25. Given: TE= RI, TI = RE,
Proof
LTDI and LROE are right /
Prove: TD=RO

25. Given: TE= RI, TI = RE,ProofLTDI And LROE Are Right /Prove: TD=RO

Answers

Answer 1

Answer:

In triangle TEI and ERI

TI = RE ( given)

angle TDI = angle ROE ( given).

TE = RI ( given).

by side angle side criteria

both the triangles are congruent

by cpct ( corresponding parts of congruent triangles)

TD is congruent to RO


Related Questions

Find the measure of ZDCF. C F mDF = 49 G E MEG = 127 Find the measure of angle DCF​

Answers

Answer:

Step-by-step explanation:

Comment

If two secants intersect outside a circle (as these two do) then the angle at which they meet is 1/2 the difference between the intersected arcs. Put much simpler <DCF = 1/2 (arc EG - arc DF)

Givens

Arc EG = 127

Arc DF = 49

Solution

<DCF = 1/2(127 - 49)

<DCF = 1/2(78)

<DCF = 39

What is the area of the triangle pictured?
A. 612 in2
B. 540 in2
C. 555 in2
D. 531 in2

Answers

Answer:

D. 531[tex]in^{2}[/tex]

Step-by-step explanation:

I suppose these are rectangles and not triangles.

Area of Rectangle = Length x Breadth

Area of Large Rectangle = 21 x 18

= 378[tex]in^{2}[/tex]

Area of Small Rectangle = 17 x 9

= 153[tex]in^{2}[/tex]

Total Area = Area of Large Rectangle + Area of Small Rectangle

= 378 + 153

= 531[tex]in^{2}[/tex]

Question 2(10 pos

A football quarterback has 2 more chances to throw a touchdown before his team is forced to punt the ball. He mates the receiver the first trew of the time When his fest throw is incomplete he misses the receiver on the second throw 10% of the tame What is the probability of not throwing me ball to a receiver on either throw?

Answers

The chance of not throwing the ball to a receiver on either throw is 0.0375, or 3.75 per cent.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

This is event A when he misses the first throw. P(A) = 25%, or 0.25 Because event B takes place only after event A. When he misses on the second throw, event B occurs. P(B/A) = 15% or 0.15

P(A[tex]\cap[/tex]B) = P(A) P(B/A) P(A[tex]\cap[/tex]B)

P(A[tex]\cap[/tex]B) = (0.25)x(0.15) P(ANB)

P(A[tex]\cap[/tex]B) = 0.0375

Therefore the chance of not throwing the ball to a receiver on either throw is 0.0375, or 3.75 per cent.

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8.
(05.04 LC)

The amount of money in tips earned by four restaurant servers waiting on 10 tables is represented by the following data sets.

Alyssa {3, 6, 2, 8, 12, 14, 5, 7, 7, 8}
Bryant {9, 2, 7, 50, 0, 5, 2, 8, 6, 8}
Camila {1, 9, 10, 3, 0, 12, 10, 9, 8, 2}
Devon {4, 2, 8, 15, 20, 7, 5, 0, 6, 2}

Which data set has the greatest interquartile range? (1 point)
Alyssa

Bryant

Camila

Devon

Answers

Camila's data set has the greatest interquartile range and the value of IQR = 8 option third is correct.

What is the range?

It is defined as the difference between the maximum value in the data set to the minimum value in the data set.

We have:

The amount of money in tips earned by four restaurant servers waiting on 10 tables is represented by the following data sets:

Alyssa {3, 6, 2, 8, 12, 14, 5, 7, 7, 8}

Bryant {9, 2, 7, 50, 0, 5, 2, 8, 6, 8}

Camila {1, 9, 10, 3, 0, 12, 10, 9, 8, 2}

Devon {4, 2, 8, 15, 20, 7, 5, 0, 6, 2}

The IQR for Alyssa:

IQR = Q3 - Q1

IQR = 8 - 5 = 3

The IQR for Bryant:

IQR = Q3 - Q1

IQR = 8 - 2 = 6

The IQR for Camila:

IQR = Q3 - Q1

IQR = 10 - 2 = 8

The IQR for Devon:

IQR = Q3 - Q1

IQR = 8 - 2 = 6

Thus, Camila's data set has the greatest interquartile range and the value of IQR = 8 option third is correct.

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Measure the height of the palm tree indirectly using a mirror that is placed on the ground a certain distance away from the tree. The distance from the
mirror to the base of the palm tree is 2.5 m and the distance from the mirror to the person's foot is 0.5 m. The person is 1.78 m tall.

Answers

Answer:

  (b)  8.9 m

Step-by-step explanation:

The mirror ensures that angle 1 is congruent to angle 2, so the triangles in the diagram are similar. The ratios of height to mirror distance are proportional.

__

setup

The height of the object is proportional to its distance from the mirror, so we have ...

  (tree height)/(tree-to-mirror) = (person height)/(person-to-mirror)

  (tree height)/(2.5 m) = (1.78 m)/(0.5 m)

solution

Multiplying this proportion by 2.5 m, we find ...

  tree height = (2.5 m)(1.78/0.5) = 8.9 m

The height of the palm tree is 8.9 meters.

Timothy is 13 5/6 years old. Camden is 1 1/3 years younger than Timothy and Jane is 1 1/4 years younger than Camden. How old is Jane?

Answers

Answer:

Jane is 11 1/4 years old.

Step-by-step explanation:

Subtract all of the numbers given.

[tex]13\frac{5}{6} -1\frac{1}{3} -1\frac{1}{4}[/tex].

To subtract this, we need to find a common denominator.

A common denominator in this situation is 12. To do this multiply the 5 and the 6 of 5/6 by 2. Multiply the 1 and the 3 of 1/3 by 4. And multiply the 1 and the 4 1/4 by 3.

The new expression will look like this:

[tex]13\frac{10}{12} -1\frac{4}{12} -1\frac{3}{12}[/tex].

Now we can subtract.

[tex]13\frac{10}{12} -1\frac{4}{12} -1\frac{3}{12}=11\frac{3}{12}[/tex]

Reduce the answer.

[tex]11\frac{3}{12}=11\frac{1}{4}[/tex]

In decimal form 11.25

Hope this helps!

If not, I am sorry.

Point T is located at (6, –2) and point S is located at (1, 13). What are the coordinates of the point that is `\frac{4}{5}` of the way from T to S?

Answers

The coordinates of the point that is 4/5 of the way from T to S is (2,10)

How to determine the coordinates of the point?

The given parameters are:

T = (6,-2)

S = (1,13)

Location = 4/5

The location 4/5 means

Ratio, m : n = 4 : 1

The coordinate is then calculated as:

[tex](x,y) = \frac{1}{m +n} * (mx_2 + nx_1,my_2 + ny_1)[/tex]

This gives

[tex](x,y) = \frac{1}{4 +1} * (4 * 1 + 1 * 6 , 4 * 13 + 1 * -2)[/tex]

Evaluate

[tex](x,y) = \frac{1}{5} * (10 , 50)[/tex]

This gives

(x,y) =  (2,10)

Hence, the coordinates of the point that is 4/5 of the way from T to S is (2,10)

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Drag each response to the correct location on the table. Each response can be used more than once, but not all responses will be used.
Consider the two exponential equations shown. Identify the attributes for each equation to complete the table.
8.9%
250 89%
W
40 =
Decay
250 (0.89)
Initial Value::
Growth or Decay::
Growth/Decay Rate::
11%
F
40
Growth
250 =
111%
40(1.11)
Initial Value:
Growth or Decay:
Growth/Decay Rate::

Answers

The equation is y = 250(0.89)^x and the decay rate is 11%.

How to calculate the values?

The initial value will be:

= 250(0.89)^x

= 250(0.89^0)

= 250

The decay rate will be:

= 1 - 0.89

= 0.11

= 11%

In conclusion, the equation is y = 250(0.89)^x and the decay rate is 11%.

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William can pack 60 toys in 4 hours. Find the unit rate with which he packs toys.
O14 toys/hour
O13 toys/hour
15 toys/hour
16 toys/hour

Answers

the answe is 16 toys/hour
Answer is 15 toys/ hour
Reason

60 toys. X toys. Divide by 4 = 15
_______. ________
4 hours. 1 hour. Divide by 4 = 1

does someone mind helping me with this question? Thank you!

Answers

Answer:

[tex]\bf -20[/tex]

Step-by-step explanation:

[tex]\bf 2(xy-7)[/tex]  [tex]\bf when[/tex]  [tex]\bf x=-1/y=3[/tex]

Substitute with x and y with 3:-

[tex]\bf 2\left(\left(-1\right)(3)-7\right)[/tex]

First, Multiply -1 and 3 = -3

[tex]\bf 2(-3-7)[/tex]

Subtract  7 from -3 = -10

[tex]\bf 2(-10)[/tex]

Multiply 2 and -10 = -20

[tex]\bf -20[/tex]

______________________

Solution :

2(xy - 7)

2((-1×3) - 7)

2(-3 - 7)

2 × -10

-20

the answer choices is A. x B. z C. w D.y pls help me, I greatly appreciate all the help I'm getting

Answers

The graphed that represents the new function with the same slope and y-intercept is: graph Y.

What is the Slope and Y-intercept of a Function?

Slope = rise/run along a line.

Y-intercept is the y-value of the point on the y-axis that the line intercepts.

Slope of the function given = rise/run = 2/1 = 2

2 multiplied by 1/2 = 2/2 = 1.

Y-intercept of the given function is: 1

1 increased by 3 units is: 1 + 3 = 4

The slope of graph Y = rise/run = 2/2/ = 1

The y-intercept is also 4

Therefore, the answer is: Graph Y

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halp
What is the relationship between \blueD{\angle a}∠astart color #11accd, angle, a, end color #11accd and \greenD{\angle b}∠bstart color #1fab54, angle, b, end color #1fab54?

Answers

Answer:

D. None of the above.

Step-by-step explanation:

Supplementary angles must add up to 180 degrees.

Complementary angles must add up to 90 degrees.

Vertical angles are opposite of each other.

Hope this helps!

If not, I am sorry.

Describe and correct the error in solving the absolute value inequality.

Answers

The steps are shown below: -5<x<1

What is inequality?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

|x +2 | <-3

If we take the module is positive,

x+2 -2 < -3-2

x < -5

If we take the module is negative,

-( x+2)  < -3

-x -2 < -3

-x -2 +2 < -3 +2

-x< -1

x>1

Combining the inequalities,

-5<x<1

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Please help fast!!!
Multiply and reduce to lowest terms. Convert into a mixed number if necessary.


5 x 2/3 =

Answers

Answer: 3 1/3

Step-by-Step Explanation:

= 5 * 2/3
= 5/1 * 2/3
= (5 * 2)/(1 * 3)
=> 10/3
=> 3 1/3

In the diagram below, AB is parallel to Co What is the value of y?

Answers

Answer:

D

Step-by-step explanation:

interior angles = 180

180-72

What is an important similarity between the uniform and normal probability distributions?

Answers

The important similarity between the uniform and normal probability distributions is that the mean and the median of both distributions are equal

How to determine the important similarity?

In a normal probability distribution, we have:

Mean = Median

In a uniform probability distribution, we have:

Mean = Median

This means that:

In both distributions, the mean and the median are equal

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Can I get some help with this please?

Answers

Answer:

c =2.5

Step-by-step explanation

1.5×1.5=2.25

2×2=4

4+2.25=6.25

√6.25=2.5

c=2.5

which expresion is equivalent to the given expresion


(3m-4)³(3m³)

Answers

The equivalent expression of [tex](3m^{-4})^3 * (3m^3)[/tex] is [tex]729m^{-9}[/tex]

How to determine the equivalent expression?

The expression is given as:

[tex](3m^{-4})^3 * (3m^3)[/tex]

Expand the brackets

[tex]27m^{-12} * 27m^3[/tex]

Apply the law of indices

[tex]729m^{-12+3}[/tex]

Evaluate the sum

[tex]729m^{-9}[/tex]

Hence, the equivalent expression of [tex](3m^{-4})^3 * (3m^3)[/tex] is [tex]729m^{-9}[/tex]

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What is m∠C?

Enter your answer in the box.

Answers

Answer:

60

Step-by-step explanation:

Total degree of triangle interior angles is 180

So x+2x+3x=180

6x=180

x=30

Measurement of angle C is 2x which is 60 degree

HELP ME PLEASEEE

Beatrice writes down every expression that appears in this problem set, one after the other, linking them with
+ signs between them. She is left with one very large expression on her page. Is that expression a polynomial expression? That is, is it algebraically equivalent to a polynomial?
What if she wrote - signs between the expressions instead?
What if she wrote × signs between the expressions instead?

Answers

Is that expression a polynomial expression?

yes because they are terms linked into one expression.

What if she wrote - signs between the expressions instead?

it would still be considered a polynomial.

What if she wrote × signs between the expressions instead?

no because it would be one huge term

A piece of copper wire of length 200 m has a diameter of 1.2 mm.
(a) Find the volume of the wire.
(b) If the density of copper is 8.9 g/cm3, find the mass of the wire.

Answers

The volume of the copper wire is 226.080 cm³ and the mass of the wire is 2,012.112 g/cm³.

Given that, the length of copper wire=200 m=200000 mm and the diameter of the copper wire=1.2 mm.

We need to find the volume of the copper wire.

What is the formula to find the volume of the cylinder?

The formula to find the volume of a cylinder is πr²h.

Now, the volume of the copper wire=πr²h=[tex]\frac{22}{7} \times (0.6)^{2} \times 200000=2,26,080[/tex] mm³=226.080 cm³

If the density of copper is 8.9 g/cm³, find the mass of the wire.

We know that [tex]Density=\frac{Mass}{Volume} }[/tex].

⇒8.9 g/cm³=[tex]\frac{Mass}{226.080}[/tex]

⇒Mass=2,012.112 g/cm³

Therefore, the volume of the copper wire is 226.080 cm³ and the mass of the wire is 2,012.112 g/cm³.

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Complete the tasks to subtract the polynomials vertically. (1.3t3 0.4t2 – 24t) – (0.6t2 8 – 18t) what is the additive inverse of the polynomial being subtracted?

Answers

The difference of the polynomials is [tex]1.3t^{3}-0.2t^{2}-6t-8[/tex] and the additive inverse of the polynomial being subtracted is [tex]-0.6t^{2} +8+18t[/tex].

The given polynomials are [tex](1.3t^{3}+0.4t^{2} -24t )[/tex] and [tex]0.6t^{2} +8-18t[/tex].

We need to find the additive inverse of the polynomial being subtracted.

What is additive inverse?

In mathematics, the additive inverse of a number a is the number that, when added to a yields zero. This number is also known as the opposite, sign change, and negation.

Now, [tex](1.3t^{3}+0.4t^{2} -24t )-(0.6t^{2} +8-18t)[/tex]

[tex]=1.3t^{3}+0.4t^{2}-0.6t^{2}-24t+18t-8[/tex]

[tex]=1.3t^{3}-0.2t^{2}-6t-8[/tex]

The additive inverse of the polynomial being subtracted is [tex]-0.6t^{2} +8+18t[/tex].

Therefore, the difference of the polynomials is [tex]1.3t^{3}-0.2t^{2}-6t-8[/tex] and the additive inverse of the polynomial being subtracted is [tex]-0.6t^{2} +8+18t[/tex].

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The function f(x) is shown in this graph.
The function g(x) = -6x + 3.
-5
Compare the slopes and y-intercepts.

Answers

The intercept is (0,3) but bc u don’t say what f(x) is that’s all I can do

Analyze the diagram below and complete the instructions that follow.



Solve for y.


11
21
24
42

Answers

The value of y is 11 if the measure of the angle (x + 6y) is 90 degree and x = 24 option first is correct.

What is a perpendicular line?

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other known as parallel lines.

We have a perpendicular line shown in the picture.

The measure of the angle (4x - 6) is equal to 90 degree.

4x - 6 = 90

4x = 96

x = 24

Similarly, the measure of the angle (x + 6y) is equal to 90 degree:

x + 6y = 90

Plug x = 24

24 + 6y = 90

y = 11

Thus, the value of y is 11 if the measure of the angle (x + 6y) is 90 degree and x = 24 option first is correct.

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what is the angle between a=7i+3j and b=4i-j​

Answers

[tex]a\cdot b=(7)(4)+(3)(-1)=25\\\\|a|=\sqrt{7^{2}+3^{2}}=\sqrt{58}\\\\|b|=\sqrt{4^{2}+(-1)^{2}}=\sqrt{17}\\\\\cos \theta=\frac{25}{\sqrt{58}\sqrt{17}}\\\\\theta=\cos^{-1} \left(\frac{25}{\sqrt{58}\sqrt{17}} \right) \approx 37.235^{\circ}[/tex]

Alex defeated 10 gyms today! She started with four hundred and forty coins and now has five hundred and forty coins

Find the Percent of increase

Answers

The percentage increase is 22.72%

How to determine the percentage increase?

The given parameters are:

Initial = 440 coins

Final = 540 coins

The percentage increase is calculated as:

%Increase = (Final - Initial)/Initial * 100%

So, we have:

%Increase = (540 - 440)/440 * 100%

Evaluate the difference

%Increase = 100/440 * 100%

Evaluate the quotient

%Increase = 0.2272 * 100%

Evaluate the product

%Increase = 22.72%

Hence, the percentage increase is 22.72%

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The median height of 11 footballers is 1.85m.
Only one footballer has a height of 1.85m
How many footballers have a height under 1.85m

Answers

5 footballers because if 1.85 is the median, or the middle number, there has to be five players above that height and 5 players below.

Giving my all points away! What is the Value of log5512, when log 2 = 0.3010 and log 3 = 0.4771?

Answers

[tex]\\ \rm\Rrightarrow log_5512[/tex]

[tex]\\ \rm\Rrightarrow log_52^9[/tex]

[tex]\\ \rm\Rrightarrow 9log_52[/tex]

Use change of base

[tex]\\ \rm\Rrightarrow 9\dfrac{log2}{log5}[/tex]

[tex]\\ \rm\Rrightarrow 3.876[/tex]

If your question is something different let me know by which I can change my answer

Answer:

3.876  (3 d.p.)

Step-by-step explanation:

Given:

[tex]\log_{10}2=0.3010[/tex][tex]\log_{10}3=0.4771[/tex]

Please note:  The question gives two values of log base 10 which should be used to help find the value of [tex]\log_5512[/tex]

Log Law:  Change of Base

[tex]\log_ba=\dfrac{\log_xa}{\log_xb}[/tex]

Change the given expression to log base 10:

[tex]\implies \log_5512=\dfrac{\log_{10}512}{\log_{10}5}[/tex]

Replace 512 with 2⁹, and 5 with 10/2:

[tex]\implies \dfrac{\log_{10}{2^9}}{\log_{10}\frac{10}{2}}[/tex]

[tex]\textsf{Apply the Power Log law}: \quad \log_ax^n=n\log_ax[/tex]

[tex]\implies \dfrac{9\log_{10}{2}}{\log_{10}\frac{10}{2}}[/tex]

[tex]\textsf{Apply the Log Quotient law}: \quad \log_a\frac{x}{y}=\log_ax - \log_ay[/tex]

[tex]\implies \dfrac{9\log_{10}{2}}{\log_{10}10-\log_{10}2}[/tex]

[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]

[tex]\implies \dfrac{9\log_{10}{2}}{1-\log_{10}2}[/tex]

Given:

[tex]\log_{10}2=0.3010[/tex]

Substitute this into the expression and simplify:

[tex]\implies \dfrac{9(0.3010)}{1-0.3010}[/tex]

[tex]\implies \dfrac{2.709}{0.699}[/tex]

[tex]\implies 3.876\:(\sf 3\: d.p.)[/tex]

Find the greatest common factor of these two expressions.
28y^7x^2 and 8y^8v^4x^6

Answers

Answer:

4y⁷x²

Step-by-step explanation:

Finding GCF:

    Prime factorize each expression.

28y⁷x² = 2 * 2 * 7 * y⁷ * x²

8y⁸v⁴x⁶ = 2 * 2 * 2 * y⁸ * v⁴ * x⁶

GCF = 2 * 2 *y⁷*x²

        = 4y⁷x²

x= help me please thank u :)​

Answers

Step-by-step explanation:

the product of segments theorem :

products of segments of intersecting chords are equal.

the 2 chords helping us are

the "4 + 25" chord.

the "x + x" chord (that connects then outwards to the 20 segment).

so, based on that theorem

4 × 25 = x × x

100 = x²

x = sqrt(100) = 10

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