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lianna [129]
3 years ago
7

The diagram shows a pentagon. It has one line of symmetry.

Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

Answer:

A) 10x + 8 = 21

B) x = 1.3

Step-by-step explanation:

2(2x + 3) + 2(x + 1) + 4x = 21

4x + 6 + 2x + 2 + 4x = 21

10x + 8 = 21

10x = 13

x = 1.3 cm

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A motel rents double rooms at $34 per day and single rooms at $27 per day. If 26 rooms were rented one day for a total of $807,
torisob [31]

Let, number of double rooms and single rooms are d and s.

d + s = 26     ....1 )

Hotel rents double rooms at $34 per day and single rooms at $27 per day.

34d + 27s = 807   ....2)

Solving equation 1 and 2, we get :

34( 26 - s ) + 27s = 807

884 - 34s + 27s = 807

7s = 77

s = 11

And d = 26 - 11 = 15

Therefore, number of double rooms and single rooms are 15 and 11.

Hence, this is the required solution.

4 0
3 years ago
22. MULTIPLE CHOICE What number is 0.02% of 50? (Skills Review Handbook) (A) 0.01 (B) 0.1 (C) 1 (D) 100
emmainna [20.7K]

Answer:

x = 1

Then the answer is C

Step-by-step explanation:

1) Set a linear equation

\frac{2}{100}  =  \frac{x}{50}

2) Cross multiply

100x = 2 \times 50

3) Multiple the right side

100x = 100

4) Divide both side by 2

\frac{100x}{100}  =  \frac{100}{100}

5) Solving the linear equation

x = 1

The answer is (C)

7 0
2 years ago
I need help fast plzzzzz
PolarNik [594]

Answer:

68

Step-by-step explanation:

Find the vanilla first by dividing 420 by 7 and multiplying the quotient by 2 to get 120.

Then find the banana using the equation 35/100 = x/420, cross multiply to get 147.

Add 120 and 147 to get 267.

Subtract 267 from 420 to get 153.

Divide 153 by 9 to get 17.

Get the number of lemon cakes by multiplying 17 by 4.

The number of lemon cakes is 68!

(and chocolate cakes is 85)

4 0
3 years ago
If θ is an angle in standard position whose terminal side passes through (3, 4), evaluate tan(1/2)θ.
aleksandr82 [10.1K]

The tangent half angle formula, one of several, is

\tan \dfrac a 2 = \dfrac{1 - \cos a}{\sin a}

We have θ is opposite 4 in the 3/4/5 right triangle so

\cos \theta = \dfrac{3}{5}

\sin \theta = \dfrac{4}{5}

\tan \dfrac{\theta}{2} = \dfrac{1 - 3/5}{4/5} = \dfrac{5-3}{4}=\dfrac{1}{2}

Answer: 1/2

This is actually pretty deep.  It says half the big acute angle in the 3/4/5 triangle is the small diagonal angle of the 1x2 rectangle.   Similarly, the small acute angle in 3/4/5 triangle is twice the small diagonal angle of the 1x3 rectangle.

7 0
3 years ago
1.A function is ________ a relation.
dlinn [17]
Q 1. option A......
Q 2. option B....
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