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igomit [66]
3 years ago
15

1.

Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0
Point slope and it would be y=2x-5
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Suppose you bought supplies. Three rolls of streamers and 15 party hats cost $30. Later, you bought 2 rolls of streamers ad 4 pa
Zolol [24]
Since 30÷15 is 2 you now know each party hat is 2 dollars. Now we know that and we can easily find out how much a roll of streamer is. 11-(4x2)=3. 3÷2=1.5. One roll of streamer is $1.50 and one party hat is $2. I'm pretty sure I did this right lol I hope it helps
6 0
3 years ago
Given: Tangents LA and LB, m∠AOB=110°. Find: m∠ALO.
Yuri [45]

Answer:

The measure of angle ALO = 35°

Step-by-step explanation:

* Lets talk about the tangents to a circle drawn from a point

 outside the circle:

- They are equal in length

- They are perpendicular to the radii at the point of tang-ency

- If we join the points of tang-ency withe the center of the circle

 and join the outside point with center of the circle, we

 formed two congruent triangles

* Now lets check our problem

- AL and LB are two tangents to the circle O ant points A and B

∴ LA = LB ⇒ (1)

- OA and OB are radii in circle O

∴ OA = OB ⇒ (2)

∴ OA ⊥ AL and OB ⊥ BL ⇒ radius and tangent

∴ m∠OAL = 90° , m∠OBL = 90

∴ m∠OAL = m∠OBL ⇒ (3)

* From (1) , (2) , (3)

- The two triangles LAO and LBO are congruent ⇒ SAS

- SAS is one case of congruence

∵ The lengths of two sides and the measure of the including

  angle between them in one triangle equal to the

  corresponding sides and angles in the second triangle,

  then the two triangles are congruent

∴ m∠LOA = m∠LOB

∵ m∠AOB = 110°

∴ m∠LOA = m∠LOB = 110/2 = 55°

* In ΔLAO

∵ m∠ LAO = 90° , m∠LOA = 55°

∴ m∠ALO = 180 - (90 + 55) = 180 - 145 = 35°

* The measure of angle ALO = 35°

8 0
3 years ago
Jennifer is saving money to buy a bike. The bike costs $245. She has $125 saved, and each week she adds $15 to her saving. How l
evablogger [386]

it will take 8 weeks.

125+15x= 245

<u>-125 -125</u>

15x= 120

15x/15= 120/15

x= 8

6 0
3 years ago
What is h(x)=|3x|-1 ? x=7. Insert 7 for x. Thanks!!
tiny-mole [99]

Answer: 20

<u>Step-by-step explanation:</u>

h(x) = |3x| - 1

h(7) = |3(7)| - 1

      = |21| - 1

      =  21  - 1

      = 20

3 0
3 years ago
What is the surface area of the square pyramid?<br> (Figure is not drawn to scale.)
Reil [10]
Area of the base = 8^2 = 64

area of 1 traingle = 1/2 * 8 * 5.4 =  21.6

there are 4 triangular sides  so their area = 4 * 21.6  = 86.4

Total surface area = 64 + 86.4 =  150.4 cm2

D
6 0
3 years ago
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