Answer:
First state that two triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Let's take two triangles that are similar:
Taking two triangles:
[tex]{\triangle ABC \text{ and } \triangle PQR[/tex]
If
[tex]\angle A \displaystyle \cong \angle P[/tex]
and
[tex]\angle C \displaystyle \cong \angle R[/tex]
Then,
[tex]{\triangle ABC \sim \triangle PQR[/tex]
It is Angle-Angle (or AA) Theorem.
It says that two triangles are similar if they have two pairs of corresponding angles that are congruent.
what is the relationship between angles 1 and 2?
Answer:
supplementary
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles and supplementary.
Answer:
Angles 1 and 2 are supplementary angles.
Step-by-step explanation:
This means that angles 1 and 2 add up to 180 degrees.
681/4 i dont know this
The right answer is 170.25
please see the attached picture for full solution
hope it helps
Good luck on your assignment
Five less than a number (n) is 28. Which equation shows this relationship?
5 < 28n
5- n = 28
n - 5 = 28
n - 28 = 5
Answer:
n - 5 = 28
Step-by-step explanation:
The number is n.
5 less than the number is n - 5.
5 less than the number is 28
n - 5 = 28
can anyone help? this question is based on using soh cah toa trig
Answer:
9.696
Step-by-step explanation:
Answer:
x = 9.7 feet
Step-by-step explanation:
Use tan to find the value of x
tan 22 = [tex]\frac{x}{24}[/tex] Simplify
0.404 = [tex]\frac{x}{24}[/tex] Multiply both sides by 24
x = 9.696 Round this answer to the nearest tenth of a foot
x = 9.7 feet
How many kilometers are there ??
Answer:
20
Step-by-step explanation:
1 hour=2 kg
10 hrs=10×2=20
Mark as brainliest please!
Question: Meghan has created a diagram of her city with her house, school, store, and gym identified. A. How far is it from the gym to the store? B. Meghan also wants to walk to get some exercise, rather than going to the gym. She decides to walk along arc AB. How far will she walk? Round to 3 decimal places.
Answer:
a). Distance between the gym and store 9.25 m
b). Meghan will walk 5.637 m along the arc AB.
Step-by-step explanation:
a). Theorem of intersecting chords inside the circle,
When two chords intersect each other in a circle multiplication of their segments are equal.
3×7 = 4a
a = [tex]\frac{21}{4}[/tex]
a = 5.25 m
Distance between the gym and store = 4 + 5.25
= 9.25 m
b). Length of an arc = [tex]\frac{\theta}{360}\times (2\pi r)[/tex]
[tex]\widehat{AB}[/tex] = [tex]\frac{64.6}{360}\times 2\pi (5)[/tex]
= [tex]\frac{646\pi }{360}[/tex]
= 5.6374 m
≈ 5.637 m
Therefore, Meghan will walk 5.637 m along the arc AB.
Which sequence shows a pattern where each term is 1.5 times the previous term?
–4, 6, –9, 13.5, …
10, 15, 25, 40, …
98, 99.5, 101, 102.5 …
–200, –300, –450, –675, …
Answer:
-200, -300, -450, -675
The geometric sequence which shows a pattern in which each term is 1.5 times the previous term is A = -200 , -300 , -450 , -675 ...
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the geometric progression be represented as A
Now , the value of A is
A = -200 , -300 , -450 , -675 ...
The common ratio of the GP = second term / first term
On simplifying , we get
r = -300 / -200
r = 3/2
r = 1.5
Therefore , each term is 1.5 times the previous term
Hence , the GP is solved
To learn more about geometric progression click :
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Determine the value of x in the figure. answers: A) x = 9 B) x = 6 C) x = 4.5 D) x = 3
Answer:
D
Step-by-step explanation:
The marks through each of the sides of the triangle denote that all of the side lengths of the triangle are equal, or that it is an equilateral triangle. Therefore:
7x+9=x+27
6x+9=27
6x=18
x=3
Therefore, the correct answer is choice D. Hope this helps!
Answer:
x=3
Step-by-step explanation:
The sides are the same length
x+27 = 7x+9
Subtract x from each side
x+27-x = 7x-x+9
27 = 6x+9
Subtract 9 from each side
27-9 = 6x
18 = 6x
Divide by 6
18/6 = 6x/6
3 =x
will mark bianleast plz plz i really need this
Triangle LMN is to be reflected across the x-axis.
What will be the vertices of the reflected triangle?
L'(–2, –1), M'(–3, –5), and N'(–6,–4)
L'(–2, 1), M'(–3, 5), and N'(–6,4)
L'(–1, 2), M'(–5, 3), and N'(–4,6)
L'(2, 1), M'(3, 5), and N'(6,4)
Answer:
fourth option
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y), thus
L(2, - 1 ) → L'(2, 1 )
M(3, - 5 ) → M'(3, 5 )
N(6, - 4 ) → N'(6, 4 )
rewrite the expression with a rational exponent as a radical expression.
Third option is the correct answer.
Answer:
[tex] \sqrt{5} [/tex]
Step-by-step explanation:
[tex] \huge \bigg( {5}^{ \frac{3}{4} } \bigg) ^{ \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{3}{4} \times \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{6}{12} } \\ \\ \huge = {5}^{ \frac{1}{2} } \\ \\ \huge = \sqrt{5} [/tex]
HELP EASY PHYSICS QUESTION URGENT :))
A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally. What is the horizontal distance the ball travels before returning to the ground?
a.15.5 m
b.17.5 m
c.19.5 m
d.21.5 m
Answer:
The horizontal distance the ball travels before returning to the ground is 19.5 m
Step-by-step explanation:
Formula of range of horizontal distance =[tex]\frac{u^2 Sin 2 \theta}{g}[/tex]
Where u is the initial velocity
g is gravity
We are given that A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally.
So, u = 15 m/s
[tex]\theta = 30^{\circ}[/tex]
g = 10
So, the horizontal distance the ball travels before returning to the ground = [tex]\frac{15^2 Sin 2(30^{\circ})}{10}=19.48 \sim 19.5 m[/tex]
Hence The horizontal distance the ball travels before returning to the ground is 19.5 m
please help i’m having a lot of trouble
Answer:
14°
Step-by-step explanation:
Because 76° and x are complementary (meaning they add up to 90°), 76 + x = 90 which means x = 14°.
2. Determine if the two quadrilaterals are similar,
if they are, state the scale factor.
Answer:
Yes, they are similar. The scale factor is 5/3
Step-by-step explanation:
The longest to the shortest side of quadrilateral KLMJ are: JM, ML, KJ, LK
The longest to the shortest side of quadrilateral QPSR are: QP, PS, RQ, SR
If the two quadrilaterals are similar, the following proportion must be satisfied:
JM = k*QP
ML = k*PS
KJ = k*RQ
LK = k*SR
where k is the scale factor. Solving for k and replacing with lengths:
k = 25/15 = 24/14.4 = 20/12 = 15/9 = 5/3
From the figure, we can also see that:
∠M ≅ ∠P
∠L ≅ ∠S
∠R ≅ ∠K
∠Q ≅ ∠J
Therefore, the two quadrilaterals are similar.
80 POINTS!!!!
The table shows how much Eric earns for pruning trees. Write an equation that relates t, the number of trees Eric prunes to p, the amount he earns. Solve your equation to find how much Eric earns if he prunes 7 trees.
Answer:
Equation: 15t
Solution: 105
Step-by-step explanation:
You multiply 15 and 7 to get your solution.
3 Euros can be exchanged for 22.41 Kroners. How many Euros can be exchanged for 100 Kroners?
Answer:
13.39 Euros
Step-by-step explanation:
The ratio between Euros and Kroners is 3:22.41. This means for every 3 Euros we get 22.41 Kroners. This also means for every Euro we get 22.41/3 = 7.47 Kroners. To calculate the number of Euros that can be exchanged for 100 Kroners, we simply divide 100 Kroners by our conversion factor. 100/7.47 = 13.3868809
the length of a rectangular picture frame is twice the width the frame has a permit from her murder of 96 in write and solve a system of equations to represent the solution let X represent the width of the frame and it lives represent the length of the frame interpret the solution
Answer:
16 is the width 32 is the length
Step-by-step explanation:
L = 2x
96 = 2L + 2x Substitute the first equation into the second equation for L
96 = 2(2x) + 2x Multiply
96 = 4x + 2x Add
96 = 6x Divide both sides by 6
16 = x
Plug this into the first equation to solve for the length
L = 2(16) Multiply
L = 32
What is the sum of 3 times a number and 2
Answer:
3x+2
Step-by-step explanation:
I believe you asked for the equation
Which statement justifies that ∠K ≅ ∠N? answers: A) ΔHKL ≅ ΔHMN by ASA; but the two angles aren't congruent because they aren't corresponding angles. B) The two angles aren't congruent. C) ΔHKL ≅ ΔHMN by ASA; ∠K ≅ ∠N because they're corresponding angles in congruent triangles. D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.
Answer:
Correct answer is:
D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.
Step-by-step explanation:
We are given the diagram, in which there are 2 triangles namely [tex]\triangle HLK, \triangle HMN[/tex].
1. Side KH = Side NH
2. [tex]\angle L \cong \angle M[/tex]
From the given figure, we can derive that:
[tex]\angle KHL \cong \angle NHM[/tex]
Property used: Vertically opposite angels made by two lines crossing each other are equal.
So, we have two angles ([tex]\angle L \cong \angle M[/tex] and [tex]\angle KHL \cong \angle NHM[/tex])of the triangle as same and one side equal from the two given triangles [tex]\triangle HLK, \triangle HMN[/tex].
So, we can say that the two triangles are congruent.
[tex]\triangle HLK \cong \triangle HMN[/tex]
The side is not between the two equal angles, so it is AAS congruence.
And Congruent triangles have their corresponding angles equal.
Therefore, option D) is true :
ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N, because they're corresponding angles in congruent triangles.
Answer:
ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.
Step-by-step explanation: I took the test
Find the equation of the linear function
represented by the table below in slope-
intercept form.
X
у
-3
-6
1
1
-2
5
2
9
6
Answer:
I think that the answer is C D E
find f(3) for f(x)=3^x+3
Answer:
f(3) = 30
Step-by-step explanation:
f(3) = 3^(3) + 3
f(3) = 27 + 3
f(3) = 30
Please help as quick as possible
Answer:
4/81
Step-by-step explanation:
1/4, 1/6, 1/9, 2/27 series
1/6÷1/4= 1/6×4= 2/31/9÷1/6=1/9×6= 2/32/27÷1/9=2/27×9= 2/3So the common ratio is 2/3
2/27*2/3= 4/81 is the next termI need help on these two questions please.
Answer:
They are similar
Step-by-step explanation:
What is the FIRST step in solving this equation? 4x + 6 = 20 *
Answer:
Subtract 6 from each side
Step-by-step explanation:
4x + 6 = 20
Subtract 6 from each side
4x + 6 -6= 20 -6
4x = 14
Answer:
[tex]subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ [/tex]
Step-by-step explanation:
[tex]4x + 6 = 20 \\ subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ 4x = 20 - 6 \\ 4x = 14 \\ \\ [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
pls i need the help.
Answer:
3. 16a+24b
Step-by-step explanation:
I know this because I grouped the eqatiobs together
Answer:
#3. 16a + 24b
Step-by-step explanation:
P= 2( length plus width).
write a reply to this letter informing the immediate steps that would be taken to solve the problem.
complain against improper garbage collection.
I would like to bring into your attention a problem that is faced by the residence of this area .we have noticed that there is no propose schedule of collection of garbage for the past few months .the original schedule day to collect garbage is on every Friday but this seems to miss this day most of times.
because of that we have faced a lot of problems on rainy days there is a bad odour in an around the area and there is a risk of spreading of diseases .
so please be kind enough to look into this matter as soon as possible .
*will give the brainliest!!
CAN YOU PLEASE INBOX ME ??
Scientists in Maine estimates the 3 out of every 11 bears are born during the month of April predict how many bears are born in April out of 165 births
Answer fast plsss
The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance betweeb city A and city C is 51 miles. What type of trianglr is created by the three cities?
Answer:
the triangle is an obtuse
Step-by-step explanation:
draw it out
Answer: Acute Triangle
Step-by-step explanation:
54 is the hypotenuse because it is the longest side.
Square all of the sides.
So
54^2=2916
51^2=2601
22^2=484
Now you have 2916=2601+484
Add the two on the right and they will be greater than 2916.
Because of that, you will have an acute triangle because 22^2+51^2>54^2
There are 5 bacteria in a petri dish at the start of an
experiment. This type of bacteria doubles every 20
minutes.
Find the number of bacteria after 4 hours.
40
10,240
20,480
40,960
Answer:
20,480
Step-by-step explanation:
5x2^12
Answer:
20480
Step-by-step explanation:
got it right on edge
What is the volume of a hemisphere radius of 44.9 m rounded to the nearest 10th of a cubic meter
Answer:
189582.23m^3
Step-by-step explanation:
formula for the volume of a hemisphere=2/3 x pi x r^3
The volume of a hemisphere radius of 44.9 m rounded to the nearest 10th of a cubic meter is 181,037 cubic meters.
How to calculate volume of a hemisphere?We can say that a hemisphere is exactly half of a sphere. The volume of the hemisphere is obtained by Archimedes and is half the volume of a sphere. The volume V of a hemisphere is two-thirds times pi times the radius cubed.
The formula for the volume of a hemisphere is :
[tex]V=2/3 * \pi * r^3\\V= 2/3 (3.14) (44.9)^3\\V= 181,037 m^3[/tex]
See more about volume at brainly.com/question/1578538
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Can someone please help me! Explain the Error. Find the correct solution.
4w (w - 3)+(-5)(w – 3) = (w - 3)(4w +5)
Answer:
w=3
Step-by-step explanation:
[tex]4w(w-3)+(-5)(w-3)=(w-3)(4w+5)\\4w^{2} -12w-5w+15=4wx^{2} +5w-12w-15\\4wx^{2} -17w+15=4wx^{2} -7w-15\\4wx^2-10w+15=4wx^{2} -15\\4wx^{2} -10w=4wx^{2} -30\\-10w=-30\\w=3[/tex]
