Answers
I'll do part (a) to get you started.
The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.
We also see that b = 123 as well since a = b (they are vertical angles).
Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.
c+123 = 180
c = 180-123
c = 57
-------------------------
To summarize, we have these three angles
a = 123
b = 123
c = 57
Answer:
a) a=57° b=123° c=123°
b) f=98° d=98° e=98°
c) g=75° h=75°
Step-by-step explanation:
a) a°+123°=180° (angle on a straight line=180°)
a°=180°-123°
a°=57°
b°=123° (alternative angles)
c=123° (vertically opposite angles are equal)
b)f+82°=180° (angle on a straight line=180°)
f=180°-82°
f=98°
f=d (corresponding angles are equal)
d=e (vertically opposite angles are equal)
c) h=75° (corresponding angles are equal)
g=h (vertically opposite angles are equal)
Related Questions
(b) calculate the area of a triangle 7.8 cm 12.8 cm
Answers
Answer:
49.92 cm²
Step-by-step explanation:
Area of a triangle = base × height ÷ 2
7.8 × 12.8 ÷ 2 = 49.92
24/4 ÷ 10
please answer quickly
Answers
Answer:
0.48
Step-by-step explanation:
25/4 ÷ 10=0.48
Brainiest plz and hope it helped
What is the ratio of all the what is the ratio of all the
marbles to yellow marbles? State the letter of the correct answer.
A. 2:15
B. 1:15
C. 15:1
D. 15:2
Answers
i think choose A or B
Determine the measure of the interior angle at vertex E.
Answers
Answer:
30
Step-by-step explanation:
5 sides Pentagon=540
3x+4x+4x+4x+3x=540
18x=540
x=540/18
x=30
Someone plz help giving brainliest
Answers
Answer:
Its C.
Step-by-step explanation:
I had this and its C. trust me
help please asap its timed
Answers
Answer:
In a representation of 100, the percent change is just a number change, meaning 65 - 52, or 13 is that change. This means that the percent change from 65 to 52 is 13%
Step-by-step explanation:
6. A cube has a volume of 5 feet?. What is the volume of the cube in in?
Answers
The answer is 60 inches.
Simplify 14^15/ 14^5
A 1^3
B 1^10
C 14^3
D 14^10
Answers
Hope this help
Please help me out with part 3 i need this asap
Answers
Answer:
1) g(x) = 7
2) (-∞,∞)
3) 7
Step-by-step explanation:
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
x=-3
Step-by-step explanation:
-4(-2x+5)-5x+5=-24
8x-20-5x+5=-24
3x-15=-24
3x=-9
x=-3
I hope that this helped you!
Simplify each expression
Answers
Answer:
[tex]3. \: \: ( \frac{7}{8} ) ^{2} = \frac{ {7}^{2} }{ {8}^{2} } = \frac{49}{64} = 0.765 [/tex][tex]5. \: \: 8 + 5(7) = 8 + 35 = 43[/tex]
I hope I helped you^_^
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
URGENT!!!!!!!
For the function h defined by h(x)=2x^2 − 2, find h(0).
Answers
Answer:
h(0) = - 2
Step-by-step explanation:
Substitute x = 0 into h(x) and evaluate , that is
h(0) = 2(0)² - 2 = 2(0) - 2 = 0 - 2 = - 2
Tell the slope of a line that contains the points (5, − 3) and (7, 3).
Answers
Answer:
3
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 3 - -3)/( 7-5)
= (3+3)/(7-5)
= 6/2
= 3
Answer:
[tex]m = 3[/tex]
Step-by-step explanation:
[tex]slope \: = m = \frac{y1 - y2}{x1 - x2} \\ = \frac{ - 3 - 3}{5 - 7} \\ = \frac{ - 6}{ - 2} \\ = 3[/tex]
who is square
root 3
Answers
Answer:
Square root of 3 = 1.7321
Answer:
1.73
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Divide by rationalizing the denominator.
3+5i/10+3i
A. 25+47i/109
B. 60-18i/109
C. 100-30i/109
D. 45+41i/109
Answers
Answer:
D
Step-by-step explanation:
Multiply the numerator and denominator by the conjugate of the denominator.
Note that i² = - 1
The conjugate of 10 + 3i is 10 - 3i , then
[tex]\frac{(3+5i)(10-3i)}{(10+3i)(10-3i)}[/tex] ← Expand numerator/denominator using FOIL
= [tex]\frac{30-9i+50i-15i^2}{100-30i+30i-9i^2}[/tex] ← simplify
= [tex]\frac{30+41i+15}{100+9}[/tex]
= [tex]\frac{45+41i}{109}[/tex] → D
please help me out thank you so much whoever does !!
Answers
A sum of Rs 105 is divided into two parts.if two times the greater part is 15 less than three times the smaller part, find the parts of the sum.
Answers
Answer:
Step-by-step explanation:
Let the greater part = x
Smaller part = 105 - x
2*(greater part) = (3*smaller part) - 15
2*x = 3*(105 -x) - 15
Use distributive property
2x = 3*105 - 3*x - 15
2x = 315 - 3x - 15
2x = 300 - 3x
Add 3x to both sides
2x +3x = 300
5x = 300
Divide both sides by 5
x = 300/5
x =60
Smaller part = 105 - 60 = 45
Greater part = Rs. 60
Smaller part = Rs. 45
halp please and thank you??????????
Answers
Answer:
[tex]thank \: you[/tex]
6n 1/2 y 1/2
its solved, here ypu go
The difference between a number and 7 can be written as
Answers
Answer:
7-n
Step-by-step explanation:
The difference means to subtract the unknown number from 7.
Find the least common multiple of 9 and 15
Answers
Answer:
45
Step-by-step explanation:
9:9,18,27,36,45
15:15,30,45
Answer:
45
Step-by-step explanation:
The least common multiple is the smallest number found between the two numbers, in this case 9 and 15, while skip counting from each number. Or the like the multiplication table.
Multiples for 9:
9, 18, 27, 36, 45, 54, 63...
Multiples for 15:
15, 30, 45, 60, 85...
45 is the first and common number that appears in both multiples of 9 and multiples of 15. Therefore, it will be the least common multiple of 9 and 15.
A bag contains 7 red marbles, 8 blue marbles, and 9 green marbles. What is the
probability of choosing a blue marble when one marble is drawn?
Answers
Answer:
The probability of choosing a blue marble is 1/3.
Step-by-step explanation:
Add up all of the marbles.
7+8+9=24.
Next, you get the fraction of the chosen marble type over all marbles. In this case, it's blue, so it's 8/24
Finally, you must simplify the fraction.
1/3 is the simplest form of 8/24.
I was thrown into this without any help
Answers
Collinear points are three or more points that lie on the same line.
Transformation is when a shape has been copied, which means that the shape has the same size, area, angles and side lengths. What does it mean when the shape has rotated
Answers
Answer:
I think it is called a rotation or reflection.
Step-by-step explanation:
Find the area of the circle.
Use 3.14 for it.
d = 8 cm
A = [?] cm2
A= 7Tr2
Answers
Answer:
50.24 cm^2.
Step-by-step explanation:
If d = 8 then r = 4 cm.
Area = 3.14 * r^2
= 3.14 * 4^2
= 50.24 cm^2.
which of the following is a counterexample of this statement?
If an angle is acute, then it measures 80°.
A. a 100° angle
B. a 90° angle
C. a 80° angle
D. a 70° angle
Answers
Answer:
a 70° angle
Step-by-step explanation:
an acute angle measure between 0° and 90° so a counterexample for the statement is the 70° angle which is also an acute angle that doesn't measure 80°
brainliest is appreciated
By which method can the right triangles below be proven congruent?
Select the best answer from the choices provided.
А.LA
B.LL
C.HL
D.The triangles cannot be proven congruent.
Answers
Answer: hl
Step-by-step explanation:
I think but I’m prob wrong
Find the domain of f(x)= x^2+4
Answers
Answer:
(Negative Infinity to Positive Infinity)
Step-by-step explanation:
A domain is all x values that can go into a function. This is a quadratic. A quadratic can accept any real number so the domain is
[tex]all \: real \: numbers[/tex]
or
(Negative Infinity to Positive Infinity)
If it costs $5.35 per day for a 5 day work week to ride the bus, and a weekly pass is $25, how much could a person save by buying the pass?
Answers
Answer:
$1.75
Step-by-step explanation:
basically we are comparing
5 daily passes vs. a weekly pass.
5 daily passes = 5×$5.35 = $26.75
a weekly pass = $25.00
so, the difference is 26.75 - 25 = $1.75
The first thing you need to do in this problem is calculate how much it would cost to ride the bus 5 days a week WITHOUT the pass. Since you know there are 5 days in a week, and each day costs 5.35 dollars, multiply those two numbers together.
5*5.35= $26.75
Now, we are trying to find out how much more that is than the bus pass, since we are trying to find how much you can save by buying the bus pass. To do that, subtract 25 dollars (the cost of the bus pass) from the cost without the bus pass (26.75 dollars.)
26.75-25=1.75
Therefore, your answer is the first one: $1.75
I hope this helps! Comment if you have any questions :)
find three consecutive even integers for which -4 times the sum of the first and third is 192
Answers
Answer:
-26-24-22Step-by-step explanation:
Let x be the smallest number (first)
Let (x + 2) be the second number (second)
Let (x + 4) be the greatest number (third)
Set equation according to the given information
-4 [x + (x + 4)] = 192
Simplify parentheses
-4 [x + x + 4] = 192
-4 [2x + 4] = 192
Expand bracket and apply the distributive property
(-4) · 2x + (-4) · 4 = 192
-8x - 16 = 192
Add 16 on both sides
-8x - 16 + 16 = 192 + 16
-8x = 208
Divide -8 on both sides
-8x / -8 = 208 / (-8)
[tex]\boxed{x=-26}[/tex]
Find the value of the second term
x + 2 = (-26) + 2 = [tex]\boxed{-24}[/tex]
Find the value of the third term
x + 4 = (-26) + 4 = [tex]\boxed{-22}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
What is polynomial?
Answers
Answer:
an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
Answer:
Consisting of several terms
Step-by-step explanation:
An expression of more than two algebric terms