The pair of triangles that is congruent by Side-Side-Side rule of congruency is option 4 .
Required:
The option with a pair of triangles that congruent by Side-Side-Side SSS rule of congruency.
Solution;
The given information in option [1] are;
A pair of congruent alternate interior angles, and a pair of angles in option [1] are congruent by Angle-Side-Angle rule of congruency.Option [2]
The information given in option [2] are two angles and an adjacent side, therefore;The length of the triangles in option [2] are congruent by Angle-Angle-Side rule of congruencyOption [3]
From the given parameters, the rule of congruency for option [3] is Side-Angle-Side congruencyOption [4]
The triangles have a common side that is shared.3 tic marks and 2 tic mark indicating that the corresponding sides are congruent are placed on the other two sides.Therefore, b of one triangle are congruent to the corresponding three sides of the other triangle, indicating that triangles are congruent by Side-Side-Side rule of congruency.
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Please help!
Answer:x=4
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
Since it's a equilateral triangle, all sides are equal
So you can do the equation 3x - 1 = 11
You then add 1 on both sides, leaving the equation as 3x = 12
You divide both sides by 3, which leaves you with x = 4
9-3/1/3+1
Please solve
Answer:
20/3 or 6 2/3
Step-by-step explanation:
Hope this helps :)
Answer:
9
Step-by-step explanation:
If y varies directly as x and x=2 when y=−4, find y when x=−6.
Equation: ____________
Solution: y = ___________
Answer:
Equation: x × -2 = y
Solution: y = 12
Step-by-step explanation:
if (x = 2) is (y = -4) then (x = 1) is (y = -2) so if (x = -6) is (y = 12) if we follow the equation [x × -2 = y] which was found using the first set of variables and dividing each by 2.
DOES ANYONE KNOW THIS?!! I need an answer fast
A total of $10,000 is invested at an annual interest rate of 3%. Find the balance after 5
years if the interest is compounded a) quarterly and b) continuously.
Answer:
Step-by-step explanation:
We will need 2 different equations for this problem. For compounding a certain number of times a year, the formula is
[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex] so let's do that first. Filling in we get
[tex]A(t)=10000(1+\frac{.03}{4})^{(4)(5)[/tex] and simplifying a bit gives us
[tex]A(t)=10000(1+.0075)^{20}[/tex] and a bit more,
[tex]A(t)=10000(1.0075)^{20}[/tex] and then
A(t) = 10000(1.161184142) so
A(t) = 11611.84
Then for the compounding continuously, the formula is
[tex]A(t)=Pe^{rt[/tex]
[tex]A(t)=10000e^{(.03)(5)}[/tex] and simplify a bit to\
[tex]A(t)=10000e^{.15}[/tex] Now raise e to the power of .15 on your calculator to get
A(t) = 10000(1.161834243) so
A(t) = 11618.34
Not too much of a difference between the 2 values at the end.
Help please!!!! 8. 9. And 10.
Answer:
9 is 3rd -- 8 is last -- 10 is first --
Step-by-step explanation:
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what is the lenght of AB
Answer:
Uh I need more information to answer that.
Step-by-step explanation:
u only posted this: what is the lenght of AB. That isn't even how u spell length,
AB could be anything.
Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit. Which measurement is in ounces, and which is in grams? 6__________170______
Given:
Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit.
6__________ = 170______
To find:
The correct units from grams and ounces for these blanks.
Solution:
We know that, 1 ounce is greater than 1 gram.
1 ounce = 28.3495 grams
Multiply both sides by 6.
6 ounces = 170.097 grams
Approximate the values to the nearest whole number.
6 ounces = 170 grams
Therefore, 6 ounces = 170 grams.
Harper plans to purchase her school pictures. The prints cost $108 plus any add-ons she wants to purchase. If she saves $18 per week, which solution represents how many weeks, x, it will take Harper before she can purchase her school pictures?
Answer:
It will take 6 weeks
Step-by-step explanation:
Weeks = x
$18x = $108
X = $108/$18
X = 6
So 6 weeks
A solution contains 11 pints of antifreeze and seven pints of water . How many pints Of water must be added to 77 pints Of antifreeze to get a solution with the same concentration.
Please help me with question I don’t get it.
Answer:
49 pints of water
Step-by-step explanation:
that's the answer to the question
Answer: 49 pints
Step-by-step explanation: if they had 11pints of the anti freeze. And they multiplied it by 7 to get to 77! Therefore you take the multiplier that they used which was 7 and us it to the 7 pints. So then you will be multiplying 7x7 which would be 49.
Identify the graph of the inequality 2(2x - 1) + 7 < 13 or -2x + 5 5–10.
-10
-5
0
5
10
+
5
O!
0
-10
5
10
-10
-5
0
5
10
DONE
Answer:
20
Step-by-step explanation:
good luck
the diagram below shows the tile border shown in gray that surrounds a kiddie pool how many square feet does the tile border cover
Answer:
72 square feet.
Step-by-step explanation:
You could do this by figuring out directly how many tiles are needed to make the border B...
It is easier to find the area of the large area and subtract the white pool
Large rectangle = 18 * 9 = 162
Small rectangle = 15 * 6 = 90 Subtract
Area of border = 72
Determine which of the following is the solution to the equation below.
x cubed = 12
A passenger train has 812 people seated. Each train seats 70 people. So there are 11 train cars filled. How many people are in car not full
PLESSS SOMEONE KNOW THIS
Answer:
D.
Step-by-step explanation:
Order of operation states that in order for the addition to be done first, it must be in a set of parenthesis. Then, 4 multiplied by the sum would mean the addition has to be done first. so, yeah.
Don't know if that helps. I hope it does. Have a great day
I'm confused, how would I do this?
Write a function in the form y = mx + b for the line that passes
through the points (2, 4) and (6, 16).
Plzzz help. No wrong answers plss. I'm giving everything. Brainlist, thanks, and more.
What is the relationship between the area of a triangle and the area of a rectangle?
let area of triangle be x
let area of rectangle be y
Then,
2x = y
Find the slope of the
given graph.
Answer:
X=-4
Step-by-step explanation:
No y value so just count ur x value
A chocolate maker melts three blocks of chocolate weighing 5.4 ounces, 6.1 ounces, and 5.7 ounces. If
each truffle takes 0.4 ounces of chocolate, how many truffles can he make?
O A 41
OB. 42
OC. 43
O D. 44
Answer:
43 truffles
Step-by-step explanation:
First add all of the weights together
5.4+6.1+5.7=17.2
Divide the total chocolate by the weight of a truffle
17.2/0.4=43
Answer:
43
Step-by-step explanation:
Ray earns $15 an hour for up to 40 hours a week. If he works more than 40 hours a week, he is paid time and a half. That means Ray is paid 150% of his hourly wage for every hour he works over his normal 40 hour work week. How much would Ray's paycheck be if he works 46 hours in one week?
Answer:
$735
Step-by-step explanation:
40 hours x $15 per hour = $600
6 hours x $22.50 = $135
Add both dollar amounts together
A function has a constant doubling time. What type of function does this represent?
A. Decreasing linear
B. Exponential decay
C. Exponentia growth
D. Increasing linear
Answer:
C. Exponential growth
Step-by-step explanation:
Donald spent half as much as Patricia did on presents this year, and Carl spent 3 times more than Donald. If the total spent between the three of them was $72, how much did they each spend on presents this year?
Answer:
Patricia spent $24 on presents, while Donald spent $12 and Carl spent $36.
Step-by-step explanation:
The problem is to solve how much money each person spent on presents in the year, through a series of equivalences. In order to determine how much money each one spent, the following equation must be proposed:
Patricia = X
Donald = 1 / 2X
Carl = 3/2 X
X + 1 / 2X + 3 / 2X = 72
1X + 0.5 X + 1.5 X = 72
3X = 72
X = 72/3
X = 24
Thus, Patricia spent $ 24 on presents, while Donald spent $ 12 (2/24) and Carl spent $ 36 (1.5 x 24).
1. The National Football League (NFL) has been finding new ways to reduce the risk of its players
getting concussions. For example, helmets have changed to keep players more safe. In the 2017-
2018 season, 190 athletes reported concussions out of 1700 total players. In the 2018-2018
season, 135 concussions were reported out of total 1650 players.
a. Make a two way table displaying this information.
TOTAL
b. Calculate the risk of a football player reporting a concussion in 2017-2018 and 2018-2019.
C. Find the absolute risk reduction.
Answer:
Reduced/depressed
courageously/daringly
Boost/inflate
Explanation:
The following statement displays the recommendation of National Football League's(NFL) rule to wear new and lighter helmets by the players to diminish the chances of head injury during collisions between players. However, it has led the players to play more brazenly and fearlessly that eventually may cause the expansion of the number of collisions suffered by NFL players due to the valiant behavior of the players. This equates the ratio and leading to no improvement in the reduction of injuries among them even after this rule.
Write the equation of the line that passes through the given points
(0,2)) and (-9, -3)
Step-by-step explanation:
Y= m x+ C
m (slope ) = 2 - (_3) / 0 _( - 9 )
= 5 / 9
( O, 2 ) Satisfying equation
2= 5/9 ( 0) + C
C= 2
So eq. is
y= 5/ 9 X + 2
Help me pleaseeee (10 points)
Answer:
1.2 m off the ground
Joe would have earned $504 for working a 42 hour week but he was sick and missed 4 hours. How much did he earn?
Answer: $456
Step-by-step explanation:
$504/42 hr = 12 per hour
4 hours = $48
$504 - $48 =
= $456
Answer:
He earned $456
Step-by-step explanation:
504/42=12
42-4=38
38*12=456
Good Luck!!!!
What is 0.76 as a fraction ?
76/100
76/10
76/1000
7/6
The percentage 0.76 when convert to fraction is: 76/100.
Conversion of percentage into quotient0.76 is a percentage which represent 76% when multiply by 100 calculated as:
0.76×100
=76%
Now 0.76 as a fraction or quotient will be 76/100 in which the numerator is 76 and the denominator is 100 and when you divide 76 by 100 we would arrive at 0.76.
Inconclusion 0.76 as a fraction is: 76/100.
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4(5a + 3) = 20a + 12 represent which property of multiplication?
Answer:
Distributive property of multiplication
Step-by-step explanation:
The distributive property of multiplication is basically distributing the terms outside the bracket to all the terms inside the bracket. In this case, 4 is multiplied to 5a as well as 3.
What is the x-coordinate of point D? Write the coordinate as a decimal.
Answer:
2.5
Step-by-step explanation: