The values of x, y and z are 24, 10 and 17 using the similar triangles properties and triangles sum properties.
What are the characteristics of a triangle?A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.
Calculation:Given that ΔHPS≅ΔCNF.
We can see that angle H in triangle HPS is obtuse whereas angle N in triangle CNF is obtuse so comparing this we get,
6x - 29 = 115
6x = 144
x = 24
Comparing angle C and angle P we get
4z - 32 = 36
4z = 68
z = 17
Now the remaining angle in trinagle CNF is angle F which is 3y - 1 as we know that sum of angles in a triangle is 180 and the angle C and N are 36 and 115 we can say that F is 29
Now to find y we equalise it to 29
3y - 1 = 29
3y = 30
y = 10.
The values of x, y and z are 24, 10 and 17 using the similar triangles properties and triangles sum properties.
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Brainliest for correct answer
Find the compound interest on an investment of $8,000 at 6% compounded semiannually for 3 months.
a) $9,552.80
b) $1,552.80
c) $1,500.00
d) $9,500.00
e) None of these
ian charges $15 per hour to landscape. if ian hired for more then six hours, he will reduce the cost by $1.50 per hour. write an expression to show the total cost of hiring ian for h hours if he landscapes for more then six hours?
Answer:
87
Step-by-step explanation:
87 because 15 times 6 equals 90 but take away the 1.50 from eah hou and you get 87
Which statement is true help
Answer:
The correct one is 6 is 3 times as many as two.
Step-by-step explanation:
8 students share 7 oranges. How many oranges does each student get?
Step-by-step explanation:
every student will get 7 slices ....I think si
Is t = 9 a solution to this equation? 63 = 7 t
Answer:
Yes, 9 is the answer.
Step-by-step explanation:
This is a one step equation so you only have to preform one operation to solve. You do the inverse operation of what the equation is doing. In this case you are multiplying, which means you will divide to solve.
63/7 = 9
A pizza restaurant advertises the following for one pizza two toppings $20 for toppings $26 using this information determine the cost of a pizza with one topping topping.
EXPLAIN HOW YOU DETERMINED THUS COST!!! please
ASAP
Can someone help me solve?
A. 72
B. 4.5
C. 144
D.9
Answer:
C: 144
Step-by-step explanation:
3 in. × 3 in. = 9
9 in. × 16 in. = 144 in.
please help me(i'm not smart so i don't get this at all T-T)
Answer:
Step-by-step explanation:
6x4=24+1=25 75/25=3 .
oh and btw go back to high school
12 pieces ! ( > < )
for future reference, this will be a lot easier to do than using points !! so simple :))
use your calculator to divide the large number by the small number !! that should give your answer
and remember if a fraction is out of four think of it like quarters or 25 cents :3
so 75 divided by 6.25 is 12 !!
good job !!! ♡♡
help i will give brainliest
A box of 15 cookies cost nine dollars what is the cost for one cookie
Answer:
9:15 = 0.6
answer : 0,6
.............
Anyone know this?? Thanks
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
The figure is a rhombus when the sides are the same length.
21 -x = 2x +9
12 = 3x . . . . . . . . add x-9 to both sides
4 = x . . . . . . . . . . divide by 3
A bag of potatoes weighs 15 pounds. How many kilograms is this?
Answer:
6.8 kg
Step-by-step explanation:
1 pound = 0.4536 kg
15(0.4536) = 6.804
i need help with this
Answer:
b≈41.95
Step-by-step explanation:
3392 divided by 56 x 986 -34 help
Answer:
59,689.43 (rounded)
Step-by-step explanation:
I cN explain how to get to the answer if you'd like
Jen needs to save $180 for a new camping tent. She is able to save $9 each week. How many weeks will Jen need to save to reach her goal? Write an equation to solve the problem. Explain how you found your answer.
(will give brainiest if answered correctly, if you just comment something wrong and a waste of time that is a report)
The ratio of boys to girls is 1:1.
If there are 250 boys, how many
girls are there?
Answer:
250 girls
Step-by-step explanation:
Boys = Girls
250 = Girls
If −6n=−48
then n=
HELP PLEASE
Answer:
8
Step-by-step explanation:
Asap need help fast pls!!!!!!
Answer:
i think its 20 too, tho good luck
Step-by-step explanation:
How many almonds in the cup? (1/4 cup) Help me
Answer:
The amount of almonds in the fourth cup are 40
Which is the cost of the minimum spanning tree of the weighted graph using Kruskal's Algorithm?
28
30
31
40
9514 1404 393
Answer:
(a) 28
Step-by-step explanation:
Kruskal's algorithm has you identify the shortest edge at each stage, including in the tree any identified edge that does not form a cycle. Here, we can start with AB, then add DF, EH, HG, BG, AC, CD and that covers the entire graph.
Starting at E, the node list is EHGBACDF. The cost is ...
3 +4 +5 +1 +6 +7 +2 = 28
__
In the attached, the minimum-cost spanning tree is highlighted in red.
3/4
of 7 please answer quick
Answer:
5 and 1/4
Step-by-step explanation:
7*3/4= 3/4 of 7.
Answer:
Step-by-step explanation:
HELP DUE SUPER SOON!!
A university has 32,040 students. In a random sample of 270 students, 18 speak three or more languages
Predict the number of students at the university who speak three or more languages.
The expected number of students at the university who speak three or more languages is
Answer:
2022 students
Step-by-step explanation:
Since 18 out of 270 students speak three or more languages, a prediction would be 30,330 x 18/270 = 2,022 students
Annie had 24 more paper clips than Paul.Paul had 20% fewer paper clips than Annie. How many paper clips do they have altogether help
Answer:
43.20
Step-by-step explanation:
100%=24
1%=24÷100=0.24
100+80=180
180%=0.24×180=43.20
The base figure in a mandala design is a nine-pointed star. Find the measure of each arc of the circle circumscribed about the star.
Will give brainliest!!
Answer:
c
Step-by-step explanation:
Answer:
B and C
Step-by-step explanation:
NEEDED ASAP PLEASE. 22-32 will give brqinliest no trolls
A) 79.2
C) 11.9
B) 8.9
D) 11.6
Answer:
789
Step-by-step explanation:
Please guys helppp ;( F(x)=mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b
Answer:
I think the answer is m= -1/3 b=7/3
Explanation:
so first, you need to make equations using the info that the question gave.
f(-2)= m(-2)+b f(4)= m(4)+b
= -2m+b =4m+b
f(-2)= 3 f(4)= 1
-2m+b= 3 4m+b=1 -(2)
b= 3+2m -(1)
substitute (1) into (2) : 4m+(3+2m)=1
4m+2m+3=1
6m=1-3
6m= -2
m= -2/6
m= -1/3
Substitute m= -1/3 into (2)
4(-1/3) + b=1
-4/3 +b =1
b= 1+ 4/3
b= 7/3
Therefore, m= -1/3 b=7/3
and that's how you do it
If the second of three consecutive integers is subtracted from 135, the result is the sum of the first and third. What are the integers?
Answer:
44, 45, and 46
Step-by-step explanation:
135-(x+1)=x+(x+2)
135-(x+1)=2x+2
135=3x+3
132=3x
x=44
So the first number is 44
Then just add 1 and 2 to get 45 and 46 as the second and third number.