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salantis [7]
3 years ago
6

What is the value of x? Enter your answer in the box. x =____cm

Mathematics
2 answers:
MrRa [10]3 years ago
6 0

Answer:

x = 5 cm

Step-by-step explanation:

We can use proportions of similar triangles.  Put the side of the small triangle over the same side of the large triangle

x                 4

---------- = -----------

40                  32

Using cross products

32x = 4*40

32x = 160

Divide by 32

32x/32 = 160/32

x=5

Scorpion4ik [409]3 years ago
6 0

Answer:

x=5cm

Step-by-step explanation:

40/x=32/4

cross multiply

32x=160

divide by 32 on bothi sides

32x/32=160/32

x=5

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Fine the 25th term of an arithmetic progression 12,16,20,24,<br>​
GuDViN [60]

Answer:

108

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 16 - 12 = 4, thus

a_{25} = 12 + (24 × 4) = 12 + 96 = 108

6 0
3 years ago
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Which triangle is a rotation of triangle 3?<br><br><br><br> Δ1<br> Δ2<br> Δ3<br> Δ4
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1

Step-by-step explanation:

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2 years ago
Angle A and B are supplementary. Angle A has a measure of 5x+10. Angle B has a measure of 70. What is the value of x?
umka21 [38]

Answer:

34

Step-by-step explanation:

5x+10=180

5x=170

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7 0
3 years ago
A rectanglelar field has an area of 2100 square feet. The length of the field is 50 feet​
Setler [38]

Answer: 42 feet

Step-by-step explanation:

P-area of field

P=2100sqf

a-length of field

a=50 feet

P=a*b

2100sqf=50*b

b=2100/50

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5 0
3 years ago
Consider △ABC. Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 13, the length of B C is 1
bija089 [108]

Answer:

<em>22.62°</em>

Step-by-step explanation:

Considering △ABC.  If angle B C A is a right angle, then;

m<BCA = 90 degrees

Given also

AB = 13

BC = 12

AC = 5.

According to SOH, CAH TOA;

Sin <B = AC/AB

Cos <B = BC/AB

Substitute the given values

Sin B = 5/13

B = arcsin(5/13)

B = 22.62

Cos B = 12/13

B = arccos (12/13)

B =22.62

<em>Hence the angles that make sinB = cosB is 22.62°</em>

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3 years ago
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