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NemiM [27]
3 years ago
5

6.2.24

Mathematics
1 answer:
Rudik [331]3 years ago
7 0

Answer:

TU = 8.4

Step-by-step explanation:

The geometric figure consists of the following segments;

1) 4 parallel lines, WS, YR, XQ, and, VP

2) Three transversals, VW, PS, and, TU

The given parameters are;

PQ = QR = RS

Therefore, given that the transversal, PS, makes equal intercept with the 4 given parallel lines, by equal intercept theorem, the transversal TU will make equal intercepts with the given parallel lines

Therefore;

TX = 2.8 = XZ = ZU

From which we have, by segment addition postulate;

TU = TX + XZ + ZU

∴ TU = 2.8 + 2.8 + 2.8 = 8.4

TU = 8.4.

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What is the value of log 43? Use the calculator. Round your answer to the nearest tenth
Orlov [11]

Answer:

1.6

Step-by-step explanation:

The value of log 43 to the nearest tenth is <em>1</em><em>.</em><em>6</em>

3 0
3 years ago
Read 2 more answers
Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.
Aliun [14]

Answer:

Part 1) c=21.9\ units

Part 2) B=61.1\°

Part 3) A=28.9\°

Part 4) C=90\°

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

substitute the given values

c^{2}=10.6^{2}+19.2^{2}

c^{2}=481

c=21.9\ units

step 2

Fin the measure of angle B

we know that

In the right triangle

tan(B)=b/a

substitute the given values

tan(B)=19.2/10.6

B=arctan(19.2/10.6)=61.1\°

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

so

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

B=61.1\°

C=90\°

substitute

A+61.1\°+90\°=180\°

A=28.9\°

4 0
3 years ago
What is the best measure of center for this data set?
jenyasd209 [6]
I believe the answer to your question is b.
3 0
2 years ago
A spinner is divided into four equal sections that are numbered 2, 4, 7, and 9. The spinner is spun twice.How many outcomes have
shusha [124]

The spinner is divided into four equal sections: 2, 4, 7, 9. This represents 4 possibilities

If the spinner is spun twice, the sample space is:

\text{Sample space = 4}^2\text{ = 16}

For product less than 30, the number of outcomes is shown below:

The number of outcomes that have a product less than 30 = 10

The sample space that shows possibilities of an odd number combination:

The number of outcomes that contains at least one odd number = 12

The number of outcomes that have a product less than 30 and contain at least one odd number is shown below. These outcomes are outcomes circled in both cases shown above,

The outcomes circled represents the number of outcomes that has a product less than 30 and contains at least one odd number

Answer: 6 (option B)

7 0
1 year ago
Is this correct? if not what is the answer
LenaWriter [7]

Answer:

x = 50

Step-by-step explanation:

You are correct.

x + m<PQS + m<PSQ = 180

m<PQS = m<QRT = 70

m<QST + m<PSQ = 180

120 + m<PSQ = 180

m<PSQ = 60

x + 70 + 60 = 180

x + 130 = 180

x = 50

Great job!

4 0
3 years ago
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