Move words to the blanks and equations to the boxes to prove that vertical angles <1 and <3 are congruent
Answers
Answer:
Because linear pairs are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.
Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.
Step-by-step explanation:
A linear pair is a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary (that is they add up to 180°).
Therefore m∠1 and m∠2 are linear pairs, also m∠2 and m∠3 are linear pairs.
Hence:
m∠1 + m∠2 = 180°
m∠2 + m∠3 = 180°
Using substitution property:
m∠1 + m∠2 = m∠2 + m∠3
subtracting m∠2 from both sides:
m∠1 + m∠2 - m∠2 = m∠2 + m∠3 - m∠2
m∠1 = m∠3
∠1 and ∠2 are congruent
Because linear pairs are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.
Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.
Related Questions
144 ÷ a = 16
Find the value of a.
Answers
16x9 equals 144 so 144/9 would be 16
Answer:
9
Step-by-step explanation:
Move the variable to the other side of the equation
144 ÷ 16 = a
9 = a
Check:
144 ÷ a = 16 (Correct)
I NEED HELP ASAP
Darwin says that two expressions 3x + 4(2x + 5) and 6x + 5x + 5 are equivalent. Simplify the expressions to determine whether or not Darwin is correct.
Answers
Answer:
Darwin is not correct.
Step-by-step explanation:
3x+4(2x+5) = 6x+5x+5
3x+8x+20 = 11x + 5
11x+20 ≠ 11x+5
Which of the following does NOT represent a function?
Answers
Answer:
the last one
Answer:
i think its the first one
Step-by-step explanation:
20 pts for free ig I'd just need an awnser
Answers
Answer:
No
Step-by-step explanation:
4 : 7 = 2 : 3.5, not 2 : 3
Answer:
No
Step-by-step explanation:
4/2=2
2 x 2 = 4
3 x 2 = 6
4:7 and 4:6 is not equal.
Could anybody help me with this ♀️
Answers
Answer:
For A), put a dot at -2, 7, -5, and 1 on the number line.
For B=), put a dot at 9, -4, 3, and -8.
Step-by-step explanation:
What is the sum of
1
8
+
5
16
+
3
8
?
A.
9
32
B.
13
32
C.
9
16
D.
13
16
Answers
Answer:
18 + 516 + 38 = 572
Answer:
0.8125 =13/16
Step-by-step explanation:
1/8 +5/16 +3/8= 0.8125
0.8125 as a fraction is 13/16
Lily and violet live 30 miles apart on a trail. They both start running towards each other with a plan to meet. Lily is moving at 4 miles per hour while violet runs 6 miles per hour. How long does it take for them to meet?
Answers
Answer:
3 hours
Step-by-step explanation:
Arthur has been challenged to donate $50,000. He decides to donate exactly 50% of the money every day until less than $1 remains. Write a function that would represent this situation.
Answers
Answer:(-1/2^x)(50000)
Step-by-step explanation:
For every 1000 hits a channel gets it makes £2.50 from ad revenue.
How many hits will the channel need to make £1
Answers
Help on No. 5 plz.........
Answers
13.5 x 12.1 what does it equal
Answers
Answer:
163.35
Step-by-step explanation:
13.5 x 12.1 = 163.35
If there is 60 runners and they each get 8 oz of water how many pounds of water do they get total
Answers
Teddy makes 32 fluid ounces of hot cocoa. He pours equal amounts of cocoa into 5 cups. The amount of hot cocoa in each cup will fall between which two amounts?
A. 3 and 4 fluid ounces
B. 4 and 5 fluid ounces
C. 5 and 6 fluid ounces
D. 6 and 7 fluid ounces
Answers
32/5=6.4
177 is what percent of 300? Round your answer to the nearest tenths.
Answers
Answer: 59%
Step-by-step explanation:
Hope this helps have a great day. :)
Answer:
59%
Step-by-step explanation:
I would solve this through proportions
177 x
300 100
Cross multiply
177 x 100 = 17700
And then divide
17700/300 = 59
The answer is 59%
Pls help I’ll brainlest for the right answer
Answers
Answer:
5.9+z=−9
Step 1: Simplify both sides of the equation.
z+5.9=−9
Step 2: Subtract 5.9 from both sides.
z+5.9−5.9=−9−5.9
z=−14.9
Answer:
z=−14.9
Step-by-step explanation:
I hope this can help!!!
Ricardo works as a real estate agent. he earns 6% commission for every how he sells. last month, Ricardo sold two homes. One sold for $135,000 and the other sold for $160,000. how much did Ricardo earn by selling these two homes?
Answers
Add the two houses together:
135000 + 160000 = 295,000
Multiply the total by the percentage:
295,000 x 0.06 = $17,700
He earned $17,700
Cameron wanted to get both lines with one zap. They solved an equation to find the intersection point and figured out that x=10. How could Cameron find the y-value of the point of intersection?
Answers
1 and 1/2 divided by 4 and 2/8
Answers
Answer:
1.375
Step-by-step explanation:
Answer: 11/2
Step-by-step explanation:
The measure of the distance an object travels in a certain length of time is the objects
Answers
Answer:
speed
Step-by-step explanation:
hope this helps
The scale on a map is
1 inch
250 miles
On the map, the distance from Nashville, TN to Los Angeles, CA is 8.02 inches.
What is the actual distance from Nashville to Los Angeles?
Answers
Answer:
2005 miles from Nashville to Los Angeles
Step-by-step explanation:
1 250 x 8 = 2000
0.02 is equal to 2%
2% of 250 is
well 1% of 250 is 2.50 multiplied by two that's 5
Which of the following is a linear function?
y = x^3 + 1
five over six x = y − 4
y = 8x^2
y = one over five x
Answers
Answer:
Which of the following is a linear function?
y = x^3 + 1(5/6)x = y − 4y = 8x^2y =(1/5)x2. (5/6)x = y − 4 and 4. y =(1/5)x are the right answers.
Step-by-step explanation:
Linear function is in the form y=ax+b.
An airplane is heading due south with an airspeed of 196 miles per hour (mph). A wind from a direction of
N 58°E is blowing at 14 mph. Determine the bearing of the airplane by computing the magnitude and
direction of the resultant vector. Round the angle to the nearest degree.
(A)S 88°W
(B) S 87W
(C)S 2º W
(D)S 3W
Answers
Answer:
d
Step-by-step explanation:
Solve the equation 18t – 8 = 1 for t.
A. 1/6
B. 1/4
C. 1/2
D. 2
Answers
Answer:T=1/2
Step-by-step explanation: brainlyist
If 7(p + 3) = – 28, then p = ? F. 4 G. 1 H. – 1 J. – 4 K. – 7
Answers
The answer to this problem will be -7
why wasn't i doing this sooner :)
Answers
Step-by-step explanation:
Morning is 4 hr 15 min
afternoon is 4 hour 15 min
together is 8 hour 30 min
8.5*14 = 119 dollars
According to the unitary method, the wage of the weekly time for the employee is written as $119.00
To calculate the hours worked on Monday, we need to consider both the morning and afternoon shifts. For the morning shift, the employee clocked in at 08:00 AM and clocked out at 12:15 PM. The total time worked in the morning is 4 hours and 15 minutes (12:15 - 08:00).
Similarly, for the afternoon shift, the employee clocked in at 01:00 PM and clocked out at 05:15 PM. The total time worked in the afternoon is 4 hours and 15 minutes (05:15 - 01:00).
Adding both morning and afternoon hours, the total hours worked on Monday is
(4 hours 15 minutes + 4 hours 15 minutes) = 8 hours and 30 minutes
To perform the calculation, we need to convert the minutes to decimal hours. There are 60 minutes in an hour, so we divide the minutes by 60 to get the decimal representation. In this case, 30 minutes is equal to 0.5 hours.
Now that we have the total hours worked on Monday, we can calculate the pay. We multiply the total hours worked by the hourly wage. In this case, the hourly wage is $14/hr.
So, the pay for Monday would be:
Pay = Total hours worked x Hourly wage
Pay = 8.5 hours x $14/hr = $119.00
To know more about wage here
https://brainly.com/question/32552927
#SPJ2
A batter hits a baseball 3 ft above the ground toward the center field fence, which is 10 ft high and 400 ft from home plate. The ball leaves the bat with speed at an angle above the horizontal. Is it a home run
Answers
Complete Question
A batter hits a baseball 3 ft above the ground toward the center field fence, which is 10 ft high and 400 ft from home plate. The ball leaves the bat with speed at 115 an angle 50 above the horizontal. Is it a home run?
Answer:
[tex]t=5.40sec[/tex]
Step-by-step explanation:
From the question we are told that
Height on hit [tex]H_h=3ft[/tex]
Height of center field fence [tex]H_f=10ft[/tex]
Distance from home plate [tex]D=400ft[/tex]
Initial speed [tex]v_0=115[/tex]
Angle [tex]\theta=50[/tex]
Generally the Parametric equation of the trajectory of a projectile are mathematically represented as
[tex]x=(v_0cos\theta )t[/tex]
[tex]y=(v_0sin\theta )t-\frac{1}{2} gt^2[/tex]
Therefore
[tex]x=(v_0cos\theta )t[/tex]
[tex]x=(115cos50\textdegree )t[/tex]
[tex]x=74t[/tex]
[tex]y=(v_0sin\theta )t-\frac{1}{2} gt^2[/tex]
Initial co_ordinates (0,3)
[tex]y=3+(115sin50\textdegree )t-\frac{1}{2} 32t^2[/tex]
[tex]y=3+88t-16t^2[/tex]
Generally its a home run when Y>10 and x=400
Time when x=400 is
[tex]t=\frac{400}{74}[/tex]
[tex]t=5.40sec[/tex]
PLEASE ANSWER ILL GIVE 50 POINTS AND BRAINLIEST!!!!!
Answers
Answer:
19/14x + 97/56
What is the multiplicative rate of change of the
function?
Answers
Answer:
the multiplicative rate of change for the exponential change is 3
Step-by-step explanation:
undefined
defined; 7 x3
defined; 3 x 7
defined; 5 x 5
The seller of a watch marked up the price by 30%, and the new price is $468.00. What was the watch’s original price before the markup?
Answers
Answer: I THINK SO 608.4
HOPE THIS HELPS
Find the surface area of the pyramid. The side lengths of the base are equal.
1: 20 sq. meters
2: 36 sq. meters
3: 20 meters
4: 36 meters
Answers
Answer:
God Loves you
Step-by-step explanation:
Because he died for you. "John 3,16"