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Ket [755]
3 years ago
15

Bonnie purchased a 30 ounce package of chocalte chunk cookies for $2.40.What is the cost per ounce

Mathematics
1 answer:
Sladkaya [172]3 years ago
8 0
.08 cents per ounce, because 2.40 ÷30 =.08
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∆RED ≅ ∆_______ <br><br> By rule _________<br><br>Will Give Brainiest if Possible
Licemer1 [7]
These triangles are not congruent. They only have 2 sides and one angle in common, and that is not a congruency theorem.
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3 years ago
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Raju bought seven notebooks of two hundred pages and five of hundred pages, for 107 rupees. Joseph bought five notebooks of two
olga nikolaevna [1]

Answer:

Large books = 11

Small books = 6

Step-by-step explanation:

7x + 5y = 107

7x = 107 - 5y

x = 107/7 - 5y/7

5x + 7y = 97

5 (107/7 - 5y/7) + 7y = 97

535/7 - 25y/7 + 7y = 97

535/7 + 24y/7 = 97

535 + 24y = 679

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y = 144/24 = 6: So x =

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8 0
3 years ago
What is the same about these polygons
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They are all quadrilaterals <span />
6 0
3 years ago
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What is equivalent to -2i(6-7i)
borishaifa [10]

Answer:

-14 - 12i

Step-by-step explanation:

Apply complex arithmetic rule: (ai)(b + ci) = -ac + abi

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-( -2(-7) + 2*6i )

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5 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
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