Answers
transverse s at angle 135°
180° - 135° = 45°
Angle 2 is congruent to 45° because they're alternate exterior angles.
transverse t at angle 120°
180° - 120° = 60°
Angle 3 is congruent to 60° because they're alternate exterior angles.
One rule for exterior angles in triangles is that the exterior angle is equal to the sum of the two angles adjacent to the opposite angle of the exterior angle.
135° = angle 1 + 60°
angle 1 = 75°
120° = angle 1 + 45°
angle 1 = 75°
Therefore angle 1 is 75°,angle 2 is 45° and angle 3 is 60°
Answer:
m∠1 = 75° m∠2 =45° m∠3 = 60°
Step-by-step explanation:
m∠1 = 180 - { (180 - 135) + (180 - 120) }
m∠1 = 180 - { 45 + 60 }
m∠1 = 75°
The angle between 1 and 3, lets call it x, is vertically opposite to ∠2, so we must find it first to be able to get ∠2
Since a ║b
Therefore ∠x and ∠135 are co-interior angles
Therefore ∠x = 180-135
m∠x = 45°
∠2 = ∠x (Vertically opposite angles)
∠2 = 45°
Between ∠2 and ∠3 there is an angle, let's call it z.
∠z = ∠1 (Vertically opposite angles)
∠z = 75°
Since the sum of ∠2, ∠z and ∠3 = 180° (Straight angle)
Therefore m∠3 = 180 - (∠2 + ∠z)
m∠3 = 180 - (45 + 75)
m∠3 = 60°
Or in a different way
∠2 + ∠z + ∠3 = 180
45 + 75 + ∠3 = 180
120 + ∠3 = 180
∠3 = 180 - 120
∠3 = 60°
Hope it helps
Related Questions
May I please receive help?
Answers
Answer:
28°
Step-by-step explanation:
1. We can see that ∠GFH has two smaller angles within it: ∠1 and ∠2. Given that m∠GFH is 53° (the whole thing), and m∠2 is 25° (a part of it), we just have to subtract 25 from 53 to get the measure of ∠1.
[tex]53 - 25[/tex] [tex]28[/tex]Therefore, m∠1 = 28°.
PLEASE HELP WILL MARK BRAINLIEST!
Answers
Answer:
P of rectangle = 2(L + W)
21 units = 2(n units + W)
21 units = 2nunits + 2W
21 = 2n + 2W
2W = 21 - 2n
W = 21 - 2n units.
2
on simplifying
10.5 - n units
The width of the rectangle is units (10.5 - n) units.
how to do precentiges
Answers
29 yards=how many ft
Answers
Answer:
87 ft
Step-by-step explanation:
hope it's correct
please give me a brainlist
thank you
Carmel draws a plan of her school using a scale of 1 cm to 5 m.
On the plan, the playground is 6 cm long.
What is the real length of the playground?
Answers
Answer:
30m
Step-by-step explanation:
If 1=5
Then
6=?
6÷1×5=30m
Inverse operation for 6*8=48
Answers
(9)
2 in
5 in
Perimeter:
Area:
Answers
Step-by-step explanation:
The area = 2 × 5 = 10
The perimeter = 2(2 + 5) = 14
please give me a brainliest answer
determine the H.C.F of 12,48,60
Answers
Answer:
HCF(12, 48, 60) = 12
Step-by-step explanation:
HCF of 12, 48, 60 is 12 since 12 is largest number which exactly divides all the numbers
Highest common factor (HCF) of 12, 48, 60 is 12.
Hope this helped you- have a good day bro cya)
ANSWER PLEASE AND PLEASE SHOW WORKING
ONLY ANSWER IF UR ARE ANSWERING THE QUESTION PLEASE
Answers
Answer:
Step-1 : Multiply the coefficient of the first term by the constant 1 • 7 = 7
Step-2 : Find two factors of 7 whose sum equals the coefficient of the middle term, which is -8 .
-7 + -1 = -8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -1
x2 - 7x - 1x - 7
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-7)
Add up the last 2 terms, pulling out common factors :
1 • (x-7)
Step-5 : Add up the four terms of step 4 :
(x-1) • (x-7)
Which is the desired factorization
Step-by-step explanation:
x = 7 or 1
Deshaun is estimating the weight of his mountain bike. The actual weight of his mountain bike is 11.3 kg. Deshaun's estimate is 12 kg.
Find the absolute error and the percent error of Deshaun's estimate. If necessary, round your answers to the nearest tenth.
Answers
Answer: Actual weight of his mountain bike is
16.4kg
. Deshaun's estimate is
15kg
...
Step-by-step explanation:
1/3x7 ...............
Answers
Answer:
7
Step-by-step explanation:
- + =6
- +
+ - =14
+ - +
- + =5
= = =
9 10 4
Answers
Step-by-step explanation:
20-17+3=6
18+1-5=14
7-8+6=5
20-18+7=9
17+1-8=10
3-5+6=4
Find the perimeter of the following figure
plsplspls
Answers
Answer:
30+4x
Step-by-step explanation:
Well, break it up into pieces: two rectangles.
Jerry deposited 20,000 on an investment that will give 1,750 for every year that his money stays in the account. How much money will he have in his account by the end of the year 8? with solutions
Answers
Answer:
$34,000
Step-by-step explanation:
Jerry will get $1,750 for every year that his money stays in the account thus for 8 years he will get:
8*1,750 = $14,000
Together with the deposited money:
$20,000 + $14,000 = $34,000
By the end of year 8 there will be $34,000 of Jerry's account.
suppose 48 out of every 120 people like baseball. of the people who like baseball 3 out of 5 play base ball if you ask 500 people how many would play baseball
Answers
Answer:
120 people would play
Step-by-step explanation:
What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = 2x2 +15?
A. The graph of f(x) is horizontally compressed by a factor of 2 and
shifted 15 units to the left.
B. The graph of f(x) is vertically stretched by a factor of 2 and shifted
15 units up.
C. The graph of f(x) is vertically stretched by a factor of 2 and shifted
15 units to the left.
D. The graph of f(x) is horizontally stretched by a factor of 2 and
shifted 15 units up.
SUBMIT
Answers
Answer: A. The graph of f(x) is horizontally compressed by a factor of 2 and
shifted 15 units to the left.
Step-by-step explanation:
Hope this helps!
Can i get a step by step for this?
Answers
Answer:
x = 85°Step-by-step explanation:
Sum of interior angles of any triangle is 180°:
52° + 43° + x = 180°95° + x = 180°x = 180° - 95°x = 85°To make green paint, students mixed yellow paint with blue paint. The table below shows how many yellow and blue drops from a dropper several students used to make the same shade of green paint. Complete the table.
Answers
Help pleaseeeeeeeeeeee
Answers
Answer:
[tex]f(x) = 2x + 5 \\ y = 2x + 5 \\ x = 2y + 5 \\ 2y = x - 5 \\ y = \frac{1}{2} x - \frac{5}{2} \\ y = {f}^{ - 1} (x) = \frac{x - 5}{2} [/tex]
There has been a person on here posting the same link to many answers, can you please delete their account? Thanks.
Answers
Yeah... they should.
Mateo jogs for 3 3/4 miles on Saturday and 4 2/5 miles on Sunday. What is the total distance, in miles, that Mateo jogged in the past 2 days?
Answers
Answer:
Mateo jogged 8 3/20 miles in the past 2 days.
Step-by-step explanation:
Given:-
Distance on Saturday = 3 3/4
Distance on Sunday = 4 2/5
Total distance = 3 3/4 + 4 2/5
= 15/4 + 22/5
= LCM of deniminators (20)
= 75/20 + 88/20
= (75 + 88)/20
= 163/20
= 8 3/20
Answer:8+ (3/20)
Step-by-step explanation: We will assume that "today" is a Monday.
3+(3/4) + 4+(2/5)
7 + (3/4) + (2/5)
7 + (3/4)*(5/5) + (2/5)*(4/4)
7 + (15/20) + (8/20)
7 + (23/20)
8+ (3/20)
1) Jen spends $5.98 on ribbon. Ribbon costs $0.92 per meter. How many
meters of ribbon does Jen buy?
Answers
Answer:
6.5
Step-by-step explanation:
5.98÷0.92= 6.5m
Answer Here
Why is 0.0123 x 107
not in the correct Scientific
Notation format?
Answers
becauseStep-by-step explanation:
1.
(-102? + 7k+6X4)+(-14 – 464 – 14K)
-
What is the resulting expression?
O2k4-10K2-7k-14
O-1062-7k+244-14
0 -17k2+10k4-14k-14
O 6k4-14k2 +7k-14
Answers
Answer:
-7k
Step-by-step explanation:
(−102+7k+6×4)+(−14−464−14k)
Multiply 6 and 4 to get 24.
−102+7k+24−14−464−14k
Add −102 and 24 to get −78.
−78+7k−14−464−14k
Subtract 14 from −78 to get −92.
−92+7k−464−14k
Subtract 464 from −92 to get −556.
−556+7k−14k
Combine 7k and −14k to get −7k.
−556−7k
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)
Answers
Answer:
x = + 14.88 km
Step-by-step explanation:
Let's solve for x using the Pythagorean Theorem.
The length of the hypotenuse is 15.8 km; that of the shorter leg is 5.3 km.
Since a² + b² = c², we get:
(5.3 km)² + x² = (15.8 km)²
Solving for x², we obtain (15.8 km)² - (5.3 km)² = 249.64 km² - 28.09 km²
The last expression returns the value 221.55 km² for x²
Taking the square root of both sides, we get x = + 14.88 km
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = (15,8)² - (5,3)²
x² = 249,64 - 28,09
x² = 221,55
x = 14,88km✔
Which of these represents the conjugate of the impedance of a circuit written as 7 – i ohms?
A
–7 – i ohms
B
–7 + i ohms
C
–7i ohms
D
7 + i ohms
Answers
For the expression 7 - i ohms, the conjugate will be 7 + i ohms (the sign was changed from negative to positive)
The impedance of the circuit is written in form of a complex number.
The standard representation of a complex number is expressed as a + ib where:
a is the real part
ib is the imaginary part
The conjugate of the complex number a + ib will be a - ib. Note that the signs of the expression were changed from addition to subtraction.
Similarly for the expression 7 - i ohms, the conjugate will be 7 + iohms (the sign was chaged from negative to positive)
Learn more here: https://brainly.com/question/18392150
9. Aaron has a lemonade business. If he sells each glass of lemonade for $2.75, and he sold 11
glasses of lemonade today, how much money did Aaron make?
Help me please this is due answer the question please
Answers
Answer:
$27.75
Step-by-step explanation:
Multiply $2.25 by 11 to get the answer
Step-by-step explanation:
He sold 11 lemonades for $2.75 each, so you need to multiply the numbers to get your answer-
11 x 2.75 = 30.25
Which means he made $30.25
What is the iterative rule for the following sequence?
4, 4/5, 4/25, 4/125, ...
A.) an=4•(1/5)^n-1
B.) an=4•(1/5)^n
C.) an=1/5•4^n-1
D.) an=1/5•4^n
Answers
Answer:
A.) 4 * (1/5)^(n-1)
Step-by-step explanation:
a1 = 4 * (1/5)^(1-1) = 4* (1/5)^0 = 4*1 = 4
a2 = 4 * (1/5)^(2-1) = 4 * (1/5)^1 = 4 * 1/5 = 4/5
a3 = 4 * (1/5)^(3-1) = 4 * (1/5)^2 = 4 * 1/25 = 4/25
a4 = 4 * (1/5)^(4-1) = 4 * (1/5)^3 = 4 * 1/125 = 4/125
a5 = 4 * (1/5)^(5-1) = 4 * (1/5)^4 = 4 * 1/625 = 4/625
. . .
The required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.
Given sequence,
4, 4/5, 4/25, 4/125, ...
Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
The given sequence is 4, 4/5, 4/25, 4/125, ...
Common ratio among the proceeding terms,
r = 4/5/4
r = 1/5
The required general term can be described as [tex]a_n=4*(1/5)^{n-1}[/tex].
Thus, the required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.
Learn more about geometric progression here: https://brainly.com/question/4853032
#SPJ5
someone please help me
Answers
Please explain . . .
Answers
Answer:
9
Step-by-step explanation:
[tex]05 \times 2. \div 2[/tex]