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3 years ago

Are the triangles similar?

Mathematics

1 answer:

SpyIntel [72]3 years ago

6 0

Answer:

Yes.

Step-by-step explanation:

The angles of the triangles add up to be 180. 180 - 114 - 31 = 35. 180-114-35 = 31. Since the angles of the triangles correspond and are congruent, the triangles are similar, with PQR corresponding to TUS.

Hope this helps !

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1. Exercise 18, section 3.1. Let D be the set of all students at your school and let M(s) be "s is a math major", let C(s) be "s

quester [9]

Answer:

∀s ∈ D, C(s) - - - > E(s)

∀s ∈ D, C(s) - - - > ~ E(s)

∃s ∈ D such that M(s) ∧ C(s)

Step-by-step explanation:

D = set of all students

M(s) = s math major

C(s) = s Computer science major

E(s) = s Engineering major

Expressing the following using quantifies variables and predicates :

A.) Every computer science student is an engineering student

∀s ∈ D, C(s) - - - > E(s)

b. No computer science students are engineering students

∀s ∈ D, C(s) - - - > ~ E(s)

c. Some computer science students are also math majors

∃s ∈ D such that M(s) ∧ C(s)

∃s = Existential Domain

∀s = universal

∧ = connective and

~ = not

∈ = belongs to

3 0

3 years ago

What’s the angle of cda

Anastaziya [24]

Answer:

∠ CDA = 32.3°

Step-by-step explanation:

See the given figure attached to this answer.

Draw perpendiculars from B and C on AD which is BE and CF.

Now, Δ ABE is a right triangle and AE² = AB² - BE² = 7.5² - 6² = 20.25

⇒ AE = 4.5 cm

Now, DF = AD - EF - AE = 24 - 10 - 4.5 = 9.5 cm {Since BC = EF}

And CF = BE = 6 cm.

Now, Δ CFD is a right triangle and

$\tan \beta =\frac{CF}{FD} = \frac{6}{9.5} = 0.6315$ {Where β = ∠ CDA}

⇒ $\beta = \tan^{-1} (0.6315)=32.27$ Degree.

So, ∠ CDA = 32.3° {Correct to one decimal place} (Answer)

8 0

3 years ago

A parallelogram with sides of 6 and 10 has an area of 30. Find the measure of the small angle of the parallelogram.

dmitriy555 [2]

<span>A = 2 * (0.5ab) + b (10 - a) = ab + 10b - ab = 10b

10b = 30√2; b = 3√2

sin α = 3√2 / 6; α = 45 degrees

Small angle: 45°; Large angle: 135°</span><span>
</span>

4 0

4 years ago

Suppose the contestants were asked to make two batches of their recipes instead of one batch. Would the value for the amount of

kirill [66]

Answer:

yes

Step-by-step explanation:

If all contributors to the distribution are doubled, the value of any particular item in the distribution will be double what it was. That is, it will be different.

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3 years ago

Ms. White measured the number of the ounces of juice left behind by 3 students after breakfast. She plotted the data on the line

xxMikexx [17]

Answer: 7 3/4

Step-by-step explanation:

3 1/4 + 4 2/4 = 7 3/4

7 0

3 years ago

Are the triangles similar? ​

Are the triangles similar?