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JulijaS [17]
3 years ago
15

What is the product of 3.5 ⋅ 102 and 2.4 ⋅ 103? 5.9 ⋅ 105 8.4 ⋅ 105 5.9 ⋅ 106 8.4 ⋅ 106

Mathematics
1 answer:
hjlf3 years ago
4 0
357.0 , 247.2 , 619.5 , 855.0 ,619.5 , 625.4 , 850.4
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Step-by-step explanation:

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Josephine has a great garden with and area of 2x2 + x - 6 square feet
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3 years ago
triangle efg is similar to triangle tuv as shown below based on the measurements of the triangles what is the measurement of ang
Helen [10]

Incomplete Question the Complete Question with figure is below.

Answer:

The correct option is C . 48°

Therefore,

measure angle U is 48°.

Step-by-step explanation:

Given:

ΔEFG ~ ΔTUV

∠ F = 48°

To Find:

measure angle U = ?

Solution:

When the two Triangles are Similar then their Vertices are correspondence to each other. the correspondence of vertices are as

For, ΔEFG ~ ΔTUV  

E ↔ T

F ↔ U

G ↔ V

Also Corresponding angles of Similar Triangles are Congruent.

Therefore

∠F ≅ ∠U       Corresponding angles of Similar Triangles are Congruent.

But ∠ F = 48°     ......Given

∴ ∠U = 48°        ...........Transitive Property

Therefore,

measure angle U is 48°.

6 0
3 years ago
Given: KLMN is a parallelogram, LF is perpendicular to KN, LD is perpendicular to NM, angle FLD = 35. Find angles of KLMN
Kisachek [45]

The question is four parts, It is required the angles of parallelogram KLMN

So, It is required ⇒ ∠K  , ∠L  , ∠M  and ∠N

See the attached figure which represents the explanation of the problem

========================

Part (1): Find  ∠N:

==============

in the shape FLDN

∵ LF ⊥ KN  ⇒⇒⇒ ∴ ∠LFN = 90°

∵ LD ⊥ NM ⇒⇒⇒ ∴ ∠LDN = 90°

∵ The sum of all angels of FLDN = 360°

∵ ∠FLD = 35°

∴ ∠FLD + ∠LDN + ∠DNF + ∠LFN = 360°

∴ 35° + 90° + ∠DNF + 90° = 360°

∴ ∠DNF = 360° - ( 90° + 90° + 35°) = 360° - 215° = 145°

∴ The measure of angle N = 145°

=============================

Part (2): Find  ∠M:

==============

∵ KLMN is parallelogram , ∠N = 145°

∴ The angles N and M are supplementary angles ⇒ property of the parallelogram

∴ ∠M + ∠N = 180°

∴ ∠M = 180° - ∠N = 180° - 145° = 35°

∴ The measure of angle M = 35°

================================

Part (3): Find  ∠L:

==============

∵ KLMN is parallelogram , ∠M = 35°

∴ The angles N and M are supplementary angles ⇒ property of the parallelogram

∴ ∠M + ∠KLM = 180°

∴ ∠KLM = 180° - ∠M = 180° - 35° = 145°

OR ∠KLM = ∠N = 145° ⇒⇒⇒  property of the parallelogram

∴ The measure of angle KLM = 145°

===================================

Part (4): Find  ∠K:

==============∵ KLMN is parallelogram , ∠N = 35°

∴ The angles N and M are supplementary angles ⇒ property of the parallelogram

∴ ∠K + ∠N = 180°

∴ ∠K = 180° - ∠N = 180° - 145° = 35°

OR ∠K = ∠M = 35° ⇒⇒⇒  property of the parallelogram

∴ The measure of angle K = 35°

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Answer:

Step-by-step explanation:

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6 0
3 years ago
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