Answer:
a. True
Step-by-step explanation:
Any two polygons are similar if their corresponding angles are congruent and the measures of their corresponding sides are proportionalName four pairs of adjacent angles
Answer:
JKH and HKE, HKE and EKF, EKF and GKF, GKF and JKG
Step-by-step explanation:
i hope this is right, and helps lol
adjacent angles have a common vertex and side, so these should be correct
Round 8250 to the nearest hundred.
Answer:
8300
Step-by-step explanation:
i believe it is 8300 but if im wrong let me know
An investment of $1500 is earning 7% simple interest each year. How much will the investment be worth after one year?
Answer:
$1,605
Step-by-step explanation:
As, 7% of $1,500 is = $105
So, the investment is = Principcal + Interest.
= $1,500 + $105 = $1,605
The value of investment after one year will be $1,605.
About Investment:It is an asset invested to increase wealth and save money from the hard earned income. Investment is primarily to obtain an extra source of income or gain profit from the investment over a specific period of time.Computation of investment after one year:Given that,
Principal[P] = $1,500.
Rate[R] = 7%.
Time[T] = 1 year.
Formula of simple interest[S.I] :
[tex]\text{ S.I.} = \dfrac{P\times R\times\ T}{100} .\\\\ \text{S.I.} = \dfrac{\$1,500\times7}{100}\\\\ \text{S.I. }=\$105.[/tex]
Investment after one year will be :
[tex]\text {Investment}= \text{Principal} +\text{Interest}.\\\text{Investment}=\$1,500+\$105\\\text{Investment} =\$1,605[/tex]
Hence, the worth of investment after one year will be $ 1,605.
Learn more about Simple Interest, refer:
https://brainly.com/question/2793278
2.30+2.50+2.75+2.00
Answer:
9.55 hope this helps :)
Step-by-step explanation:
1
2.30
2.50
+ 2.75
2.00
-----------
9.55
Simplify the expression.
-3a + (-5a) – 7 + 6a
A. 14a + 7
B. -2a + 7
C. 2a - 7
D. -2a - 7
SHOW YOIUR WORK PLZSSSSSS
the picture above ^^
Answer:
Step-by-step explanation:
square root of 25x^2 is 5x. square root of 36 is 6
2(5x)(6)
60x
Graph the solution of y ≥ 1/3x + 4. (points plz)
Answer:
(0,4) (3,5) (6,6)
Step-by-step explanation:
solid line
shaded above
Factorise fully : 12x-8
please help :(
Answer:
-96 :)
Step-by-step explanation:
12 x (-8) = -96
if there is one negative in the problem the answer will be negative.
Find the recursive rule, explicit rule, and f(20)
Answer:
Recursive:
[tex]f(1)=4, f(n)=f(n-1)-4[/tex]
Explicit:
[tex]f(n)=4-4(n-1)[/tex]
And the 20th term f(20) is -72.
Step-by-step explanation:
We have the sequence:
4, 0, -4, -8...
Let’s find the recursive and explicit rule for the sequence.
Recursive Rule:
Let’s determine the factor by which the sequence is decreasing by. We see that each subsequent term is 4 less than the previous term. In other words, our common difference is -4.
So, this is a arithmetic sequence.
The standard format for an recursive rule for an arithmetic sequence is:
[tex]f(1)=a , f(n)=f(n-1)+(d)[/tex]
Where a is the initial term and d is our common difference.
From our sequence, we know that our initial term a is 4.
We also determined that our common difference is -4.
Substitute. Hence, our recursive rule is:
[tex]f(1)=4, f(n)=f(n-1)-4[/tex]
Explicit Rule:
The standard format for an explicit rule for an arithmetic sequence is:
[tex]f(n)=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference. So, again, let’s substitute 4 for a and -4 for d. Hence, our explicit formula is:
[tex]f(n)=4-4(n-1)[/tex]
To find f(20), we can use the explicit formula. It is possible to use the recursive formula, but it gets tedious. Therefore, we will substitute 20 for n for our explicit formula:
[tex]f(20)=4-4(20-1)[/tex]
Evaluate:
[tex]\begin{aligned} f(20)&=4-4(19) \\ f(20)&=4-76 \\ f(20)&=-72 \end{aligned}[/tex]
Hence, our 20th term is -72.
How do I solve this equation and check the solutions?
Answer:
{-6}
Step-by-step explanation:
Step 1 Raise both sides of the equation to the index of the radical in the case 2
[tex](\sqrt{2x+13} )^{2} =(x+7)^{2}[/tex]
[tex]2x + 13 = (x+7)(x+7)[/tex]
[tex]2x +13 = x^{2} + 14x + 49\\0=x^{2} +12x+36[/tex]
Step 2 Factor
(x + 6)(x + 6) = 0
x + 6 = 0
x = - 6
Step 3 Check -6
[tex]\sqrt{2(-6)+13} = -6 + 7\\\sqrt{-12+13} = 1\\\sqrt{1} = 1\\1 = 1[/tex]
Best Buy is having a sale on computers. Katherine picks out a computer that was originally $1099.99
If the computer is 18% off, What is the final price of the computer?
Round to the nearest penny.
Answer:
$901.9918
Step-by-step explanation:
$901.9918
y=-2x+1
3x-2y=5 consider the systems of equations
I hope this is the way it must be calculated
which series has a sum of 20?
Answer:
the first option has a sum of 20
Step-by-step explanation:
Answer:
the first one has a sum of 20
Step-by-step explanation:
Jan jdjnznxwjzn help
Answer:
A.
Step-by-step explanation:
Help me pleaseeeeeeeeeeeee
Answer:
4/3 for slope.. I'm unsure if its also asking for y- intercept
Step-by-step explanation:
I will give you brainliest if you figure this out
Answer:
Substitue 3 in for x...
Step-by-step explanation:
By substituting 3 in for x, you can solve for y. The result should be the same.
Please help me, will mark you as brainiest! Don’t answer if you don’t know it!
Answer:
The correct option is;
26.8
Step-by-step explanation:
The given parameters are;
The perpendicular bisectors of the sides of ΔMNP = Segments OQ, OR, and OS
Therefore;
in Segment MN, segment QM = segment QN, by definition of bisected line
Segment OQ = Segment OQ by reflexive property
∠OQM = ∠OQN = 90° by definition of perpendicular bisector
∴ ΔOQN ≅ ΔOQM, by SAS rule of congruency
Segment MO ≅ Segment ON by Congruent Parts of Congruent Triangle are Congruent, CPCTC
Segment MO = Segment ON = 26.8, by definition of congruency
Segment MO = 26.8
PLEASE HELP ME WITH THIS QUESTION ^^
whats the simflied for 6x-2(3x-4)
Answer:
No solution
Step-by-step explanation:
6x - 2(3x - 4)
Distribute;
6x - 6x + 8
0 ≠ 8
for what value of X is ABCD a rectangle ? explain your answer
Answer:
10
Step-by-step explanation:
If ABCD is a rectangle, then AB=CD and AC=BD.
AC=BD, so x+6=2x-4Subtract, -x+6=-4Subtract, -x=-10Make positive, x=10Check work:
10+6=2(10)-410+6=20-416=16i cant figure out what 8 1/2-3/5 is equals
Answer:
7.9 or 7 9/10
Step-by-step explanation:
standard form. Ax+By=C. what is c, how do i find the slope, how do i find the x intercept, how do i find the y intercept. can you please give a simple example?
Can someone Please help me?
At part of an hour passes between 3:12pm an 4:30pm
Help
Answer:
1h 18min
Step-by-step explanation:
Not sure if that is what the problem is asking you.
Answer:
An 1 hour and 18 minutes
Step-by-step explanation:
Yes uhmmm hope this helps I guess
I WILL MARK YOU BRAINLIEST PLEASE HELP. It needs to be correct
Answer:
a) Center of dilation (0,0)
b) Scale factor = 2
Step-by-step explanation:
Dilation of Polygons
The triangle ABC has its vertices at A(-2,2), B(4,2), and C(-2,-2).
The triangle A'B'C' has its vertices at A'(-4,4), B'(8,4), and C'(-4,-4).
Since A'B'C' is a dilation of ABC, we check if all its vertices are proportional with the same scaling factor.
Both vertices of A' are twice the vertices of A: (-4,4)=2*(-2,2)
Both vertices of B' are twice the vertices of B: (8,4)=2*(4,2)
Both vertices of C' are twice the vertices of C: (-4,.4)=2*(-2,-2)
a)
The proportionality of the coordinates of the vertices tells us the center of dilation must be the origin of coordinates (0,0).
b)
The scale factor is the constant number all the vertices are multiplied by, that is, scale factor = 2
Two angels of a triangle measure 12 and 40.
What is the measure of the third angle of the triangle ?
Answer:
C) 128
Step-by-step explanation:
Sum of all three angles of triangle = 180
Let the third angle be 'x'
x + 12 + 40 = 180
x + 52 = 180
x = 180 - 52
x = 128
PLS HELPPPPPPPPP!!!!!!!!!!!3. There are many bacteria that live inside of us. By some estimates there are 3.8 x 1013 bacteria that live inside each of our bodies. Each bacterium weighs, on average, 5.1 x 10-12 grams. What is the total gram
weight of bacteria in a human body? Round to the nearest gram.
Answer:
193.8
Step-by-step explanation:
a = 3.8 times 10^13 = 38,000,000,000,000
b = 5.1 times 10^-12 = 0.0000000000051
a times b = 193.8
Sin(a+b)=15/13 Sina=2/3 find sinb
Answer: [tex]\frac{19}{39}[/tex]
Step-by-step explanation:
1. S(a+b) = 15/13
2. I tells us that sina = 2/3
3. 2/3 + sinb = 15/13
4. Solve for sinb which will be 19/39
I hope this is right.
. How many 0.5-liter glasses of water can be poured from a full 6-liter pitcher? HELPP
Answer:
2 glasses
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
6(2)
3x+4y=8 please solve for Y
Answer:
(8-3x)/4
Step-by-step explanation:
3x+4y=8
4y=8-3x
y=(8-3x)/4
So the answer is (8-3x)/4