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Mumz [18]
3 years ago
9

Work out the size of angle x.

Mathematics
2 answers:
Alexeev081 [22]3 years ago
8 0
Answer:
13

Explanation:
85 is vertical
98 vertical
180 - 98 = 82
82 vertical
85 + 82 = 167
180 - 167 = 13
Angelina_Jolie [31]3 years ago
7 0

Answer:

13 degrees.

Step-by-step explanation:

First we calculate the other 2 angles of the triangle of which < x is a part.

The bottom angle = 85 (vertical angles are equal).

The top one  = 180 - 98 = 82. ( corresponding and adjacent angles).

So angle x = 180 - (85 + 82).

= 180 - 167

= 13 degrees.

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Find the exact value of sin A in simplest radical form. ​
kondor19780726 [428]

Answer:

✓10/10

Step-by-step explanation:

sinA = 1/✓10

Rationalize the denominator by multiplying by ✓10:

sinA = 1✓10/✓10✓10

sinA = ✓10/10

3 0
3 years ago
A bicycle shop sells only bicycles and tricycles. Altogther there are 23 seats and 50 wheels. How many bicycles and tricycles ar
slamgirl [31]

Answer:

The number of bicycles is 19.

and the number of tricycles is 4.

Step-by-step explanation:

As we know that the number of seats in bicycles as well as in tricycles is 1.

The number of wheels in bicycles is 2

and the number of wheels in tricycles is 3.

Let the number of bicycles be x.

and the number of tricycles be y.

Thus using the given information we can make equation as,

x + y = 23

and, 2x + 3y = 50

Solving these two equations:

We get, x = 19 and y = 4

Thus the number of bicycles is 19.

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8 0
3 years ago
Why are corresponding exterior angles of similar triangles congruent?
Ivenika [448]

Answer:

In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling (enlarging or reducing), possibly with additional translation, rotation and reflection. This means that either object can be rescaled, repositioned, and reflected, so as to coincide precisely with the other object. If two objects are similar, each is congruent to the result of a particular uniform scaling of the other.

Step-by-step explanation:

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7 0
3 years ago
a population of insects doubles every month. If there are 100 insects to start with, how many will there be in 7 month
krok68 [10]
If at the end of every month the population dubbuls then at the end of 7 month there will be 12,800 

month1)200

month2)400

month3) 800

month4) 1600

month5) 3200

month6) 6400

month7)12800
6 0
3 years ago
​Can u guys please give me the correct answer​​
Andre45 [30]

Answer:

∠ 3 = 65°

Step-by-step explanation:

∠ 2 and 115° are a linear pair and sum to 180° , that is

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∠ 2 and ∠ 3 are corresponding angles and and are congruent , then

∠ 3 = 65°

6 0
2 years ago
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