rightarrowtail sin\theta=\dfrac{P}{H}[/tex]
[tex]\\ \rm\rightarrowtail sin\theta=\dfrac{11.8}{12}[/tex]
[tex]\\ \rm\rightarrowtail sin\theta=0.9834[/tex]
[tex]\\ \rm\rightarrowtail \theta=sin^{-1}(0.9834)[/tex]
[tex]\\ \rm\rightarrowtail \theta=79.54°[/tex]
On rounding it will go till 80°
So it's not safeWhat is the most inexpensive way to measure heart rate during exercise?
A. Doing a rate of perceived exertion
B. Taking your pulse
C. Wearing a heart rate monitor
D. None apply
Answer:
C
Step-by-step explanation:
Taking your own heart rate is the most inexpensive, but it is also accurate if you can measure it correctly.
Marta studied 20.75 hours total in April and May, she studied 13 hours total in May.
How many hours did Maria study in April?
Answer:
20.75-13=7.75
Maria studies 7.75 hours in April
Step-by-step explanation:
Brainliest would be appreciated
In the above figure, m∠A = 26° and m∠B = (2x + 16)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
A. x = 24, m∠B = 64°
B. x = 50, m∠B = 64°
C. x = 69, m∠B = 154°
D. x = 24, m∠B = 48°
Answer:
A. x = 24, m∠B = 64°
Hope this helps!
a blank is a transformation that changes the slope of a line
Answer:
I'm pretty sure its Stretches and Compressions.
Step-by-step explanation:
You pick a card at random. Without putting the first card back, you pick a second card at random.
3
4
5
What is the probability of picking a 5 and then picking a 5?
Write your answer as a fraction or whole number.
Answer:1/169 i think
Step-by-step explanation:
Because you have to get a 5 twice in a row your first probability for one would be 4/52 or 1/13 but because you have to do it twice in a row you multiply the odds together 1/13*1/13=1/169
(Five Stars & Thanks to whoever answers first)
Answer:
2/3
Step-by-step explanation:
They rolled an even number 40/60 times which simplifies to 2/3
Answer:
C
Step-by-step explanation:
Table
Dice Roll Number of times
1 4
2 11
3 6
4 17
5 10
6 12
Total 60
Total of the even numbers
11
17
12
40
P(even) = even / total
P(even) = 40/60
AnswerP(even) = 2/3
how many solutions does 2a-5a=-3a have
Answer:
Step-by-step explanation:
2a-5a = -3a, combine like terms
-3a = -3a , this is true all the time so ...
The equation 2a-5a = -3a has infinite many solution.
Which point is a solution to the linear inequality y < -1/2
X + 2?
Answer:
This is the best answer I could find but it may be incorrect (3,-2)
An athlete has aggressive outburst towards the opposing players is
A. extrovert/stable
B. introvertlunstable
C. introvert/stable
D. extrovert/unstable
Answer:
D. extrovert/unstable
Step-by-step explanation:
At Garcia's Bike Rentals, it costs 31 to rent a bike for 7 hours. How many hours of bike use does a customer get per dollar?
[tex]\tt \dfrac{7}{31}=0.226~hours/dollar[/tex]
NEED HELP ASAP WILL MARK BRAINLEST!!
Does it tell you to make up your own problem situation or to choose from, if it asks you to choose from the provided then you didnt send the screenshot properly send it again and I will help you answer it but in case it asked you to make upyour own problem situation heres the answer:
Step-by-step explanation:
John has built houses on 59.48 acres of land, his dad had given him 300 acres of land before passing, john plans on building a lot more houses this year. X is the amount of acres of land he will use to build the house in addition to the 59.48 acres of land already used to build houses previously, combined they can equal a maximum of 300 acres because thats all he has.
Find BC.
Round to the nearest tenth.
please help me find the formula of this table graph thingy
the topic Is graph and direct propotion
Find the ratio of the given one: 20/200 = 0.1
this means the sugar (y) is 0.1 amount of soda (x)
Multiply the amount of soda by 0.1:
Formula is y = 0.1x
Formula : y = kx or y = k/x
Thus since the formula is y = kx then we can substitute:
y = 20
k = ?
x = 200
20 = ? / 200
? = 10
Therefore for the rest of the blank
100/10 = 10
500/10 = 50
1000/10 = 100
So the chart now is:
| Drink (x ml) | 200 | 100 | 500| 1000|
| Sugar (y g) | 20 | 10 | 50 | 100 |
[RevyBreeze]
Genetics, stress and_________can also have an impact on the health of the cardiovascular system.
A. attitude
C. lifestyle
Answer:
C. lifestyle
Step-by-step explanation:
Hope this helps!
What are the x- and y-intercepts of the graph of 5x – 4y = 20?
Answer:
The x-intercept is (4, 0)
The y-intercept is (0, -5)
Step-by-step explanation:
The x-intercept is always (x, 0)
Knowing this we can sub 0 for y in the equation so we can find the x-intercept
[tex]5x-4y=20\\5x-4(0)=20\\5x=20[/tex]
Now solve for x
[tex]5x=20\\\frac{5x}{5} =\frac{20}{5} \\x=4[/tex]
The x-intercept is (4,0)
The y-intercept is always (0, y)
Knowing this we can sub 0 for x in the equation so we can find the y-intercept
[tex]5x-4y=29\\5(0)-4y=20\\-4y=20[/tex]
Now solve for y
[tex]-4y=20\\\frac{-4y}{-4} =\frac{20}{-4} \\y=-5[/tex]
The y-intercept is (0, -5)
What are the solutions to the problem?
(A B C or D?)
Answer:
C
step by step equation:
add 3 to both side
than simplify
What number represents 8 times as many as 2
answer: 16
explanation: 8*2=16
The number that represents 8 times as many as 2 is 16.
The times in the question is nothing but multiplying a number with another number.
To find the number that represents 8 times as many as 2.
we need to multiply 2 by 8.
Two times eight is equal to sixteen.
2 × 8 = 16
Therefore, the number that represents 8 times as many as 2 is 16.
To learn more on Multiplication click:
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A bedroom door has a perimeter of 26 feet and an area of 36 square feet. What are the dimensions of the door?
one more than nineteen
And in numerical form, 20
Answer:
20
Step-by-step explanation:
first yo get the number 19 then after that you can add 1 and your answer is 20 and aafter 20 (just incase you want to know) is 21
What number is 35% of 675?
Answer:
236.25
Step-by-step explanation:
35/100x675=945/4 = 236.25
please i really need help right now 25 points
Answer:
C
Step-by-step explanation:
f(x) are 6; 2; -3; 4, finalle the answer C is correct.
If you have 5 blue marbles, 8 yellow marbles, and 2 green marbles. What is the probability of pulling a yellow marble?
Answer: 8/15
Step-by-step explanation: take all the color of marbles and add them together. There is where you get your denominator of 25. Next, since you are finding for yellow marbles, take the number of yellow marbles (8) and that will be your numerator.