Answers
Answer:
50°
Step-by-step explanation:
50 + (3x + 14) + (7x - 4) = 180
50 + 3x + 14 + 7x - 4 = 180
60 + 10x = 180
10x = 180 - 60
10x = 120
x = 120/10
x = 12
So, Angle A is:
(3 * 12) + 14
36 + 14 = 50°
Answer:
a.) [tex]x=12[/tex]
b.) [tex]A=50[/tex]
Step-by-step explanation:
a.) Remember: the sum of all angles in a triangle will always be 180°.
Make an equation in which all given angles add up to 180:
∠1+∠2+∠3=180
[tex](3x+14)+(7x-4)+50=180[/tex]
Solve the equation for the value of x. Remove the parentheses:
[tex]3x+14+7x-4+50=180[/tex]
Combine like terms:
[tex](3x+7x)+(14-4+50)=180\\\\10x+60=180[/tex]
Subtract 60 from both sides:
[tex]10x+60-60=180-60\\\\10x=120[/tex]
Divide both sides by 10:
[tex]\frac{10x}{10}=\frac{120}{10} \\\\x=12[/tex]
The value of x is 12.
b.) Insert the value of x into the given value of ∠A:
[tex]A=3x+14\\\\A=3(12)+14[/tex]
Simplify multiplication:
[tex]A=36+14[/tex]
Add:
[tex]A=50[/tex]
∠A is 50°.
:Done
Check Your Work:
To make sure the given values are true, solve for ∠B:
[tex]B=7(12)-4\\\\B=84-4\\\\B=80[/tex]
Now add all angle values to determine if they add up to 180°:
[tex]50+50+80=180\\\\100+80=180\\\\180=180[/tex]
Since 180 is equal to 180, the values are true.
Related Questions
Answer this math question and ill give you brainliest
Answers
Answer:
27
Step-by-step explanation:
bhdhdhhdhddfdfffjdudhfjf 27
2^8 in standard form
Answers
Answer: 256
Step-by-step explanation:
2^8=2*2*2*2*2*2*2*2=256
Some one help me pls
Answers
Answer:
27
Step-by-step explanation:
PEMDAS : PARENTHESIES, EXPONENTS, MULTIPLY, DIVISIOIN, ADD, SUBTRACT
14/2 + 20
7 +20=27
Someone please help
Answers
Hope this helpppssss
PLEASE HELP ME OUT I DONT UNDERSTAND
Answers
If u answer this correctly u get brainliest.
Answers
Answer: 4 and 5
Step-by-step explanation: supplementary is 2 angles that sum up to 180 degrees
Answer:
Angle 4 and angle 5
Step-by-step explanation:
Supplementary means that both angles add up to 180 degrees
can someone help me
Answers
Answer:
its a right angle
Step-by-step explanation:
Right angles have a 90* angle, which is why they add that little square
Solve for w.
5w/8 = 15
solve step by step with a good explanation.
if you get this correct and solve step by step then i will mark you brainliest!
Answers
Answer:
w = 24
Step-by-step explanation:
[tex]\frac{5w}{8}[/tex] = 15
Multiply both sides by 8.
5w = 15 × 8
= 120
Find w.
w = 120 ÷ 5
w = 24
What is Jamal weight in kilograms if he weighs 156 pounds? Round to the nearest 10th if necessary
Answers
Answer:
70.7604097 in kilograms rounded would be 70.8 kilograms
Step-by-step explanation
Divers erected a cage in a shape of an upright cylinder on rhe ocean floor for protection. The diameter of the base measures 32 feet. How much space on the ocean floor does the cage have
Answers
Answer:
The cage will cover an area of 805 ft^2 on the Ocean floor
Step-by-step explanation:
To calculate the amount of space the cage has on the Ocean floor, we calculate the area of the base of the cylinder
Mathematically, that will be pi * d^2/4
= 22/7 * (32 * 32)/4
= 22/7 * 256 = 804.5714285714286
The cage will cover an area of 805 ft^2 on the ocean floor
I NEED HELP ONCE AGAIN PLEASE AND THANK YOU IF CORRECT I WILL MARK BRAINLYEST
Answers
Answer:
(5,2)
Step-by-step explanation:
1) "teacher" wants to build a rectangular dog bowl stand. The top of it will have a perimeter 55 1/2 inches. The length is twice as long as the width. What are the dimensions (length and width) of the top of the dog bowl stand? (Note: Your answer should be in fraction form, not a decimal.) 2) During their basketball game, "teacher 1" shoots twice as many airballs as "teacher 2". "teacher 3" shoots 4 airballs less than "teacher 2". If they shot 24 airballs together, how many airballs did each teacher shoot?
Answers
Answer:
1)
[tex]L=18 \frac{1}{2} in[/tex]
[tex] W= 9 \frac{1}{4} in[/tex]
2)
[tex]T_{1}=14 balls[/tex]
[tex]T_{2}=7 balls[/tex]
[tex]T_{3}=3 balls[/tex]
Step-by-step explanation:
In order to solve this problem, we need to build the equations we need. Since there are two values we want to figure out (length and width) we will then need two equations to solve simultaneously.
First, the problem tells us that the perimeter is 55 1/2 in, which can be rewritten as an improper fraction:
[tex]55 \frac{1}{2}= \frac{55*2+1}{2}= \frac{111}{2}[/tex]
Next, we also know the perimeter of a rectangle is found by using the following formula:
P=2L+2W
where L is the length of the rectangle and W is its width.
So our first equation will look like this:
[tex]2L+2W=\frac{111}{2}[/tex]
Next, the problem tells us that the width of the rectangle is twice its width, so our second equation will look like this:
L=2W
which can be substituted into our first equation:
[tex]2L+L=\frac{111}{2}[/tex]
Now, we can solve this for L, so we get:
[tex]3L=\frac{111}{2}[/tex]
[tex]L=\frac{111}{2*3}[/tex]
[tex]L=\frac{111}{6}=18 \frac{3}{6}=18 \frac{1}{2}[/tex]
so we can now use this information to find its width:
L=2W
[tex] \frac{111}{6}=2W[/tex]
so
[tex]W=\frac{111}{6*2}[/tex]
[tex]W=\frac{111}{12}=9\frac{3}{12}=9\frac{1}{4}[/tex]
2)
When solving this problem it is a good idea to split it into little chunks of information. The first sentence says:
"... "teacher 1" shoots twice as many airballs as "teacher 2"."
This can be translated as an equation like this:
[tex]T_{1}=2T_{2}[/tex]
The next sentence says:
""teacher 3" shoots 4 airballs less than "teacher 2"."
This can be written as an equation like this:
[tex]T_{3}=T_{2}-4[/tex]
and finally, the problem states: "... they shot 24 airballs together,..."
This can be written as an equation like this:
[tex]T_{1}+T_{2}+T_{3}=24[/tex]
so now we can do substitutions. We can take the first and second equations and write them into the third equation so we get:
[tex]2T_{2}+T_{2}+T_{2}-4=24[/tex]
so now we can solve this equation for [tex]T_{2}[/tex], so we get:
[tex]2T_{2}+T_{2}+T_{2}=24+4[/tex]
[tex]4T_{2}=28[/tex]
[tex]T_{2}=\frac{28}{4}[/tex]
[tex]T_{2}=7[/tex]
and once we got this answer, we can find the remaining two answers:
[tex]T_{1}=2T_{2}[/tex]
[tex]T_{1}=2(7)[/tex]
[tex]T_{1}=14[/tex]
and
[tex]T_{3}=T_{2}-4[/tex]
so we get:
[tex]T_{3}=7-4[/tex]
[tex]T_{3}=3[/tex]
Answer:
1)
Step-by-step explanation:
1)
A plane takes off from an airport and travels at a steady speed of 350 miles per hour. Which of these graphs best represe
the airport, y, after traveling for x hours?
FLIGHT OF AIRPLANE
Answers
Answer:
A
Step-by-step explanation:
I found the answer
HELP URGENT I NEED THIS FAST!!!
Answers
Answer:
C. 10
Step-by-step explanation:
Answer:
C= 10
Step-by-step explanation:
Maddie's office recycled a total of 12 kilograms of paper over 4 weeks. How many weeks will it take Maddie's office to recycle a total of 15 kilograms of paper? Assume the relationship is directly proportional.
Answers
2) Does the pair of ratios form a proportion? *
3 points
Yes
No
Answers
Answer:
e
Step-by-step explanation:
The sum of three consecutive multiples"
of 8 is 192. Find the multiples.
Answers
Answer:
7,8,9
Step-by-step explanation:
192/8=24
X+(x+1)+(x+2)=24
3x+3=24
3x=21
x=7
so it’s 7,8,9
the more recent question you asked steps
Apply the fractions formula for multiplication, to
13×45
and solve
1×43×5
=415
Therefore:
13×45=415
Step-by-step explanation:
The angle of elevation of top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. The length of the tower is a.√3 m b.2√3 m c.5√3m d.10√3 m
Answers
Answer: d
Step-by-step explanation:
Note that the distance to the tower and the height of the tower create a right triangle at the base of the tower. The equation to find the height of a right triangle is to multiply the length times the tangent of angle β.
Given:
b = a · tanβ
tan(30°) = √3/3
Step 1: Solve
b = (30/1) · (√3/3)
b = (30 · √3) / (1 · 3)
b = (30√3) / (3)
b = 10√3
Mary is standing out on the balcony of her apartment which is 40 feet above the ground and looks up at a 31° angle to see her friend Sue who is standing on her balcony. If Mary and Sue's apartments are 20 feet apart from one another, how high off the ground is Sue?
Answers
Answer:
52 feet
Step-by-step explanation:
This situation can be represented by the attached figure as in the answer area.
Let M be the location of Mary.
Let S be the location of Sue.
Distance between apartments is given as 20 feet.
Distance between ground and balcony of Mary is 40 feet.
There is a right angled [tex]\triangle MOS[/tex].
[tex]\angle OMS = 31^\circ[/tex]
To find:
The distance SO + 40 feet.
We can use tangent ratio here in right angled [tex]\triangle MOS[/tex].
[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]
[tex]tan31^\circ = \dfrac{SO}{MO}\\\Rightarrow tan31^\circ = \dfrac{SO}{20}\\\Rightarrow SO=20\times 0.6\\\Rightarrow \bold{SO=12\ ft}[/tex]
Height of Sue above ground = 40+12 = 52 feet
100 times 90 times 5 plus 5
Answers
Answer:100 times 90 times 5 plus 5 is
Step-by-step explanation:45005 plz give brainlyist i Need it
Does anybody know what 4/5 as a percentage?
Answers
Answer:
4/5 is 80 as a percentage because 0.8 is written as 80% in percentage.
what's the length of one leg of a right triangle if the length of the hypotenuse is 25 units and the length of the other leg is 15 units
Answers
Find the geometric mean of 3 and 48.
Answers
Write a scientific notation in standard form 125.41
Answers
Answer:
1.2541 x^2
Step-by-step explanation:
A gardener is planting two types of trees: Type A is 10 feet tall and grows at a rate of 19 inches per year. Type B is 4 feet tall and grows at a rate of 25 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.
Answers
Answer:
It'll take 12 years
Step-by-step explanation:
Given
Type A:
[tex]Initial\ Height = 10ft[/tex]
[tex]Growth = 19in[/tex]
Type B:
[tex]Initial\ Height = 4ft[/tex]
[tex]Growth = 25in[/tex]
Required
Determine the years they'll reach the same height
First, convert feet to inches in both measurements (this is done by multiplying measurement by 12):
Type A:
[tex]Initial\ Height = 10ft[/tex]
[tex]Initial\ Height = 10 * 12in[/tex]
[tex]Initial\ Height = 120in[/tex]
Type B:
[tex]Initial\ Height = 4ft[/tex]
[tex]Initial\ Height = 4 * 12in[/tex]
[tex]Initial\ Height = 48in[/tex]
The height at any year from both trees is calculated using
[tex]Height = Iniital\ Height + Growth * x[/tex]
Where x represents the year;
For Type A:
[tex]Height = 120+ 19 * x[/tex]
[tex]Height = 120+ 19x[/tex]
For Type B:
[tex]Height = 48+ 25 * x[/tex]
[tex]Height = 48+ 25x[/tex]
To get when their height will be equal, we simply equate both expressions:
[tex]48+ 25x = 120 + 19x[/tex]
Collect Like Terms
[tex]25x - 19x= 120 - 48[/tex]
[tex]6x= 72[/tex]
Solve for x
[tex]x = 72/6[/tex]
[tex]x = 12[/tex]
Hence, It'll take 12 years
Jessica wants to spend less than $50.00 per month on her cell phone bill. Write an inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $50.00. Use the symbol for your inequality.
Answers
Missing part of question:
Jessica pays a flat rate of $20 for her cell phone and is charged $0.05 for every text she sends.
Answer:
20.00 + 0.05x < 50.00
Step-by-step explanation:
Given
Base Amount = $20
Rate = $0.05 per text
Budget = Less than $50.00
Required
Write an inequality that represents the scenario
Let x represents the number of texts
To solve this, the base amount when added to the amount paid for x text must be LESS THAN Jessica's budget.
Mathematically, we have:
Base Amount + Rate * x < Budget
Substitute values for Base Amount, Rate and Budget, this gives:.
20.00 + 0.05 * x < 50.00
20.00 + 0.05x < 50.00
Hence, the inequality that represents the scenario is 20.00 + 0.05x < 50.00
Solving further for x, we have:
20.00 + 0.05x < 50.00
Collect Like Terms
0.05x < 50.00 - 20.00
0.05x < 30.00
Solve for x
x < 30.00/0.05
x < 600
This means that she must send less than 600 text messages.
WILL GIVE BRAINLIEST graph y=-x+2 using the x and y intercepts (show your work pls)
Answers
Answer:
Look down!!
Step-by-step explanation:
Since two points determine any line, we can graph lines using the x- and y-intercepts. To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y. This method of finding x- and y-intercepts will be used throughout our study of algebra because it works for any equation.
Ex.
4=2+2
y=4
x=2
Hope this helps!!
Answer:
Step-by-step explanation:
the y intercept would be 0,2
to find the x intercept plug in a 0 for y
0=-x+2
-2=-x
x=2
the x intercept would be 2,0
so 2,0 0,2 plot those points and draw a line through that. would look something like this
State the slope and y-intercept of y=-2x-5
Answers
Answer:
the slope is 2, the y intercept is -5
Step-by-step explanation:
Answer:
the slope is -2
and the y-intercept is -5
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
Please answer fast!!! 45 Points!!!
Which of the following groups of side lengths could form a right triangle?
A. 20 cm, 99 cm, 101 cm
B. 4 cm, 5 cm, 6 cm
C. 25 cm, 50 cm, 75 cm
D. 30 cm, 60 cm, 90 cm
Answers
Answer:
D because a right degree angle needs to be 90 degrees
Step-by-step explanation:
Brainliest?
Answer:
it is d because none of the others have 90 degrees (hint a right angle is 90 degrees) hope this helps at all?!
Step-by-step explanation:
find the power of questions
Answers
Answer:
To the 4th power
Step-by-step explanation: