Answers
Answer:
<A = 76°
<B = 63°
<C = 41°
Plug in the value of x
<C = 34 + 7
<C = 41°
Step-by-step explanation:
[tex] 63 + (2x + 8) + (x + 7) = 180 [/tex] (sum of ∆)
Solve for x
[tex] 63 + 2x + 8 + x + 7 = 180 [/tex]
Add like terms
[tex] 78 + 3x = 180 [/tex]
Subtract 78 from each side
[tex] 78 + 3x - 78 = 180 - 78 [/tex]
[tex] 3x = 102 [/tex]
Divide both sides by 3
x = 34
<A = 2x + 8
Plug in the value of x
<A = 2(34) + 8 = 76°
<B = 63°
<C = x + 7
Plug in the value of x
<C = 34 + 7
<C = 41°
Related Questions
the sum of two numbers is 10 and their difference is 4
Answers
Answer:
7 and 3
Step-by-step explanation:
7 + 3 = 10
7 - 3 = 4
Given the speeds of each runner below, determine who runs the fastest. \text{Tony runs 12 feet per second.} Tony runs 12 feet per second. \text{Katie runs 450 feet in 30 seconds.} Katie runs 450 feet in 30 seconds. \text{Frank runs 1 mile in 577 seconds.} Frank runs 1 mile in 577 seconds. \text{Adam runs 880 feet in 1 minute.} Adam runs 880 feet in 1 minute.
Answers
Answer:
Katie runs fastest
Step-by-step explanation:
For us to know the person who runs fastest, we need to calculate their speed in feet per seconds (ft/s)
For Tony; his speed is 12ft/s
For Katie;
Katie runs 450 feet in 30seconds;
450 feet = 30 secs
x = 1 sec
Cross multiply
30x = 450
x = 450/30
x = 15ft
Hence Katie runs 15ft/s
For Frank;
Frank ran 1 mile per 577secs
1 mile = 5280feeet
This mean that he ran 5280feet in 577 secs
5280feet = 577secs
y = 1 secs
cross multiply;
577y = 5280
y = 5280/577
y = 9.15ft/s
Hence Frank ran 9.15ft/s
For Adam;'
If Adam ran 880 ft in 1 minutes, this means he ran 880ft in 60secs
880 ft = 60secs
z = 1sec
Cross multiply
60z = 880
z = 880/60
z = 14.67ft/s
Hence Adam ran 14.67ft/s
From the value of their speed, we can see that Katie runs fastest with a speed of 15ft/s
Find 3 ratios that are equivalent to the given ratio.
12 to 30
Answers
Answer:
4:10
24:60
48:120
As long as you multiply or divide both sides of the ratio by the same number, you will have an equivalent ratio.
A wildlife preserve features a crocodile with a documented age of 24 years, believed to be one of the oldest crocodiles in captivity. The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years. What proportion of crocodiles have lifespans of at least 24 years? Find the z-table here. O 0.0104 O 0.3336 O 0.4896 O 0.6664
Answers
Answer:
0.0104
Step-by-step explanation:
Given that, the lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.
So, mean, [tex]\mu=18[/tex]
and standard deviation, [tex]\sigma=2.6[/tex]
The z-score, for any arbitrary life span of x year, is given by
[tex]z=\frac{x-\mu}{\sigma}[/tex]
By using the given values, we have
[tex]z=\frac{x-18}{2.6} \cdots(i)[/tex]
The z-score for x=24, by using equation (i), is
[tex]z=\frac{24-18}{2.6}=\frac{6}{2.6}=2.31[/tex]
From the table, the area to the left side of z=2.31 =0.98956
But, the proportion of crocodiles have lifespans of at least 24 years
= Area to the right side of the z=2.31
=1- (Area to the left side of the z=2.31)
=1-0.98956
=0.01044
So, the proportion of crocodiles that have lifespans of at least 24 years is 0.0104.
Hence, option (a) is correct.
Answer:
A
Step-by-step explanation:
PLEASE ITS DUE TONIGHT!!!! Sally rides her bike to run errands. It takes her 18 minutes at 10 mph to get to her first stop. She spends 20 minutes riding at 12 mph to get to her second stop. It then takes her 15 minutes riding at 15 mph to get home. a. Draw a speed vs. time graph for the time that Sally spent riding her bike. b. How far did she travel?
Answers
Answer:
The equation that relates distance, rate, and time is
d = rt
Step-by-step explanation:
At the bottom it says
m/_XZY=
Please help
Answers
Answer:
x=13
Step-by-step explanation:
Once again, all three angles of a triangle add up to 180° so we can form the equation: 47+90(this is the right angle)+4x-9=180°
Algebra:
47+90+4x-9=180
128+4x=180
4x=52
x=13
Hope this helps!! :) And that's all the time I have!! :( You can do it!! Good luck with the rest of your homework! :D
13
According to the social hierarchy below, which of the
following held a higher place in society?
A
slaves
B
scribes
C С
Craftworkers
D
peasants/farmers
Answers
Lucas read a 480 page book from cover to cover in a single session, at a constant rate. After reading for 2.5 hours she had 400 pages left to read. How fast was sara reading
Answer: ____ pages per hour
Answers
Answer:
32 pages per hour
Step-by-step explanation:
Select all of the situations which can be represented by the expression 25.75x + 10.
Carol has $25.75. She earns $10.00 for each car that she washes.
Max has $10.00. He earns $25.75 for every lawn that he mows.
Jin buys x postcards for $25.75 each and x keychains for $10.00 each.
Sasha sells a scarf for $10.00 and x jackets for $25.75 each.
Jon buys 10 toy cars for $25.75 each
Answers
Answer:
-Max has $10.00. He earns $25.75 for every lawn that he mows.
-Sasha sells a scarf for $10.00 and x jackets for $25.75 each.
Step-by-step explanation:
any real number is equal to itself a=a
Answers
Answer:
well no, π is a real number and 1/9 is a real number but they are not equal
Yes, If you saying a=a
Step-by-step explanation:
Answer:
Yes, that's true
Step-by-step explanation:
If a real number is the representation of a specific value, then said number should equal itself.
Enter the equation in standard form.
y − 6 = −(x + 4)
Answers
====================================================
Work Shown:
y - 6 = -(x + 4)
y - 6 = -x - 4
y = -x - 4 + 6 ..... adding 6 to both sides
y = -x + 2
y + x = 2 .... adding x to both sides
x + y = 2
The equation is in standard form Ax+By = C, with A = 1, B = 1, and C = 2.
Helppppppppppppppppppp
Answers
Merry Christmas
I'M IN A HURRRRYYYYYY
PLEASEE HELP
18 POINTS
Which expression is equivalent to square root 80
^4 square root 2 times square root 5
square root 2^4 times square root 5
square root 2 times square root 2 times square root 5
square root 2^2 times square root 2^2 times square root 5^2
Answers
Answer:
4 square root 5 (A)
Step-by-step explanation:
Given: square root of -80
We have to find an equivalent expression.
(hope this helps) :))
Answer:
I think the second one. I could be wrong
Step-by-step explanation:
63x19 estimate and choose method
Answers
Answer:
1200 would be an estimate
Step-by-step explanation:
Rounding to the nearest 10's digits would be a method of estimation. For example, in this case, 63 would round down to 60 and 19 would round up to 20 for a quick estimate. 60 times 20 = 1200
Answer:
1197
Step-by-step explanation:
63 x 19 = 1197
Can you mark me brainliest
Grace's retirement party costs $2plus an additional $1 for each guest she invites. What is the maximum numbe of guests there can be Grace can afford to spend a total of $15 on her retirement party?
Answers
Answer:
5 people?
Step-by-step explanation:
Because if 2 dallars plus one thats 3 and she only has 15 if she wants to only spend that she onlyinvite 5 if she only has 15 bucks
10 is what percent of 625
Answers
Answer:
1.6
Step-by-step explanation:
Answer:
1.6% hope this helps a little
Step-by-step explanation:
Please help me with my homework
Answers
Answer:
$13.25
Step-by-step explanation:
Consider these graphed number lines.
Graph A
-5 4 -3 -2 -1 0 1 2 3 4 5
Graph B
Which number line represents the solution for the
inequality 12x - 5] > 3?
O graph A
O graph B
O graph C
O graph D
-5 -4 -3 -2 -1 0 1 2 3 4 5
Graph C
-5 4 -3 -2 -1 0 1 2 3 4 5
Graph D
-54 -3 -2 -1 0 1 2
3 4 5
Answers
Answer: Graph A
Step-by-step explanation:
got it right edg2021
Dan buys a package of 12 cans of lemonade for $3.72. What is the unit price per can?
A
$0.37
B
$0.32
C
$0.31
D
$0.12
Answers
Answer:
$0.31
Step-by-step explanation:
Unit price is measured by dividing the price by the amount of an item, so 3.72/12 = 0.31
Answer: The answer is C
Step-by-step explanation:
Find the area of a circle with a radius of 5 feet. Round your answer to the nearest tenth. Find the area of a circle with a diameter of 56 millimeters. Round your answer to the nearest hundredth.
Answers
Case 1 :
Radius, r = 5 feet.
Area,
[tex]A=\pi r^2\\\\A = 3.14\times 5^2\ feet^2\\\\A = 78.5\ feet^2[/tex]
Case 2 :
Diameter, d = 56 mm.
So, radius, r = d/2 = 28 mm.
Area,
[tex]A = 3.14\times 28^2\ mm^2\\\\A = 2461.76\ mm^2[/tex]
Hence, this is the required solution.
y + 1 = -2x-3 in standard form *
Answers
Answer:
y = -2x - 4
Step-by-step explanation:
y + 1 = -2x - 3
Subtract 1 from both sides to get the y by itself
y = -2x - 3 - 1
Simplify (Combine Like terms)
y = -2x - 4
Y+3=X+4 Whats is the slope of the equation
Answers
Answer:
slope = 1
Step-by-step explanation:
Write the equation in slope-intercept form: y = mx +b
y + 3 = x + 4
y = x + 4 - 3
y = x + 1
Slope = 1
if y=6 and x=-2, find x when y=-3
Answers
Answer:
1
Step-by-step explanation:
if you divide 6 by -2 you will end up with -3, so then you will divide -2 by -2 and you will get 1.
Find the length of arc ab. Need help!!!
Answers
Answer:
12.4cm (rounded to nearest tenth)
Step-by-step explanation:
To find the length of an arc, you have to find the circumference of the full circle itself multiplied by the angle of the arc over 360°. The circumference of a circle is pi × r × 2.
Length of arc = [tex]\frac{90}{360}[/tex] × 3.14 × 7.9 × 2
= 12.403
≈ 12.4cm (rounded to nearest tenth)
A Rhombus is labeled ABCD. If the slope of AC is 1/2, what is the slope of BD?
Answers
I hope this helps
Which puts the equation 2x + y = 5 into slope-intercept form?
Answers
Answer:
y= -2x+ 5
Step-by-step explanation:
plug in y=mx+b
The equation 2x + y = 5 written in the slope-intercept form is y = -2x + 5, where the slope is -2 and the intercept is 5.
An equation in the slope-intercept form is written as y = mx + c.
The given equation is 2x + y = 5.
To write the given equation in slope-intercept form, subtract both sides of the equation with 2x,
(2x + y) - 2x = 5 - 2x
2x + y - 2x = 5 - 2x
y = 5 - 2x
Rearrange the terms
y = -2x + 5
Here, -2 is the slope and 5 is the intercept.
Thus, the slope-intercept form of the equation 2x + y = 5 is y = -2x + 5.
Learn more about Equation here:
https://brainly.com/question/28953876
#SPJ6
Triangle with angles 1, 2, 3 has a baseline k, and triangle with angles 4, 5, 6 has a baseline l. Lines k and l are parallel. Given that k ∥ l, identify the congruent angles in the triangles. ∠1≅ ∠2≅ ∠3≅
Answers
Answer:
angel 5,4,and 6 in that order
Step-by-step explanation:
Answer:
look at the pictureeeeeee
Step-by-step explanation:
Combine the like terms to create an equivalent expression.
12r + 5 + 3 + 4r
Answers
Answer:
16r+8
Step-by-step explanation:
12r+4r+8=
16r+8
#CountryMusic
and ig the question is what is the scientific notation of 0.0021
Answers
Answer:
0.0021 in scientific notation is [tex]\mathbf{2.1 x 10 ^ {-3}}[/tex]
Step-by-step explanation:
We need to write 0.0021 in scientific notation.
Scientific Notation: A number expressed in scientific notation is written when numbers between 1 to 10 are multiplied by a power of 10.
In the given example 0.0021 our decimal will be shifted to the right 3 digits and the power will be negative 3 (-3)
So, 0.0021 in scientific notation is [tex]\mathbf{2.1 x 10 ^ {-3}}[/tex]
To practice for an upcoming hot air balloon race,one team traveled 148 miles south to offload some packages.After that,they traveled another 132 miles north.Which of the best describes the estimate of how many miles the balloon team traveled in all.
Answers
Answer:
280 miles in allStep-by-step explanation:
Step one:
given data
we are told that the team traveled 148miles south.
and also they traveled 132miles north.
Step two:
We are expected to solve for the total distance the team traveled
Hence total distance= 148+132= 280 miles in all
Note: the team;'s displacement is 148-138= 10miles in