Answers
Answer:
[tex] \huge \: x = 7 {0}^{o} \\ \: \huge \: y = 3 {0}^{o} \\ \huge z = {20}^{o} [/tex]Step-by-step explanation:
to understand thisyou need to know about:trianglesequationPEMDAStips and formulas:a straight line contains 180°a triangle contains 180°let's solve:equation for x
according to the question
110°+x=180°
x=180°-110°
x=70°
equation for y
according to the question
[tex]11 {0}^{o} + {40}^{o} + y = 18 {0}^{o} [/tex]
[tex]15 {0}^{o} + y = 180^{o} [/tex]
[tex]y = 18 {0}^{o} - 15 {0}^{o} [/tex]
[tex]y = 3 {0}^{o} [/tex]
equation for z
according to the question
90°+x+z=180°
90°+70°+z=180° (since x=70°)
160°+z=180°
z=180°-160°
z=20°
Answer:
X= 70
Z= 20
y= 30°
Step-by-step explanation:
Finding X:
Sum of angle in a straight line is 180
Therefore X = 180-110
Finding z:
Sum of angle in triangle is 180, and it’s a right angled triangle (90°)
Z= 180-(x+90)
Z= 180-( 70+90)
Finding y, look at the big triangle ABC:
There’s a right angle and <C is 40°,
Therefore <B is 180-(40+90)= 50°
<B= y + z
50° = 20° + y
y= 30°
Related Questions
Standard
Expanded
Written
6000 + 900 + 10 + 5
Answers
Answer: This is written in Expanded form.
Step-by-step explanation: The number is 6,915, to write a number in expanded form, write it's place values by the number it's in.
Ex: Expanded form of 5,731: 5,000 + 700 + 30 + 1
y=x-2
make x the subject
Answers
Answer:
x + 2 = y
Step-by-step explanation:
y = x - 2
x = y - 2
x + 2 = y
Answer:
x=y-2Step-by-step explanation:
x equals y -2 that is the answer to this equation
Under her cell phone plan, Sofia pays a flat cost of $58.50 per month and $4 per gigabyte. She wants to keep her bill at $76.50 per month. Write and solve an equation that can be used to determine gg, the number of gigabytes of data Sofia can use while staying within her budget.
Answers
Answer:
To stay within budget, she must use 4.5 gigabytes.
Step-by-step explanation:
Giving the following information:
Under her cell phone plan, Sofia pays a flat cost of $58.50 per month and $4 per gigabyte. She wants to keep her bill at $76.50 per month.
First, we need to establish the total cost formula:
Total cost= 58.5 + 4*x
x= number of gigabytes
Now, we isolate x:
76.5= 58.5 + 4x
18/4= x
4.5= x
To stay within budget, she must use 4.5 gigabytes.
Help it’s timed tooo...
Answers
Answer:
3
Step-by-step explanation:
Same sides
To keep her pet groundhog Marley happy, Gwen built a rectangular pen for Marley with an area of 242 square feet. She only had 66 feet of fencing to use, and wanted the length to be twice as long as the width. What are the dimensions of the pen?
Answers
Find the difference:
Plz help giving brainly and thanks!
Answers
Answer: 9/20
Step-by-step explanation:
[tex]2 \frac{1}{4}=2.25\\\\1 \frac{4}{5}=1.8\\\\2.25-1.8=0.45=\frac{9}{20}[/tex]
The radius r of the base of a cone is given by the equation r=(3V/piH)
, where V is the volume of the cone and h is the height of the cone. Find the radius of the paper cup to the nearest inch. Use 3.14 for pi .
Answers
Answer:
1 inStep-by-step explanation:
Given the expression to calculate the radius r of the base of a cone is given by the equation
r=(3V/piH)
v is the volume = 5in^3
H = 4in
pi = 3.14
Substitute
r = 3(5)/3.14(4)
r = 15/12.56
r = 1.19
r = 1in to the nearest inch
What is 4xy-3xz+y-2x-5=
Answers
Answer:
xz+y-2x-5
Step-by-step equation
You can only combine like terms
Name the central angle of the given arc.
Answers
This is the answer
5. Which of the following books in question #4
best represents an "outlier
A Book 7
B. Book 3
C. Book 8
D. There were no outliers in the scatter plot.
Answers
Answer:
c
Step-by-step explanation:
Answer:it’s A
Step-by-step explanation:
What conclusion can you make from the information below?
Three boys (Dmitri, Ken, and Adam) have three different favorite colors (red,green, and blue)
• Dmitri does not like red
• Adam does not like red.
A. Dmitri's favorite color is blue.
B. No one likes green
C. Ken's, favorite color is red
D. Ken's favorite color is not red.
Answers
========================================================
Explanation:
We're told that Dmitri and Adam do not like red. So that must mean that Ken likes red. This immediately leads to choice C as the answer. This is assuming that each boy picks one of the three colors (and no colors can be repeated).
----------------
Extra info:
Choice A is false because we're not sure if Dmitri likes blue or green. We don't have enough info. Choice B is false because someone has to pick green. There are three boys and three colors. Again I'm assuming each person picks one color and the colors aren't repeated.Choice D is false because it contradicts choice C.CAN I GET HELP PLEASE!
Answers
Answer:
0.30 of a book / hour or 3/10 of a book per hour.
Step-by-step explanation:
Usually I tell people to put the numbers into decimals. Unfortunately for this question, it won't work. So we have any choice but to do it with fractions.
r = amount / time
amount = 1/4
time = 5/6
r = [tex]\frac{\frac{1}{4} }{\frac{5}{6} }[/tex]
Invert the denominator and multiply
r = [tex]\frac{1}{4} * \frac{6}{5}[/tex]
r = 6 * 1 / (5*4) = 6/20 = 3/10
The answer is 3/10 of a book per hour
5/6 of an hour is almost an hour.
1/4 of a book is 0.25 of a book.
3/10 of a book is 0.30 of a book. So it looks like it is just about right.
What is the value of the expression? 18 - 2 x (4 + 3)
Answers
Answer:
=−14x+18
Step-by-step explanation:
happy to help ya :)
Answer:
112
Step-by-step explanation:
so you split the question by doing 18 - 2 then do 4 + 3 then you mutiply the answer
show step by step......
Answers
Answer:
Step-by-step explanation:
Amount paid for first 100 watches = (65% of 80) *100
[tex]=\frac{65}{100}*80*100\\\\= 65*80\\= 5200[/tex]
Amount paid for next 50 watches = (55% of 80) * 50
[tex]= \frac{55}{100}*80*50\\\\= 55 * 8 * 5\\\\= 2200[/tex]
Remaining watches = 280 -(100+ 55)
= 280 - 155 = 125
Amount paid for 125 watches = (45% of 80) *125
[tex]= \frac{45}{100}*80*125\\\\= 45 * 20 * 5\\\\= 4500[/tex]
Amount received by the watch maker = 5200 + 2200 + 4500
= £ 11900
Simplify a x b x 8 please?????
Answers
Answer:
8ab
Step-by-step explanation:
Shelter A has 500 beds and is 90% occupied. Shelter B is 60% occupied, the ratio of beds in Shelter A to Shelter B is 15:16
Answers
Answer:
800 bedsStep-by-step explanation:
Shelter A has 500 beds and is 90% occupied.
Number of occupied beds:
500*0.9 = 450The ratio of beds occupied in Shelter A to Shelter B is 15:16
450/x = 15/16x = 450*16/15x = 480Number of occupied beds in Shelter B is 480 which is 60% of total. Total number of beds is:
480/0.6 = 800Answer:
Answer:there are 900 beds in shelter B
Step-by-step explanation:
Shelter A has a capacity of 300 beds and is 80% occupied. This means that the number of beds in Shelter A that would be
80/100 × 300 = 0.8 × 300 = 240 beds.
Let x represent the capacity of Shelter B. Shelter B is 45% occupied. It means that number of beds in Shelter B that would be occupied is
45/100 × x = 0.45 × x = 0.45x beds.
Total occupancy of shelter A and shelter B would be
240 + 0.45x
The ratio of the occupancy of shelter A to shelter B is 16:27
Total ratio of occupancy = 16 + 27 = 43
Therefore
27/43 × (240 + 0.45x) = 0.45x
27(240 + 0.45x) = 0.45x × 43 = 19.35x
6480 + 12.15x = 19.35x
6480 = 19.35x - 12.15x = 7.2x
x = 6480/7.2 = 900
Step-by-step explanation:
Mr. Dalton only buys two brands of snack bars for his kids: Grateful Grain and Granola Delight. Last week at the store, he bought fewer Grateful Grain bars than Granola Delight bars, but he paid the same amount for both. If he decides to buy the same number of each brand this week, which brand will he spend more money on?
A)gratefull grain
B)granola delight
btw this is Compare rates: word problems
plz answere
Answers
Juliette made cookies for a bake sale and wants to package the same number of cookies together. If she makes 16 chocolate chip cookies, 32 mint cookies, and 24 gingerbread cookies, what is the most number of each type of cookie that will be in the bag?
Answers
Answer:
8 cookies
Step-by-step explanation:
We are asked in the above question to find the most number of cookies that would be in the bag.
We solve the above question using the Greatest Common Factor method
We find the factors of 16, 24, 32
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 32 are: 1, 2, 4, 8, 16, 32
Then the greatest common factor is 8.
Therefore, the most number of each type of cookie that will be in the bag is 8 cookies
Carmella simplified the following rational expression. (2x ^ 2 + 7x + 3)/(4x + 12) = ((2x + 1)(x + 3))/(4(x + 3)) = ((2x + 1)(x + 3))/(4(x + 3)) = (2x + 1)/4 After simplifying the expression , she stated that there are no restrictions on x since the denominator of her answer is a constant and cannot possibly equal Did Carmella make any mistakes in her problem ? If explain and correct her mistake ( s ) .
Answers
Answer: No, she is right
Step-by-step explanation:
[tex]\frac{2x^2+7x+3}{4x+12}[/tex]
Factor the trinomial, what two numbers multiply to equal 6 but add to equal 7. That is 6 and 1.
[tex]\frac{2x(x+3)+(x+3)}{4(x+3)}[/tex]
The (x+3) will cancel
[tex]\frac{2x+1}{4}[/tex]
Find the total surface area of a cylinder whose diameter is 28 cm and height is 11 cm.
Answers
Answer:
2199.11 (with pi)
2198 (with 3.14)
Step-by-step explanation:
A=2πrh+2πr²
A=2π(14)(11)+2π(14)²
A=2π(154)+2π(196)
A=2(483.56)+2(615.44)
A=967.12+1230.88
Write the equation of a line that is parallel to the line y=4x+2 and passes through the point (4,1)
Answers
Answer:
y = 4x-13
Step-by-step explanation:
The standard equation of the line is y = mx+c
m is the slope
c is the intercept
Given the equation y = 4x+2
The slope m = 4
Substitute m = 4 and the given point into the formula y = mx+c
1 = 4(4)+c
1 = 14+c
c = -13
Get the equation
Recall that y = mx+c
y = 4x + (-13)
y = 4x-13
Hence the required equation is y = 4x-13
What is the product of 14.5 and 20.2?
Answers
Answer:
292.9
Step-by-step explanation:
Given that is the midpoint of AB and E is the midpoint of AC, AD =32cm, AE=19cm, and DE=39cm, determine the perimeter of DBCE
Answers
Answer:
since triangle AED similar to ACB
CE=19cm mid point bisect it
BD=32Cm mid point bisect it
Step-by-step explanation:
BC=2DE=2×39=78Cm
perimeter=sum of all side=ce+de+bd+bc=19+39+32+78=168cmtherefore perimeter of DBCE=168CmI need help with this please
Answers
Answer:
Car B is going faster
Step-by-step explanation:
Car B has a higher rate.(It goes 20 more miles per hour)
A regular pentagon's sides each have a length of 7 cm and an apothem of 8 cm. What's the area of the pentagon? (giving brainliest!!)
150 cm²
146 cm²
127 cm²
140 cm²
Answers
Answer:
140 cm^2
Step-by-step explanation:
(5 apothems cut the pentagon into 5 rectangles 8 x 3.5)
3.5 x 8 x 5 = 140 cm^2
A) describe each two-dimensional figure cross section that results from slicing each three-dimensional figure
B)describe the two dimensional figure cross section that results from slicing the cylinder number 6 with a vertical cross-section
PLEASE HELP QUICK
I WILL MARK BRAINLYIEST'
Answers
AnswerWE NEED MORE
Step-by-step explanation:
PLZ HELP LIKE NOWWWW
Answers
What is help needed on?
does anyone know how to solve this? :(
Answers
Answer:
i dont know but my Friends do
whats 3472532*67 then divided by 3? Thank you! -Ibuki
Answers
Answer:
77,553,214.66666667
Step-by-step explanation:
calculater
Answer:
77553214 2/3
Step-by-step explanation:
i squeezed out the baby yet i have no idea who the father is
Math Help plz. I cant figure it out.
Answers
Answer:-1 1/3 because 5 1/3+-4 1/6 is like subtracting them as a positive and you get 1 1/6 then subtract 2 1/2 to get -1 1/3
Step-by-step explanation: