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3 years ago

4x - 6 = 30 can you solve it

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

6 0

Answer:

x = 9

Step-by-step explanation:

take -6 to the other side so you add it to 30 = 36

equation is now 4x = 36

divide 4/4 and 36/4

x = 9

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In circle P, EG and FH are diameters. What is m EH?

zvonat [6]

Answer:

$m(\widehat{EH})$ = 130°

Step-by-step explanation:

Angles subtended at the center by the arcs $(\widehat{HG})$ and $(\widehat{EF})$ are ∠HPG and ∠EPF.

Since these angles are the vertical angles both will be equal.

m∠HPG ≅ m∠EPF

3x - 10 = 2x + 10

3x - 2x = 10 + 10

x = 20

Therefore, $m(\widehat{HG})=(3\times 20) - 10$

= 50°

Similarly $m(\widehat{EF})$ = 50°

In the same way angles subtended at the center will be equal.

m∠EPH ≅ m∠FPG

and $m(\widehat{EH})=m(\widehat{FG})$

Since $m(\widehat{EH})+m(\widehat{FG})+m(\widehat{EF})+m(\widehat{HG})=360$ °

$m(\widehat{EH})+m(\widehat{EH})+50+50=360$

$2m(\widehat{EH})=360-100$

$m(\widehat{EH})=130$

Therefore, measure of arc EH = 130°

3 0

3 years ago

1. One rule of thumb for estimating crowds is that each person occupies 2.5 square feet. Use this value to

givi [52]

Answer:

216 people

Step-by-step explanation:

Given:

2.5 feet² is occupied by 1 person

Dimension of room = 216 in × 360 in

Required:

No. of people that would occupy the room

SOLUTION:

Step 1:

Convert the dimensions of the room from in to ft

Note: 1 foot = 12 inches

216 inches = $\frac{216}{12} = 18 ft$

360 inches = $\frac{360}{12} = 30 ft$

Step 2: calculate area of the room.

Area of the room = 30*18 = 540 ft²

Step 3: calculate the no. of people the room will contain.

2.5 ft² will contain one person

Therefore, 540 ft² will contain: $\frac{540}{2.5} = 216 people$

6 0

3 years ago

8 is 20% of what number

Margarita [4]

20% of 40 is 8. so 40

3 0

3 years ago

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jack wants to paint his walls. two walls are 12 ft by 8 ft and two walls are 10 ft by 8 ft. what is the area to be painted? if o

Ksivusya [100]

Answer:

352 ft (squared) , he will need 12 paint cans

Step-by-step explanation:

Two 12 by 8ft walls = 192 ft in area, Two 10 by 8ft walls = 160 ft in Area, that equals 352 ft total, 352/30=11.73 repeated, round up to 12

4 0

2 years ago

How can you use the properties of operations to evaluate this expression? 18 + 4(28)

pentagon [3]

Answer:

first open the bracket by multiplying 28 by 4 which is equal to 112, then add it to 18 which be equal to 130 which is the final answer

5 0

3 years ago

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