Answers
Answer:
x = 20
Step-by-step explanation:
You can solve this problem using similar triangles; you know the triangles are similar due to the AAA property because of the Corresponding Angles Theorem.
To find x, you need to identify what sides 8 and x correspond to:
8 corresponds to 14 (6 + 8)
x corresponds to (x + 15)
Now, you need to find the scale factor by dividing 14 by 8:
14 ÷ 8 = 7/4
At this point, you can write and solve an equation for x:
7/4x = x + 15
3/4x = 15 (subtract x from both sides)
x = 20 (multiply both sides by 3/4)
Related Questions
The 15th term of an arithmetic sequence is 110 and the 19rd term of the sequence is 134.
a) Find the common difference.
b) Find the first term.
c) What is the 25th term?
Answers
Step-by-step explanation:
a) Common Difference = ?
15th term = 110
19th = 134
134 - 110
= 24/4
= 6
Common Difference = 6
b) First term = ?
110 = x+ (14) 6
x = 110 - 84
x = 26
First term = 26
c) 25th term = ?
= x 25 = 26+ (25)6
= x 25 = 176
25th term = 176.
Just number 14 pleaseee
Answers
9514 1404 393
Answer:
Step 2 is where the error lies.
The solution is x > 6
Step-by-step explanation:
The rules for solving inequalities are substantially similar to the rules for solving equations. If you perform the same operation on both sides of the comparison, the value of the variable does not change. (The exception is when that operation is an "order-reversing" operation. See comment below.)
Kahal's steps would be expected to be the same ones you would use:
Step 1: 4x -4 > 20 . . . given
Step 2: 4x > 24 . . . add 4 to both sides
Step 3: x > 6 . . . . . divide by 4
We note that our Step 2 is different from Kahal's Step 2. In Step 2 is where his mistake was made. He added 4 to one side and subtracted 4 from the other side.
__
Exception (order-reversing operations)
The operation you will usually run across in high-school algebra that will reverse ordering is multiplication (or division) by a negative number. Consider, for example, ...
1 < 2
-1 > -2 . . . . . both sides of the inequality multiplied (or divided) by -1
Notice that the order has been reversed: the larger magnitude number is now "less than".
A physicist needs 3,220 g of titanium to complete an experiment. She has 3 kg. How many more
kilograms of titanium does she need?
The physicist needs kg more.
(Type an integer or a decimal.)
Answers
Answer: 0.22kg
Step-by-step explanation:
if she has 3 kg then she has 3000 g. 3220-3000=220 So she needs 220 more grams of titanium. If she needs to convert how much more from grams to kilograms then 220g= 0.22kg so she needs 0.22 kg more
To check work
3kg+0.22kg= 3.22kg
3.22kg= 3,220g
What is the square root of √25
Answers
Answer:
5 is the square root of 25
Step-by-step explanation:
Have a great day!
and can I maybe please have brainliest?
Thanks!
Answer:
5 is the square root of √25
Step-by-step explanation:
hope it helps you
-5 + 2( x - 2 )
Show your work
Answers
Answer:
Step-by-step explanation:
look at the image
I know school can be hard and believe me I know sometimes u just want to quit but being in school can make a difference so I want to get u a lot of points please do your best have a good day or night
Answers
Answer:
Step-by-step explanation:
Thanks fam have a. Good night
As she climbs a hill, a cyclist slows down from 25 km/hr to 3 km/hr in 10 seconds. What is her deceleration?
Answers
PLEASE, help! thank u
4th time
Answers
Answer:
I do not no the answer but I had an assignment on khan like this before so maybe check khan academy if u haven't yet
A team can spend no more than $300 on shirts. The team has already spent $80. How many shirts for $15 each can they still buy?
Answers
Answer:
80 + 15x ≤ 300
Step-by-step explanation:
max amount = $300
already spent = $80
$300 - 80 = $220
shirts = $15 each
80 + 15x ≤ 300
$80 that is already spent + $15x ≤ $300 maximum
x = number of shirts
Convert into kilometer 213 km 42 m
Answers
Answer:
213.042 km
Step-by-step explanation:
We need to convert 213 km 42 m to km.
We know that,
1 km = 1000 m
or
1 m = (1/1000)km
So,
42 m = (42/1000) km
It means,
[tex]213\ km\ 42\ m=213\ km+\dfrac{42}{1000}\ km\\\\=213.042\ km[/tex]
So, the required answer is 213.042 km.
The sum of two numbers is 23. Twice one number increased by 6 is the same as 4 times the other number decreased by 2. What is the largest of the two numbers?
Answers
Answer:
32.5
Step-by-step explanation:
23x6÷4-2 and that's how you get your answer
1/3 x 3/8 with steps please. And thank you.
Answers
Answer:
(1/3) * (3/8) = 1/8
Step-by-step explanation:
Multiple: 1/3* 3/8
= 1 · 3/3 ·8
= 3/24
= 1 3/8·3
= 1/8
What is the exponential function (0,25) (1,50) (2,100) (3,200) (4,400)
Answers
Answer:
Step-by-step explanation:
If it is exponential dividing any term by the preceding term will be a constant, the common ratio or rate. 50/25=100/50...=2 The initial value, a, (at x=0) is 25 so the general form is
y=ar^x we have a=25 and r=2 so
y=25(2^x)
You are a T.V. salesperson who gets an 8% commission. How much commission do you
get when you sell a $400 T.V.?
Answers
Answer:
400 x 8% = $32.00
Step-by-step explanation:
Geometry student reference sheet
Answers
Answer:
i am so sorry but i need points a=5
I need help please! Thank you.
Answers
Answer:
Step-by-step explanation:
< UTY + <RWX = 180°
( same side interior angle theorem ) → < UTY + <RWX = 180°
Question 13 (5 points)
Keith has $75 from a saved allowance. He needs at least $135 for a new pair of
sneakers. Keith needs no less than more to buy the sneakers.
A) $72
B) $60
O g) 878
D) $56
Question 14 (5 points)
help
Answers
keith has $75 he needs at least $135 for his new sneakers so you take $75 and subtract that from $135 and you get $60 .
A mirror is placed on the ground between a 6 ft person and a
tree. If the mirror is 8 feet from the person and the distance
between the mirror and tree is 26 feet, find the height of the tree.
Answers
Answer:
Step-by-step explanation:
h/26=6/8
h=26(6)/8
h=19.5 ft
What is 3 divided by 4?
Answers
Answer:
3/4 is 75/100 or 0.75
Step-by-step explanation:
What are the angle measures?
Answers
a. Equation:
3x + 21 = 6x - 60 {measure of corresponding angles is the same}
3x - 6x = -60 - 21
- 3x = - 81
b. Value of x:
x = 27
c. Ange measures:
3x + 21 = 3×27 + 21 = 81 + 21 = 102°
or:
6x - 60 = 6×27 - 60 = 162 - 60 = 102°
Please answer this math problem soon! No need for an explanation
Answers
Answer:
32
Step-by-step explanation:
Need help ASAP!!!!!!!!
Answers
Answer:
24/35
Step-by-step explanation:
With a coupon, you can get a pair of shoes that normally costs $96 for $72. What percentage was the discount?
Answers
Answer:
25%
Step-by-step explanation:
96 - 72 = 24
24/96 = 0.25
0.25 = 25%
hope this helps!!
Answer:
The discount is 25%.
Step-by-step explanation:
Because you're solving for the discount, that means you have to set up the equation 72 = 96x, where x is the percent of the original price. The percent would then be 1 - x, and that would be 25% as your answer.
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Answers
Answer:
[tex]\displaystyle \sqrt{34}\:units ≈ 5,8\:units[/tex]
Step-by-step explanation:
No matter what happens to the shape, except for dilation, the sise will be the same, so just insert the lengths of the altitude and base into the formula, no matter if it is point D or B because of the Reflexive Property:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 3^2 + 5^2 = c^2 → 9 + 25 = c^2 → 34 = c^2 \\ \\ \sqrt{34} = \sqrt{c^2} \\ \\ 5,830951895 ≈ c → 5,8 ≈ c[/tex]
I am joyous to assist you at any time.
here's a formula:
a=2b-c
what is the value of a if b=11 and c=3?
Answers
Answer:
a = 19
Step-by-step explanation:
a=2b-c
a= 2(11) - 3
a = 22 - 3
a = 19
Answer:
a = 19
Step-by-step explanation:
2 x 11 = 22 - 3 = 19
So a = 19
In the given diagram(see image) , TAX and TBY are tangents to the circle and C is a point on the major arc.
Question :
If <CAX = 65° , <CBY = 76° , Calculate <ATB.
Answers
Answer:
∠ATB = 102°
Step-by-step explanation:
Since ∠CBY is less than 90°, CB is not a diameter.
I did this in my head so I drew a sketch to show that around about way I did it. sketch attached:
I drew a third line from X to Y that is tangent to the circle at C.
Because each pair of tangent lines to a common point are equal, we have made three isosceles triangles.
Now we know 2 of the three angles to ΔXYT, 180 - 50 - 28 = 102° for ∠ATB
Answer:
102°Step-by-step explanation:
Given
∠CAX = 65° , ∠CBY = 76°To find
∠ATBSolution
Refer to attached picture
∠CAX= ∠CBA as same arc intercepted ∠CBY = ∠CAB as same arc interceptedTAX is a straight angle and:
∠TAB = 180° - (∠CAX + ∠CAB) = 180° - (65° + 76°) = 39°∠TBA = ∠TAB as two tangents intersect at same distance, their opposite angles are therefore same. ΔATB is an isosceles triangle.
∠ATB = 180° - 2*39° = 102°Match the missing angle measurement to the diagram
Answers
In ΔSTU, the measure of ∠U=90°, ST = 67 feet, and TU = 14 feet. Find the measure of ∠T to the nearest degree.
Answers
Answer:
78
Step-by-step explanation:
Answer:
78
Step-by-step explanation:
Which of the expressions have like terms? Select all that apply
A. -6m + 4m
B. t + 6.75t
C. 10m + mn
D. 6 - 6p
E. 9xy - 4xy
F. 2y + 5x
Answers
Answer:
A, B, and E
Step-by-step explanation:
When talking about like terms you need to look at the variable. You have to look at which has the same variables and then you can determine which are like terms.
For A --> -6m + 4m both have m as a variable. They can be combined. Which is why they are like terms. Do the same for the rest.
What would NOT be like terms?
C-- 10m + mn
This is wrong because of the variable. the variable for 10m is m. When there is only a variable you can pretend there is a 1 (For example, m can be 1m but we ignore that). mn is a variable as a whole. So if we added one to the front, the variables of 10m and 1mn would not match! It does not matter if they both have an m, because the value would be different either way.
Hope this helps!!
-Ketifa
What are the zeros of the polynomial function?
Answers
Answer
12 and 20
Step-by-step explanation: