Answer:
a. x= 9
b. 70
c. 110
d. 70
e. 110
Step-by-step explanation:
a.
congruent angles have the same measure. 1 and 3 are congruent and 2 and 4 are congruent
2(12x+2)+2(7x+7)=360
divide both sides by 2
12x+2+7x+7=180
combine like terms
2+7=9
12x+7x=19x
19x+9=180
subtract both sides by 9
19x=171
divide both sides by 19
x=9
7x+7,
7*9+7
63+7 = 70
1 is 70, 3 is 70
12x+2, x=9
108+2 = 110
2 and 4 is 110
Answer:
Step-by-step explanation:
Angles 1 and 2 are supplementary (their sum is 180 degrees)
7x + 7 + 12x + 2 = 180
19x= 171
x = 9
m 1 = 7 * 9 + 7 = 70 degrees
m 2 = 12 * 9 + 2 = 108 + 2 = 110 degrees
m 3 = angle 1 and angle 3 are vertical, so they have the same measure: 70 degrees.
m 4 = angle 2 and angle 4 have the same measure: 110 degrees
Which expression is equivalent to
Solve for x in the triangle round your answer to the nearest tenth
Pls help ASAP!!
Answer:
x = 3.9
Step-by-step explanation:
cos = adj/hyp
cos67 = x/ 10
x = 10 * cos67
use calculator
x = 3.9
x^2+25
A.(x+5)(x+5)
B.(x+5)(x-5)
C.(x-5)(x/5)
D.prime
Answer:
c
Step-by-step explanation:
A hotel room is originally priced at $159.00 per night during the week (Monday-Thursday). On weekends (Friday - Sunday), the price increases by 12%. What is the price of a hotel room on a Saturday night?
HELLPPPP YALLLLLLLLK ASAPPPPP
4) Let the number be : N
Given : 10% of this number is 25
[tex]\sf{\implies 10\% \ of \ N = 25}[/tex]
[tex]\sf{\implies \dfrac{10}{100} \times N = 25}[/tex]
[tex]\sf{\implies \dfrac{N}{10} = 25}[/tex]
[tex]\sf{\implies N = 250}[/tex]
Now we need to find 60% of 250
[tex]\sf{\implies \dfrac{60}{100} \times 250}[/tex]
[tex]\sf{\implies 6 \times 25}[/tex]
[tex]\sf{\implies 150}[/tex]
5) Given : James left the home at 10 : 00 AM
First : He will meet his friend Tom at the skate park which is 15 minutes walk from his home.
So, James reached the skate park 10 : 15 AM
Second : They stayed at the skate park for an hour
So, till 11 : 15 AM James and Tom were at skate park
Third : Then they will take a 10 minutes walk over to the Burger bar
So, James and Tom reached the Burger bar at 11 : 25 AM
6) First let us find 75% of 80
[tex]\sf{\implies \dfrac{75}{100} \times 80}[/tex]
[tex]\sf{\implies 15 \times 4}[/tex]
[tex]\sf{\implies 60}[/tex]
Now let us find 40% of 30
[tex]\sf{\implies \dfrac{40}{100} \times 30}[/tex]
[tex]\sf{\implies 12}[/tex]
Now, (60 - 12) = 48
Answer: 75% of 80 is 48 greater than 40% of 30
7) Given : Journey to school takes 70 minutes
We know that : 1 hour = 60 minutes
So, 70 minutes = 1 hour + 10 minutes
Given : Boy leaves the home at 0715
Answer: The Boy arrives at 0825
Write 240000 in standard form
Answer:
240,000
Step-by-step explanation:
standard form means the way you would write it
The monthly rent of a house is Rs4200. The rent is decreased by 15%. Calculate the new rent.
Answer:
3570
Step-by-step explanation:
the current monthly rent is 4200.
now, decreasing it by 15% means to reduce it, to subtract 15% from it.
4200 = 100%
42 = 1%
15% = 42 × 15 = 630
so, the new rent is 4200 - 630 = 3570
can someone pls help me find the gradient and y-intercept of the last 2 questions . tysm i will give brainliest !
please help me step by step
a)
sin18 = AB/80
AB = (sin18)(80) = 24.7214 m
b)
tan25 = BT/AB = BT/24.7214
(24.7214)(tan25) = BT
BT = 11.5278 m
Help plsssssssssssss
Answer:
1; 1....... 2;4.....3;5........4;10.....5;5.......6;;5
Step-by-step explanation:
yOU COUNT HOW MANY TIMES YOU SEE 1,2,3,4,5,6
A bag contains three red marbles and two blue marbles.
(1.) What is the probability of reaching in and pulling out a red marble?
(2.) Chloe reaches in the bag, pulls out a marble, puts it back in the bag, and pulls out another marble. What is the probability that both marbles are blue?
(3.) Chloe reaches in the bag, pulls out a marble, does NOT put it back in the bag, then pulls out another marble. What is the probability that both marbles are blue?
Thank you
Answer:
1. 3/5
2. 2/5
3. 1/5
Step-by-step explanation:
I'm pretty sure this is the answer :)
Find mAC.
Pls help me
Answer:
Measure of Arc AC is 30 degrees
Step-by-step explanation:
To find the value of the marked arc, we are going to use the arc-angle relationship
from the type of given diagram, we can figure out the relationship to use
Mathematically, we have this as;
Measure of Arc AC = 2 * angle ABC
So we have arc AC as 2 * 15
Arc AC = 30 degrees
What is the range of the function shown below?
Answer:
y ≤ 0
Step-by-step explanation:
The correct option is option C. The range of the given function is less than or equal to zero i.e., y ≤ 0.
What are domain and range of a function?
Range is the set of all values that the given function can output, whereas domain is the input or set of values for which the function is defined.
The graph of a function is shown. We know that the range of function is the output of the input of values we give to the function. Another thing to keep in mind is that we often plot functions with the outputs on the vertical axis and the inputs on the horizontal axis.
From graph it is clear that the function is going down from axis to negative y - axis.
So , it is clear that range will be less than or equal to zero.
i.e.,
Range is :
y ≤ 0
Therefore , the correct option is option C. The range of the given function is less than or equal to zero i.e., y ≤ 0.
Learn more about range of a function here :
https://brainly.com/question/10197594
#SPJ2
Please help me it’s for a quiz
A fenced pasture has a central rectangular corral within it that measures 8m by 5m.
The total area of the fenced pasture (outside the corral) is three times the area of the central corral.
What is the area of the central corral?.
If the width of the pasture border is the same for each side of the central corral,
what is the width of the border?
Draw a labeled picture, use let statements and show your work.
Answer:
*cough**cough* Ms. Roth?
Help please and thank you...
Answer:
Its b) 55
Step-by-step explanation:
trust me,......
A copper key is placed in a cylindrical container with a 3-cm diameter. The water level rises from 14 cm to 14.6 cm. What is the volume of the key?
Options:
The volume is about 4.24 cm^3.
The volume is about 3.72 cm^3.
The volume is about 2.96 cm^3.
The volume is about 1.41 cm^3.
Answer:
The volume is about 4.24 cm^3.
Step-by-step explanation:
From the question we are told that:
Diameter[tex]d= 3-cm[/tex]
Radius [tex]r=d/2=>1.5cm[/tex]
Height risen[tex]14.6-14=0.6cm[/tex]
Generally the equation for Volume of a Key is mathematically given by
Since Volume of a cylinder is Given as
[tex]V=\pir^2h[/tex]
Therefore
[tex]V=\pi*1.5^2*0.6[/tex]
[tex]V=4.2417\\\\V=4.24 cm^3[/tex]
Correct Option A
The volume is about 4.24 cm^3.
What is 8^ sqrt 6 in exponential form?
Answer:
option 2
Step-by-step explanation:
[tex]\sqrt[n]{x} = x^{\frac{1}{n}}[/tex]
Need help with this!!!
Answer:
A
(hg)( x)=(4x-3)(x+2)=4x²+5x-6
!!!!!!!!!PLEASE HELP!!!!!!!!
Answer:
d
Step-by-step explanation:
The mass, m grams, of a ball is 415g, correct to the nearest 5 grams. Complete the statement about the value of m
this is g mail ok dont do enything messed up ok :)
A dog is leashed to a point in the center of a large yard, so the area the dog is able to
explore is circular. The leash is 25 feet long. What is the area of the region the dog is able to
explore. Use 3.14 for pi. Round to the nearest tenth if necessary.
Answer:
78.5
Step-by-step explanation:
The radius of the circle is 25 so youu multiply that by 3.14
25*3.14=78.5
Please help me this is due very soon!(Q13)
Answer:
Step-by-step explanation:
9) (25-x^2 )(a+2) = (5-x)(5+x)(a+2)
11) 9(v-3)+u^2(3-v)
9(v-3)+u^2( -v+3)
9(v-3)-u^2( v-3)
(9-u^2)(v-3)
(3-u)(3+u)(v-3)
Gianna draws a rectangle on a piece of grid paper. She wants to know the side length of each grid square. Which equation can Gianna use to find the side length, s , of one square.
Answer: the answer is 213.4
Stepby-step explanation:
First you multiply 10.8 and 19.8 then your done
Answer:
10.8 ÷ 6
1.8
Step-by-step explanation:
A traveling fair charges a $5.25 admission fee plus $0.75 for tickets to ride a roller coaster. candace has a budget of $15.50 to spend on her admission fee and roller coaster rides. how many tickets can candace buy?
A) 19 tickets
B) 15 tickets
C) 14 tickets
D) 13 tickets
Answer:
13
Step-by-step explanation:
A quadratic polynomial whose zeroes are -6 and -7 is
Answer:
x² + 13x + 42 = 0
Step-by-step explanation:
(x + 6)(x + 7) = x² + 7x + 6x + 42 = x² + 13x + 42
how to solve 9r^6/5r^3g^2
Answer:
9r^6 - 3g^2 / 5
Step-by-step explanation:
I think this would be the answer. Sorry if I am incorrect :')
If X = 18 units and h = 14 units, then what is the area of the triangle shown above?
Answer:
126
Step-by-step explanation:
area of a triangle = base ×height/2
so 18×14/2= 126cm2
hope this helps you understand:)
The increases (in cents) in cigarette taxes for 6 states in a 11-month period are 70,12,42,45,50,51,60,69,8,40,18
Answer:
The range is 62
Step-by-step explanation:
Given
[tex]x:70,12,42,45,50,51,60,69,8,40,18[/tex]
Required
The range
This is calculated as:
[tex]Range = Highest - Least[/tex]
From the given data
[tex]Highest = 70[/tex]
[tex]Least=8[/tex]
So:
[tex]Range = Highest - Least[/tex]
[tex]Range = 70-8[/tex]
[tex]Range = 62[/tex]
Triangle A is reflected in the x axis to give triangle B, which is then reflected in the line y=x to give Triangle C. Draw Triangle C.
Step-by-step explanation:
always draw triangle b first. for triangle b it is reflected across the x-axis which means all y valies become negative. then for triangle c, you swap the x and y values around.
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!
Answer:
[tex]so \: area = \pi \times {r}^{2} \\ = \pi \times {3}^{2} \\ = 9\pi \: {units}^{2} [/tex]