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faltersainse [42]
2 years ago
14

Helloo!!! please help me on this !!!!

Mathematics
1 answer:
ivann1987 [24]2 years ago
7 0

It is given that ️PQR & ️UVW are congruent to each other. According to CPCT, the corresponding angles in 2 triangles willl have the same measure. So, ∠R = ∠W, i.e, (10x - 18)° = 8x°

\mathfrak{10x - 18 = 8x}

\mathfrak{10x - 8x = 18}

\mathfrak{2x = 18}

\mathfrak{x = \dfrac{18}{2}}

\underline{\mathfrak{x = 9}}

Measure of ∠R :

\mathfrak{8x}

\mathfrak{8(9)}

\boxed{\mathfrak{72^{\circ}}}

 ღ ꪑ꠸᥅ꫀꪊ

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Who can help me?<br>please<br>Thank you​
4vir4ik [10]

The sum of the interior triangles in a triangle is 180, so if we add all the angle measures together, we should get 180. Therefore, we can make an equation like this,

110-2x+x+50+5x-40=180

Simplify this.

4x+120=180

4x=60

x=15

Now we can find each angle measure.

110-2x

110-2(15)

110-30

80

x+50

15+50

65

5x-40

5(15)-40

75-40

35

So the angle labeled 110-2x is the largest angle in the triangle.

7 0
3 years ago
Read 2 more answers
Consider two independent tosses of a fair coin. Let A be the event that the first toss results in heads, let B be the event that
aliina [53]

Answer with Step-by-step explanation:

We are given that two independent tosses of a fair coin.

Sample space={HH,HT,TH,TT}

We have to find that A, B and C are pairwise independent.

According to question

A={HH,HT}

B={HH,TH}

C={TT,HH}

A\cap B={HH}

B\cap C={HH}

A\cap C={HH}

P(E)=\frac{number\;of\;favorable\;cases}{total\;number\;of\;cases}

Using the formula

Then, we get

Total number of cases=4

Number of favorable cases to event A=2

P(A)=\frac{2}{4}=\frac{1}{2}

Number of favorable cases to event B=2

Number of favorable cases to event C=2

P(B)=\frac{2}{4}=\frac{1}{2}

P(C)=\frac{2}{4}=\frac{1}{2}

If the two events A and B are independent then

P(A)\cdot P(B)=P(A\cap B)

P(A\cap)=\frac{1}{4}

P(B\cap C)=\frac{1}{4}

P(A\cap C)=\frac{1}{4}

P(A)\cdot P(B)=\frac{1}{2}\cdot \frac{1}{2}=\frac{1}{4}

P(B)\cdot P(C)=\frac{1}{4}

P(A)\cdot P(C)=\frac{1}{4}

P(A)\cdot P(B)=P(A\cap B)

Therefore, A and B are independent

P(B)\cdot P(C)=P(B\cap C)

Therefore, B and C are independent

P(A\cap C)=P(A)\cdot P(C)

Therefore, A and C are independent.

Hence, A, B and C are pairwise independent.

6 0
3 years ago
What is the minimum angle of rotational symmetry for the quadrilateral shown below?
Liula [17]

Answer:

360

Step-by-step explanation:

bc it is

3 0
3 years ago
The area is 24 what are the possible dimensions l×w
taurus [48]
Hey there I see you need help well that's why I am here for a square the one side could be 6 or for a rectangle the l vould be 6 and the W could be 4 or 8 and 3 or lastly 12 and 2 hope this helps
5 0
4 years ago
Read 2 more answers
Please help me fast
Sveta_85 [38]

Answer:

1.187991

Step-by-step explanation:

sin^2(225)−(cos(330))(cos(240))

=(−0.930095)2−(cos(330))(cos(240))

=0.865076−(cos(330))(cos(240))

=0.865076−−0.991199(cos(240))

=0.865076−(−0.991199)(0.325781)

=0.865076−(−0.322914)

=1.187991

8 0
2 years ago
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