What’s the triangle similarity theorem?

Whats The Triangle Similarity Theorem?

Answers

Answer 1

Answer:If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional

Step-by-step explanation:


Related Questions

Simplify:9-1÷2÷27^2÷3​

Answers

First let's calculate the exponents.

[tex]27^2 : 729 = 9-1\div \:2\div \:729\div \:3[/tex]

Now we should multiply and divide.

[tex]1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}[/tex]

Now we should add and subtract.

[tex]9-\frac{1}{4374} :\frac{39365}{4374} = \frac{39365}{4374}[/tex]

Convert the improper fractions into mixed numbers.

[tex]8\frac{4373}{4374}[/tex]

Answer :

[tex]8\frac{4373}{4374}[/tex]

can someone please answer

Answers

Answer:

x =62

Step-by-step explanation:

The two angles form a straight line so they add to 180

x+118 = 180

Subtract 118 from each side

x = 180-118

x =62

Answer:

x = 62°

Step-by-step explanation:

These both angles are located at straight line.

So, the sum of both angles is 180 °.

x + 118 ° = 180 °

Subtract 118 ° from 180 °

x = 180 ° - 118 °

x = 62 °

help me please this is due at 10

Answers

Answer:

3,375mm^3

Step-by-step explanation:

To find the volume, you do the length times the width times the height. Since this is a cube, the length, width, and height are all 15 mm. Multiply 15 times 15 times 15 to get 3375. The answer is 3375 cubic inches or 3375mm^3

Jamil’s car uses 4 and 2/3
gallons of gasoline to travel 49 miles. At this rate how far can Jamil’s car travel per gallon of gasoline?

Answers

I’m also stuck on this question

Answer:

10.5 miles

Step-by-step explanation:

[tex]\frac{4\frac{2}{3} }{49} :\frac{1}{y}[/tex]

4 2/3 × y = 1 × 49

[tex]4\frac{2}{3}y=49[/tex]

[tex]4\frac{2}{3}y/4\frac{2}{3} =49/4\frac{2}{3}[/tex]

[tex]y = 10\frac{1}{2}[/tex]

The quantity y varies as the cube of (x+2) y=32 when x=0. Find y when x=1

Answers

Answer:

[tex]y \: \alpha \: {(x + 2)}^{3} \\ y = k {(x + 2)}^{3} \\ k \: is \: a \: constant \\ when \: x = 0 \: \: y = 32 : \\ 32 = k {(0 + 2)}^{3} \\ 32 = k(8) \\ k = 4 \\ \therefore \: y = 4 {(x + 2)}^{3} \\ when \: x \: is \: 1 : \\ y = 4 {(1 + 2)}^{3} \\ y = 4 \times 27 \\ y = 108[/tex]

A circle with the centre (0,0) has an equation of x2 + y2 = 169
a. What is the radius?

Answers

165 is the radius because 169-169 is 0
Your answer is going to be 0

can anyone answer this ?
plz show your working as well
1) (3x2– 4x – 1) + (8x2– x + 6)
2) (6x2– x – 4) + (2x2+ 5x – 5)
3) (4x2 +2x – 5) + (6x2– x – 5)

Answers

1.

[tex](3 {x}^{2} - 4x - 1) + (8 {x}^{2} - x + 6) \\ \\ combining \: the \: like \: terms,\:we\:have\\ \\ = 3 {x}^{2} + 8 {x}^{2} - 4x - x - 1 + 6 \\ \\ = 11 {x}^{2} - 5x + 5[/tex]

2.

[tex](6 {x}^{2} - x - 4) + ( 2{x}^{2} + 5x - 5) \\ \\combining \: the \: like \: terms, \: we \: have \\ \\= 6 {x}^{2} + 2 {x}^{2} - x + 5x - 4 - 5 \\ \\= 8 {x}^{2} + 4x - 9[/tex]

3.

[tex](4 {x}^{2} + 2x - 5) + (6 {x}^{2} - x - 5) \\ \\ combining \: th e\:l ike \: terms, \: we \: have \\ \\= 4 {x}^{2} + 6 {x}^{2} + 2x - x - 5 - 5 \\ \\= 10 {x}^{2} +x - 10[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

URGENT PLS HELP!!!
divide 2475ml in the ratio 3:8

Answers

Answer:

765 ml & 1800 ml

Step-by-step explanation:

[tex]3x + 8x = 2475\\\\11x = 2475\\\\x=225\\\\3(225)=765\\8(225)=1800[/tex]

765 have a good day

Here is an expression: 3 ⋅ 2^t. Evaluate the expression when t is 4.

Answers

Answer:

48

Step-by-step explanation:

3 ⋅ 2^t

3 * 2^4

3*16

48

Gerry is painting a fence. He painted
of the fence in the morning and of
the fence in the afternoon. How much
of the fence has he painted in all?
Give your answer in simplest form.
of the fence
Enter Plz help

Answers

17\20 should be the correct answer

What are the scores of the students which are less than equal to 25% of the data?

Answers

Answer:

24/100

Step-by-step explanation:

SUPER URGENT: What is the range of y = sinx in the interval - π ≤ x ≤ 0?
-1 ≤ y ≤ 1
-1 ≤ y ≤ 0
0 ≤ y ≤ 1
y ≤ 1

Answers

Answer:

-1 ≤ y ≤ 0

Step-by-step explanation:

here, we simply want to know the range of values for sin x over the given interval

The range of values for sin x are simply the values in which y will take over the given interval of x

let’s start with the value sine (-pi)

We have this as;

0

And the value of sin (0) = 0

Recall, between -pi and 0, we have (-pi/2)

so sin (-pi/2) = -1

Thus, we have the correct range of values as;

-1 ≤ y ≤ 0

PLEASE help!! I will give BRAINLIST :)

Answers

Answer:

[tex]1 + cot^2 \theta[/tex]

Step-by-step explanation:

Given the expression;

[tex]\frac{tan^2\theta+1}{tan^2 \theta}[/tex]

Separating into partial fraction;

[tex]\frac{tan^2 \theta}{tan^2 \theta} + \frac{1}{tan^2 \theta}\\= 1 + \frac{1}{tan^2 \theta}\\\\[/tex]

Since [tex]\frac{1}{tan \theta} = cot \theta\\[/tex]

Hence the expression becomes;

[tex]1 + cot^2 \theta[/tex]

A company paid a ₦25200 electricity bill to NEPA. The bill included VAT at 5%. Calculate the amount of VAT paid​

Answers

Answer:

1260

Step-by-step explanation:

5÷100=0.05

0.05×25200=1260

Translate the following sentence into an equation using n for the unknown number. Then solve for n. when 15 is decreased by three times a number, the result is 21 a. 15 minus 3 n = 21. n = negative 2. b. 3 n minus 15 = 21. n = negative 2. c. 3 n minus 15 = 21. n = 12. d. 15 minus 3 n = 21. n = 2. Please select the best answer from the choices provided A B C D

Answers

Answer:

n=-2,A

Step-by-step explanation:

15-3n=21

-3n=21-15

-3n=6

n=6/-3

=-2

PLEASE I NEED HELP kitty’s
• graph and multiple choice
Plz I need it right to pass
(Easy point)10

Answers

Answer: D

The question mentions that at month 1, there are 8 milligrams of a radioactive substance. So on the graph the first point – month 1 would be at 8.

It halves each month, so the point for month 2 would be at 4, and so on.

Hope it helps :]

ok pls pls help !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

everything can be found in the picture

Help! What is the average rate of change of f(x)=x^2+3x+6 over the interval -3 less-than-or-equal-to x less-than-or-equal-to 3?

Answers

Answer:

The average rate of change of the function over the interval is 5.

Step-by-step explanation:

Average rate of change of a function:

The average rate of change of a function f(x) over an interval [a,b] is given by:

[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]

Interval -3 less-than-or-equal-to x less-than-or-equal-to 3

This means that [tex]a = -3, b = 3[/tex]

[tex]f(x) = x^2 + 3x + 6[/tex]

So

[tex]f(b) = f(3) = (3)^2 + 3(3) + 6 = 9 + 9 + 6 = 24[/tex]

[tex]f(a) = f(-3) = (-3)^2 + 3(-3) + 6 = 9 - 9 + 6 = 6[/tex]

Average rate of change

[tex]A = \frac{f(b)-f(a)}{b-a} = \frac{24+6}{3-(-3)} = \frac{30}{6} = 5[/tex]

The average rate of change of the function over the interval is 5.

what are ascending number's​

Answers

Answer:

Ascending order

Step-by-step explanation:

Ascending numbers are numbers that begin from smallest to biggest.

what are the x intercepts if y=5x^2-15x​

Answers

Answer:

The x Intercepts of y=5x^2-15x is (1, 0) and (-1, 0)

Step-by-step explanation:

Answer:

(0,0) and (3,0)

Step-by-step explanation:

5x²-15x = 0

5x(x-3) = 0

5x=0;    x=0

x-3=0;   x=3

In circle F with mEHG = 42, find the mEFG.

Answers

Answer:

∠EFG=2×∠EHG

∠EFG=2×42

∠EFG=84°

so,m∠EFG=84°

------------------------

hope it helps...

have a nice day!!

write the following ratios in simplest form.

35:100​

Answers

Answer:

7:20

Step-by-step explanation:

divide both by 5 to simplify

h(x)=sqrt(x) and g (x)=4x^2+4, find h(g(sqrt(a))))

Answers

[tex]\begin{cases} h(x)=\sqrt{x}\\ g(x)=4x^2+4 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ g(\sqrt{a})=4(\sqrt{a})^2+4\implies g(\sqrt{a})=4\sqrt{a^2}+4\implies g(\sqrt{a})=\boxed{4a+4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ h(~~g(\sqrt{a})~~)\implies h\left( \boxed{4a+4} \right)=\sqrt{4a+4}\implies h(~~4a+4~~)=\sqrt{4(a+1)} \\\\\\ h(~~4a+4~~)=\sqrt{2^2(a+1)}\implies h(~~4a+4~~)=2\sqrt{a+1}[/tex]

what is z
10.42= −2.6z+0.8

Answers

Answer:

-3.7 =z

Step-by-step explanation:

10.42= −2.6z+0.8

Subtract .8 from each side

10.42-.8= −2.6z+0.8-.8

9.62= −2.6z

Divide each side by -2.6

9.62 / -2.6 = -2.6z/-2.6

-3.7 =z

[tex]\sf\purple{The\:value\:of\:z\:is\:-3.7.}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]10.42 = - 2.6 \: z + 0.8 \\ \\✒ \: 2.6 \: z = 0.8 - 10.42\\ \\ ✒ \: 2.6 \: z = - 9.62 \\\\ ✒ \: z \: = \frac{ - 9.62}{2.6} [/tex]

To remove the decimals, we multiply both numerator and denominator by 100.

[tex]✒ \: z \: = \frac{ - 962}{260} \\ \\ ✒ \: z = - 3.7[/tex]

To verify:-

[tex]10.42 = - 2.6 \times ( - 3.7) + 0.8 \\ \\✒ \: 10.42 = 9.62 + 0.8 \\ \\✒ \: 10.42 = 10.42 \\\\ ✒ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

I'LL MARK BRAINLIEST !!!!


Select the two correct solutions of the inequality x + 8 > 14.


a. 2


b. 4


c. 6


d. 8


e. 10


PLEASE ANSWER QUICKLY !!

Answers

Answer:

d and e

Step-by-step explanation:

for a

substitute 2 for x

2 + 8 > 14

2 + 8 = 10

10 > 14

10 is not greater than 14 therefore 2 is not a solution to the inequality

for b

substitute 4 for x

4 + 8 > 14

4 + 8 = 12

12 > 14

12 is not greater than 14 therefore 4 is not a solution to the inequality

for c

substitute 6 for x

6 + 8 > 14

6 + 8 = 14

14 > 14

14 is not greater than 14 therefore 6 is not a solution to the inequality

for d

substitute 8 for x

8 + 8 > 14

8 + 8 = 16

16 > 14

16 is greater than 14 therefore 8 is a solution to the inequality

for e

substitute 10 for x

10 + 8 > 14

10 + 8 = 18

18 > 14

18 is greater than 14 therefore 10 is a solution to the inequality

we can conclude that the answers are d and e

A music store bought a CD set at a cost of​ $20. When the store sold the CD​ set, the percent markup was​ 40%. Find the selling price.

Answers

Answer:

$28.00

Step-by-step explanation:

1. The markup is 40% of the $20 cost, so the markup is:

(0.40)(20) = 8

2. Then the selling price, being the cost plus markup, is:

20 + 8 = 28

3. The CD set sold for $28.00

Step-by-step explanation:

sp=(100+p)% of cp

=100+40/100*20

=140/100*20

=28

A number increace by a 5 is 12

Answers

Answer:

[tex]n + 5 = 12[/tex]

Step-by-step explanation:

"A number increased by a 5 is 12".

The value of n.

[tex]n + 5 = 12[/tex]

[tex]n = 12-5[/tex]

[tex]n = 7[/tex]

Hope it is helpful....

Answer:

7

Step-by-step explanation:

subtract the sum, in this case 12. by 5 to get the answer. 12-5=7

what is the domain of the function g(x)
pls help what are the answers a through f

Answers

Answer:

Domain : (-∞, ∞)

Step-by-step explanation:

Domain of a function is a set of x-values of the function.

Therefore, all x-values at which the given function is defined will be the domain of the function.

From the graph attached,

Given function is defined for all x-values.

Domain : Set of all real numbers.

Or Domain : (-∞, ∞)

solve for x
4^5x=(1/32)^1-x

Answers

x = -1

Step-by-step explanation:

[tex] {4}^{5x} = {2}^{2(5x)} = {2}^{10x} [/tex]

[tex] {( \frac{1}{32}) }^{(1 - x)} = {2}^{ - 5(1 - x)} = {2}^{(5x - 5)} [/tex]

or

[tex] {2}^{10x} = {2}^{(5x - 5)} [/tex]

Since both sides have the same base, we can write

10x = 5x - 5

or

5x = -5

x = -1

10/d(d-2) + 4/d = 5/d-2

Answers

Answer:

impossible

Step-by-step explanation:

a denominator can’t be equal to 0. So:

d ≠ 0 ; d ≠ 2

(10 + 4d - 8)/d(d-2) = 5d/ d(d-2)

4d + 2 = 5d

d = 2

But we have said that d can’t be equal to 2, so the equation is impossible.

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