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2 years ago

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Helppppp! Angles PTQ and STR are vertical angles and congruent. Circle T is shown. Line segments T P, T Q, T R, and T S are radi

i. Lines are drawn to connect the points on the circle and form secants P Q, Q R, R S, and S P. Angles P T Q and S T R are congruent. Which chords are congruent? QP and SR QR and PR and RS PR and PS

2 answers:

cestrela7 [59]2 years ago

6 0

Answer:

$\overline{QP} = \overline{SR}$

Step-by-step explanation:

Given: ∠PTQ ≅ ∠STR and TP, TQ, TR and TS are radii of the circle.

If two angle are equal, then they are equal in size and their measurements are equal.

IF ∠PTQ ≅ ∠STR then they are also equal in their measurements.

Now, In ΔPTQ and ΔSTR

∠PTQ ≅ ∠STR (vertically opposite angle)

$\overline{TQ} \cong \overline{ST}$ (Radius of the circle are equal and congruent in length)

$\overline{PT} \cong \overline{TR}$ (Radius of the circle)

∴ ΔPTQ ≅ ΔSTR (SAS postulate)

∴ $\overline{QP}\cong \overline{SR}$ (corresponding sides of congruent triangle are equal and congruent).

kotykmax [81]2 years ago

5 0

Answer:

QP=SR

Step-by-step explanation:

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What is the length of XZ

Artemon [7]

Answer:

$XZ=13\ units$

Step-by-step explanation:

we know that

In the right triangle of the figure XYZ

Applying the Pythagorean Theorem

$XZ^2=XY^2+YZ^2$

substitute the given values

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$XZ^2=144+25$

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2 years ago

There are 130 m&m's in a bag. there are half as many green as red. the number of blue is equal to the number of red and gree

AleksandrR [38]

Let x = red
Let 0.5x = green
Let (x) + (0.5x) = 1.5x = blue
Let 0.5(1.5x) = 0.75x = yellow
Let 0.75x + 4 = brown

$(x) + (0.5x) + (1.5x) + (0.75x) + (0.75 + 4) = 130$
$x + 0.5x+ 1.5x + 0.75x + 0.75 + 4 = 130$
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$4.5x = 126$
$x = 28$

Use this value to calculate the other required numbers.
red = 28
green = 0.5x = 0.5(28) = 14
blue = 1.5x = 1.5(28) = 42
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8 0

2 years ago

Someone help me on this question..

inna [77]

Answer:

CD= 9

Step-by-step explanation:

AD and CD are the same length. The length of AD is 9. So the length of CD will also be 9. I hope that helps.

4 0

2 years ago

In a triathlon , Jenny swam for 1 hour , biked for 1.75 hours , and ran for 1 hour. Her average biking speed was 2 times her ave

Naddika [18.5K]

Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.

<h3>Speed</h3>

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let a represent the average swimming speed, b the average biking speed and c the average running speed.

Her average biking speed was 2 times her average running speed, hence:

b = 2c (1)

Her average running speed was 8 times her average swimming speed. Hence:

c = 8a (2)

Total distance of the triathlon was 55.5 kilometers. Hence:

a * 1 hour + b * 1.75 hour + c * 1 hour = 55.5 (3)

From equation 1, 2 and 3:

a = 2.5, b = 24, c = 12

Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.

Find out more on speed at: brainly.com/question/6504879

3 0

2 years ago

The class average on a math test was an 82 with a standard deviation of 5. If the

Alex787 [66]

Answer:

Option 3 and 4.

Step-by-step explanation:

The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

$z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation$

Given that mean (μ) = 82, standard deviation (σ) = 5

1) For x = 74:

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{74-82}{5} =-1.6$

Option 1 is incorrect

2) For x < 87

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{87-82}{5} =1$

From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%

Option 2 is incorrect

3) For x = 95:

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{95-82}{5} =2.6$

Option 3 is correct

4) For x < 77

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{77-82}{5} =-1$

From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%

Option 4 is correct

5) For x > 92

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{92-82}{5} =2$

From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%

Option 5 is incorrect

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2 years ago