Find the values of a and b
please I will mark brainliest.
(make sure to show your work)
Answer:
The required values are a = 29°, b = 20°
Step-by-step explanation:
Angles and Lines
The image shows two lines crossing at a point where three angles are marked: 57°, 7b-17, and 2a-1.
It can be noted that 57° and 7b-17 are linear angles whose sum is 180°:
57° + 7b - 17° = 180°
Solving for b:
7b = 180° + 17° - 57°
7b = 140°
b = 140°/7 = 20°
b = 20°
It can also be noted that 57° and 2a-1 are vertical angles (opposite angles). Vertical angles are congruent, thus:
57° = 2a - 1°
Adding 1:
2a = 58°
a = 29°
The required values are a = 29°, b = 20°
Translate the sentence into an inequality
The sum of 3 and w is grater than 22
how do i do this- my brain has ✨evaporated✨
Answer:
lol
Step-by-step explanation:
im not even sure try using google
Which values are closer to 0 than -2 is? Is this set of values different from the set of values less than -2? Why?
Answer:
-1 is the only value that is closer to 0 than -2.
Step-by-step explanation:
Adele swam the length of the pool in 32.56 seconds. Alexandria swam the length of the pool in 29.4 seconds. How many seconds faster was Alexandria’s time than Adele's time?
Answer:
3.16 seconds
Step-by-step explanation:
32.56 - 29.4 = 3.16
Mrs. Franklin's kitchen is shaped like a rectangle. She has a scale drawing of her kitchen with dimensions 7 inches and 5 inches.
The scale of the drawing is 1/2 inch = 1 foot.
What is the perimeter of Mrs. Franklin's actual kitchen?
Answer:
48 feet
Step-by-step explanation:
7 inches = 14 feet
There are 14 halves in 7 inches.
5 inches = 10 feet
There are 10 halves in 5 inches
14+14+10+10=48
The perimeter is 48 feet
Determine x,y, and z.
80°
100°
55°
60°
The measure ofx is
The measure of y is
The measure of z is
Answer:
Step-by-step explanation:
You can get y and x immediately. z is a bit tricky.
x
The other two angles of a triangle containing x are 100 and 60.
x + 100 + 60 = 180 Add the two terms on the left
x + 160 = 180 Subtract 160 from 180
x = 180 - 160 Combine the right
x = 20
y
y is done exactly the same way.
55 + 80 + y = 180
135 + y = 180
y = 180 - 135
y = 45
z
You have x y and z all in the same triangle. You know x and y so z can be found in much the same way.
x + y + z = 180
20 + 45 + z = 180
65 + z = 180
z = 180 - 65
z = 115
Answer: x = 20
y = 45
z = 115
Step-by-step explanation:
There is one unknown variable in both triangles with known angles. To find the values of x, y, and z, add both the known angles and subract it from 180 degrees. The result will be the value of the variable. When you have both the values of x and y, do the same math to find the value of z.
Step 1: Find the value of x
Add the values of the two known angles in this traingle and subtract it from 180°
80 + 55 = 135
180 - 135 = 45
45° is the value of x
Step 2: Find the value of y
Add the values of the two known angles in this traingle and subtract it from 180°
100 + 60 = 160
180 - 160 = 20
20° is the value of y
Step 3: Find the values of z
Add the values of x and y and subtract it from 180°
45 + 20 = 65
180 - 65 = 115
115° is the value of z
................................................
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Answer:
HAVE A GOOD DAY :)))))))) <3
Step-by-step explanation:
whats one plus 1 x 111111100000+y7897654323456x1
Answer:
Shoyo here!
Step-by-step explanation:
10000000000000000000000000000000
CLASS TIME: You spend 150 minutes in three classes. Write and solve a proportion to find how many minutes you spend in five classes. (Section 3.4)
Answer:
250
Step-by-step explanation:
150 divided by 3 is 50. Meaning you spend 50 minutes per class. 50 times 5 would be 250.
which expression is equivalent to 8/9 divided by 3/4
I am multiple of 70 I am between 300 and 500 I am more than a multiple of 100 who am I
Answer:
The answer is 420.
Step-by-step explanation:
The multiple of 70 lies between 300-500 has three possibilities such as 350,420,490
Answer:
420 hope this helps
Step-by-step explanation:
Please help!! Question is in the picture
Answer: (5,8)
Step-by-step explanation:
So this is a matter of using a system of linear equations
To start if a total of 13 people got a ticket then we know that
x+y=13
x and y being explained in the problem
then if adult tickets are $40 and children tickets are $20 and the total cost is 360 we can set up the next equation
40x+20y=360
If you were to plug in 1 lets say into x that means that 1 person bought a ticket for $40 this shown by 40 (1) this is the same premise for the childrens tickets.
now we have
x+y=13
40x+20y=360
now we can solve by eliminating one of the variables this is done by either getting rid of the x or y and solving for the other. I solved for the y value first this looks like
-40(x+y=13)
40x+20y=360
Distribute the -40 to each value
giving you
-40x-40y=-520
40x+20y=360
add these together from the top down
the x's cancel leaving
-20y=-160
then isolate the y value by dividing both sides by -20
-20y/-20=-160/-20
leaving you with your y point
y=8
This is how many childrens rickets were sold now we can plug into the first linear equation
x+8=13
now easy subtration to isolate the x point
x+8-8=13-8
x=5
Finally leaving you with point (5,8)
Which statement is not always true?
1) The sum of two rational numbers is rational.
2) The product of two irrational numbers is rational.
3) The sum of a rational number and an irrational number is irrational.
4) The product of a nonzero rational number and an irrational number is irrational.
Answer:
its 2
Step-by-step explanation:
for a fact the product of two rational numbers is rational in that statement is always true
An art teacher mixes 20 ounces of yellow paint with 8 ounces of red paint. How many ounces of yellow paint would she need to mix with 18 ounces of red paint to maintain the same proportion
The total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion is 45 ounces and this can be determined by using the unitary method.
Given :
An art teacher mixes 20 ounces of yellow paint with 8 ounces of red paint.
The following steps can be used in order to determine the total amount of yellow paint:
Step 1 - The unitary method can be used in order to determine the total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion.
Step 2 - Let the total amount of yellow paint she needs be 'x'.
Step 3 - So, the value of 'x' can be calculated as:
[tex]x = \dfrac{18}{8}\times 20[/tex]
Step 4 - Simplify the above expression.
[tex]x = 45\;{\rm ounces}[/tex]
The total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion is 45 ounces.
For more information, refer to the link given below:
https://brainly.com/question/25834626
. A man has the choice of running either a host-snack stall or an ice-cream stall at a sea side resort during the summer season. If it is a fairly cool summer, he should make Rs. 5000 by running the hot-snack stall, but if the summer is quite hot, he can only expect to make Rs. 1000. On the other hand, if he operates the ice-cream stall, his profit is estimated at Rs. 6500, if the summer is hot, but only Rs. 1000 if it is cool. There is a 40 per cent chance of the summer being hot. Should he opt for running the hot-snack stall or the ice-cream stall. Give mathematical argument.
Answer:
The investment cost from ice cream is significantly smaller than the hot dog shop, the man could perhaps opt for something like a hot dog stall.
Step-by-step explanation:
The given values are:
Percentage of being hot summer,
= 40%
i.e,
= 0.4
So that,
The percentage of being cold,
= 1 - 0.4
= 60%
Now,
From hot dog, the expected profit will be:
⇒ [tex]5000\times P(cold \ summer) + 1000\times P(hot \ summer)[/tex]
On putting the values, we get
⇒ [tex]5000\times 0.6+1000\times 0.4[/tex]
⇒ [tex]3400[/tex]
From ice-cream stall, the profit will be:
⇒ [tex]6500\times P(hot \ summer)+1000\times P(cold \ summer)[/tex]
On putting the values, we get
⇒ [tex]6500\times 0.4+1000\times 0.6[/tex]
⇒ [tex]3200[/tex]
So the above is the right response.
who wants to be my tutor?????? like actuallly
Answer:
whatchu need help wit?
Step-by-step explanation:
Please helppppp !!!!!!!!!!! Will mark correct Brianliest !!!!!!!!!!!!!!
Answer:
the third side is [tex]\sqrt{85}[/tex]
Step-by-step explanation:
root 85 is already the simplest form
what is the least common mulitple of 12,48,and 96
Answer:
2
Step-by-step explanation:
12/2= 6
48/2= 14
96/2=48
Answer:
Step-by-step explanation:
LCM of 12,48 and 96 is 96
Are rectangles ABCD and WXYZ congruent? Why or why not?
A. Yes, all right angles were preserved
B. Yes, both rectangles have an area of 24 square units.
C. Yes, a 180° rotation about the origin will map ABCD to WXYZ.
D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Answer:
D.
Step-by-step explanation:
ABCD area =12
WXYZ area=24
Answer:
D
Step-by-step explanation:
76-100 vgnfhyyhfhtdfrsgtrrtrtryfhyf hi
Answer:
-24
Step-by-step explanation:
hi
What is the equation, in point intercept form, for a line that goes through (2, -6) and has a slope of -3/4
The answers are in the photo.
Oh and ignore the highlighted answer I mistakenly hit it.
I will give Brainlyist!!!
Answer:
y+6=-3/4(x-2)
Step-by-step explanation:
Direct Variation, Constant of Proportionality, and Constant Rate of Change all represent linear proportional relationships.
In the equation LaTeX: y=kx what does each variable represent.
Answer:
y = dependent variable
k = constant of proportionality or constant rate of change
x = independent variable
Step-by-step explanation:
The equation, [tex] y = mx [/tex] represents a direct variation showing a proportional relationship between variable y and variable x.
y represents the dependent variable
k represents the constant of proportionality or constant rate of change
x represents the independent variable
NEED HELP ASAP PLEASEE
Answer:
can u make a more clear picture ?
Step-by-step explanation:
help would be nice thank you!
Answer:
Option B
Step-by-step explanation:
Given equation gives the information about the temperature in Vancouver over a period of 4 hours.
y = -2x + 43
Here 43 represents the initial temperature and (-2) represents the temperature fall in every one hour.
x = duration or time
Therefore, equation states that initial temperature when measured was 43 °F and it is dropping by 2 degrees per hour.
Option B is the answer.
PLS HELP ILL MARK AS BRAINLESS
Answer: Area is 2250 and the peremiter is 210
Step-by-step explanation:
Answer:
Area :2250
Perimeter: 210
Step-by-step explanation:
For area just multiply the two side lengths and for perimeter just add them all together-75,75,30,30.
[tex] \frac{ - 2 + 3 \times 6} 5[/tex]
I need help please
Answer:
Step-by-step explanation:
we do first the multiplication 3*6=18
-2+18=16
16/5 is your answer or 3.2
Dr. Brown did 6 experiments at 7AM. Dr. Rachal did 8 experiments at 6PM. They both had 564 tools each. Dr. Brown used 386 and Dr. Rachal used 236. How many more experiments do they do with the tool? How many tools are left?
Answer:
Step-by-step explanation:
Total number of tools for both = 564.
Dr Brown used 386 tools for 6 experiments.
average number of tools per experiment used by Dr Brown = [tex]\frac{386}{6}[/tex]
= 64[tex]\frac{1}{3}[/tex]
Dr Rachal used 236 tools for 8 experiments.
average number of tools per experiment used by Dr Rachal = [tex]\frac{236}{8}[/tex]
= 29[tex]\frac{1}{2}[/tex]
i. The number of more experiment that can be done by Dr Brown = (564 - 386) ÷ (64[tex]\frac{1}{3}[/tex])
= 2.7668
Dr Brown can do two more experiments.
The number of more experiments that can be done by Dr Rachal = (564 - 236) ÷ (29[tex]\frac{1}{2}[/tex])
= 11.1186
Dr Rachal can do 11 more experiments.
ii. Number of tools left after Dr Brown's experiments = 564 - 386
= 178
Number of tools left after Dr Rachal's experiments = 564 - 236
= 328
If an arithmetic sequence
begins with a 6 and the constant term is 2, what would be the
fourth term of the sequence?
plsssss help
Answer:
a₄ = 12
Step-by-step explanation:
To obtain the terms in the sequence add 2 to the previous term, that is
a₂ = a₁ + 2 = 6 + 2 = 8
a₃ = a₂ + 2 = 8 + 2 = 10
a₄ = a₃ + 2 = 10 + 2 = 12
PLEASE HELP ILL GIVE BRAINLIEST
Answer: the third one
Step-by-step explanation:
because there all increasing by 7