Which shows one way the equation can be represented in words?

Ahat [919]

Answer: x = 22

Explanation:

1) Corresponding sides and correspoding angles of congruent triangles are equal.

2) When you name two congruent triangles the order of the vertices signal which sides and angles are congruents.

That triangle ABC is congruent to triangle DEF means that these are the corresponding parts, which are congruent to each other:

∠A and ∠D are congruent
∠B and ∠ E are congruent
∠C and ∠F are congruent
Segment AB and segment DE are congruent
Segment BC and segment EF are congruent
Segment AC and segment DF are congruent

In the figures, it is given that the segment DF measures (1/2)x - 1 and the corresponding segment AC measures 10 units.

Hence, you set this equation: (1/2)x - 1 = 10

Solving for x:

(1/2)x = 10 + 1
(1/2)x = 11
x = 2(11)
x = 22 ← answer

5 0

3 years ago

Please help with geometry. 20 points, and another question worth 98 on my profile!

vovikov84 [41]

Answer:

Part 1) m∠1 =(1/2)[arc SP+arc QR]

Part 2) $PR^{2} =PS*PT$

Part 3) PQ=PR

Part 4) m∠QPT=(1/2)[arc QT-arc QS]

Step-by-step explanation:

Part 1)

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

we have

m∠1 -----> is the inner angle

The arcs that comprise it and its opposite are arc SP and arc QR

so

m∠1 =(1/2)[arc SP+arc QR]

Part 2)

we know that

The <u>Intersecting Secant-Tangent Theorem,</u> states that the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

so

In this problem we have that

$PR^{2} =PS*PT$

Part 3)

we know that

The <u>Tangent-Tangent Theorem</u> states that if from one external point, two tangents are drawn to a circle then they have equal tangent segments

so

In this problem

PQ=PR

Part 4)

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

In this problem

m∠QPT -----> is the outer angle

The arcs that it encompasses are arc QT and arc QS

therefore

m∠QPT=(1/2)[arc QT-arc QS]

4 0

3 years ago

How does multiplying both the dividend and the divisor by a factor of 10 sometimes make a problem easier to solve?

Mandarinka [93]

Because the divider and dividend are actually smaller then factors

5 0

3 years ago

The distance between Dallas and Fort Worth on a map is 7.5 centimeters. The map uses a scale in which 1 centimeters represents 3

anyanavicka [17]

Hi There

To find the distance, you have to make them proportional to each other.

1 cent. / 30 kilo. = 7.5 cent. / x

Then you cross multiply.

30 x 7.5 = x

225 = x

The distance between the two cities is 225 kilometers.

Hope that helps:)

Read more on Brainly.com - brainly.com/question/11599824#readmore

6 0

3 years ago

31. Each day, Talisa exercises by first

GaryK [48]

Answer:

Step-by-step explanation:

Given the following :

Laps - - - - - - - - 5 - - - 6 - - - 7 - - - 8 - - - 9

Total time - - - 25 - - 28 - - 29 - - 30 - - 32

Using online graphing tool:

The y - axis named dependent variable represents the total time taken.

The x-axis, represents the number of laps.

The equation of the trend line attached to the plot is in the form :

y = mx + c

y = 1.6x + 17.6

Where y = total time taken

x = number of laps

m = 1.6 = gradient of the line (change in y / change in x)

C = 17.6 = intercept (whee the trndline intersects the y-axis).

5 0

4 years ago