Answers
Answer: m<A = 35
Step-by-step explanation: The sum of the measures
of the interior angles of a triangle is 180°.
So we can setup the equation 3x + 5 + 8x + 65 = 180.
Combining our numbers and variables on the left, we have 11x + 70 = 180.
Now subtract 70 from both sides to get 11x = 110.
Dividing both sides by 11, we find that x = 10.
In the diagram, the m<A is represented as 3x + 5.
Plugging a 10 in for x, we have 3(10) + 5 or 30 + 5 which is 35.
So the m<A = 35.
Related Questions
América is not a country
Answers
Let x = the length of the shorter piece of rope. x + (1/2)x = 24 (3/2)x = 24 (2/3)(3/2)x = (2/3)(24) x = 16 The lengths of rope are 16 feet and 8 feet. A student solves the problem to the left as shown. Which statements describe the solution? Check all of the boxes that apply.
Answers
Answer:
Step-by-step explanation:
Given the question
A rope is 24 feet long. It is cut into two pieces such that one piece is half the length of the other. Find the lengths of the two pieces of rope.
Options
The stated solution is correct (lengths of 16 feet and 8 feet).
Based on the way the variable is defined, the equation should be x + 2x = 24.
The equation is written correctly, but there is an error in solving the equation.
The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.
2
Let the length of one piece be x (shorter piece) and the other be y.
If the rope is cut into two pieces and 24ft long, then;
x+y = 24.......... 1
If one piece is half the length of the other, then x = y/2..... 2
substitute equation 2 into 1
y/2 + y = 24
take the LCM
y+2y/2 = 24
3y/2 = 24
cross multiply
3y = 48
Divide both sides by 3;
3y/3 = 48/3
y = 16 feet
Since x = y/2
x = 16/2
x = 8 feet
Based on the calculation above, I can conclude that;
- The student stated solution is correct (lengths of 16 feet and 8 feet)
- The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.
- Based on the way the variable is defined, the equation should be x + 2x = 24.
3 message Bill weighs 120 pounds and is gaining 10 pounds per month. Phil weighs 204 pounds and is losing 4 pounds per month. How many months will it take for Bill to Weigh the same as Phil? Write an equation to solve this problem
Answers
Answer:
6 months
Step-by-step explanation:
120 +10x = 204 - 4x
10x + 4x = 204 - 120
14x = 84
x = 6
please help quickly ill give brainliest if its correct
Answers
2p10
Step-by-step explanation:
3.The snow starts at a depth of 10 inches and melts to 2 inches over the span of 4 hours. Determine the rate of change over the interval 0≤x≤4
A.4 inches per hour
B.2 inches per hour
C.8 inches per hour
D.12 inch per hour
4.The population in a neighborhood increased from 120 to 156 people from 1990 to 1994. Find the rate of change over the interval 1990≤x≤1994.
A.1/9 of a person per year
B.9 people per year
C.36 people per year
D.4 people per year
5.The temperature increases from 60 degrees Fahrenheit to 84 degrees Fahrenheit from 8 in the morning to 12 in the afternoon. Find the rate of change over the interval 8≤x≤12
A.16 of a degree Fahrenheit per hour
B.4 degrees Fahrenheit per hour
C.6 degrees Fahrenheit per hour
D.24 degrees Fahrenheit per hour
Answers
Step-by-step explanation:
#4: 156-120= 36
36÷4=9
Answer: B; 9 people per year
Step-by-step explanation:
#5: 84-60=24
24÷4=6
Answer: C; 6 degrees Fahrenheir per hour
John bought 5 notebooks for a total of $10. Which equation could be used to calculate the cost of the notebooks, y, based on the number
of notebooks purchased, X?
Answers
I'm pretty sure it's B.
Four student are each trying to raise the same amount of money for a class trip. The table below shows how much of each student's goal has been met.
Answers
Answer:
the answer is 5/8, 65%, 2/3, 0.7
Step-by-step explanation:
Help me and explain please I’m struggling
Answers
Because we know that angle AEB and BED are equal to 90°
And we know angle EBC is bisected by line BD which means the angle measures of EBD and BDC are congruent.
First we need to figure out the angles in the triangle on top, triangle EBD and we already know 2 angle measures know, 28° and 90° so we subtract those two numbers from 180 to get 62°
(The reason we subtract from 180 is because the angle measure of a triangle all together equal 180)
And based on what we said earlier (the angle measures of EBD and BDC are congruent.) the angle EBD and BDC are both equal to 62°. This means angle EBC is equal to the sum of 62 and 62, 124°. And EBC + EBA= 180° because it’s a straight angle. So to get angle EBA we subtract 124 from 180 to get 56°.
Now we can find a we just need to subtract 56 and 90 from 180, when we do that we get 34 which means that angle A is 34°
What is 75% of 30 menutes
Answers
Answer:
22.5
Step-by-step explanation:
:)
what is 0.4repeating as a fraction?
Answers
Answer:
11/25
Step-by-step explanation:
if you travel 480 miles at an average speed of 40 miles per hour for how many hours were you traveling
Answers
Answer:
The answer is 12 hoursStep-by-step explanation:
To find the time taken for an object to travel given it's velocity and distance covered we use the formula
[tex]time = \frac{distance}{speed} \\ [/tex]
From the question
distance = 480 miles
speed = 40 mi/h
So we have
[tex]time = \frac{480}{40} = \frac{48}{4} \\ [/tex]
We have the final answer as
12 hoursHope this helps you
The scale of a set of architectural drawings for a house is 1/2 inch = 1 1/2 feet. A drawing shows a model of a room that is 4 inches long. How would you find the actual length of the room? (In other words, how much you find the length, in feet, of the room in real life?)
Answers
6(−3−x)−2x=14 What is the value of x?
Answers
Answer: x=−4
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Please help asap!!!!!!!!!
Answers
Exact answer is 29415.5844
However if you round the multiplier it is
2.942x10^4 or $29420
Step-by-step explanation:
Plug it in a calculator. Divide debt by population.
#3: Create an equation that include at least 3 steps and the
distributive property that has a solution of 6.
Answers
Find the midpoint between (1 , -2) and (-10 , 1)
Answers
Answer:
5555665555555555555
Answer:
[tex](\frac{9}{2},-\frac{1}{2} )[/tex]
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
7. Cassidy's family is driving home
from vacation at an average speed
of 55 mph. After 2 hours they
are 110 miles from home. What
is an equation in point-slope that
represents their distance from
home, y, after x hours?
Answers
Answer:
The equation in a point-slope form that represents their distance from
home, y miles, after x hours, is y - 110 = 55(x - 2)
Step-by-step explanation:
The point-slope form of the linear equation is
[tex]y-y_{1}=m(x-x_{1})[/tex] , where
m is the slope of the line (average)
[tex](x_{1},y_{1})[/tex] is a point on the line
→ The family is driving home from vacation at an average speed
of 55 miles per hour
∴ m = 55
→ After 2 hours they are 110 miles from home
∵ x is the number of hours
∵ y is the distance in miles after x hours
∴ [tex]x_{1}[/tex] = 2
∴ [tex]y_{1}[/tex] = 110
→ Substitute these values in the form of the equation above
∴ y - 110 = 55(x - 2)
The equation in a point-slope form that represents their distance from
home, y miles, after x hours is y - 110 = 55(x - 2)
What is the slope? The y-intercept? Write the y-intercept as a coordinate.
Answers
Answer:
The y intercept is (0,-3) The slope is 7/1 i think
Given f(x) = (2 - x)}, what is the value of f(18)?
Answers
(2-18)
f(18)= -16
Calculate the following using the Density Formula: What is the volume of the Ms. Gonsalez's phone that he dropped in his sink, if the mass of the phone is 12.4 g and the density is 6.2 g/mL? *
Answers
Answer:
2 mL³
Step-by-step explanation:
Use the density formula, D = m/v, where m is the mass and v is volume.
Plug in the mass and density, then solve for the volume:
D = m/v
6.2 = 12.4/v
6.2v = 12.4
v = 2
So, the volume is 2 mL³
What's 2|–9| – |–2|?
A) –20
B) 16
C) –18
D) 20
Answers
3-2(x + 1)=2x-7
SOLVE AND HOW MANY SOLUTIONS ?
Answers
Answer:
2
Step-by-step explanation:
3−2(x+1)=2x−7
3+(−2)(x)+(−2)(1)=2x+−7(Distribute)
3+−2x+−2=2x+−7
(−2x)+(3+−2)=2x−7(Combine Like Terms)
−2x+1=2x−7
−2x+1=2x−7
Step 2: Subtract 2x from both sides.
−2x+1−2x=2x−7−2x
−4x+1=−7
Step 3: Subtract 1 from both sides.
−4x+1−1=−7−1
−4x=−8
Step 4: Divide both sides by -4.
−4x−4=−8−4
x=2
Write rational number -3/8 as the quotient of two integers in two different ways I think the answer is
3/-8 and -3/8
Answers
Answer:
sor
Step-by-step explanation:
what is the largest exponent in a polynomial
Answers
degree
The largest exponent in the polynomial is called the degree, and the coefficient of the variable raised to that exponent is called the leading coefficient. The constant in a polynomial has no variable written next to it.
i'll make the person who solves this the brainlest Evaluate the expression:
-2 1/4 + 8 + (- 1 3/4 ) - 1
Answers
Answer:
3
Step-by-step explanation:
Convert to improper fraction then do the math from there
Hi :) how to do part 4?
Answers
Answer:
15(iv) 68 units²
Step-by-step explanation:
Please see the attached picture for full solution. (Pictures 1 &2)
*I also did Q15 part (iii) by accident so I have also attached its working above if you need it. (Picture 3 and onwards)
Solve the inequality.
||2x−1|−2|>3
Answers
Answer:
x > 3
Step-by-step explanation:
NEED HELP ASAP TYSMMM
Answers
Answer: 2
Step-by-step explanation:
they already gave you what x is, all you have to do is plug x in where you see it.
(3)^2 - 5(3) + 8
9 - 15 + 8
can yall help me plz
Answers
Answer:
C. 1/4
Step-by-step explanation:
up 1, right 4
You are building a shelf that fits in a corner. In the figure, the entire shelf is 2 points ABC. If each unit in the coordinate plane represents one inch, then the
AREA of the shelf is
square inches. A(20,30) B(20,10) C(10,10)
Answers
Answer:
100 square inches
Step-by-step explanation:
The width of the shelf is BC = 20 - 10 = 10 inches.
The height of the shelf is AB = 30 - 10 = 20 inches.
The area of a triangle with these dimensions is ...
A = (1/2)bh
A = (1/2)(10 in)(20 in) = 100 in^2
The area of the shelf is 100 square inches.