1) 15
2) 2
3) 10
The images show how to solve it, but if you want a more in depth explanation, please tell me~
2) 2
3) 10
The images show how to solve it, but if you want a more in depth explanation, please tell me~
If sales terms, customer creditworthiness, and accounting methods remain constant, the percentage change in sales and the percen
1 answer:
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Answer:
35.
So that we have:
KLN = 54 JKN =36
LKN = 72 NMJ = 18
KNM = 126 JLM = 72
LJM = 90 KLM = 126
36.
CE = 6√13
37.
m∠Z = 88°
38.
m∠GFE = 85
Step-by-step explanation:
35.
As KLMN is a kite:
+) KL = KN
=> Triangle KLN is an isosceles triangle.
=> m∠KLN = m∠ KNL = m∠KNJ = 54°
In triangle KLN, total measure of three internal angles are 180 degree, so that: m∠KLN + m∠ KNL + m∠ LKN = 180°
=> 54 + 54 + m∠ LKN = 180°
=> m∠ LKN = 180 - 54 - 54 = 72°
+) KM is the bisector of both Angle LKN and Angle LMN
So that we have:
- m∠JKN = 1/2 m∠LKN = 1/2 * 72 = 36°
- m∠NMJ = 1/2 m∠LMN = 1/2 * 36 = 18°
+) KM and LN is perpendicular to each other at point J
=> m∠LJM = 90°
+) m∠KLM = m∠KNM; m∠KLM + m∠KNM + m∠LKN + m∠LMN = 360°
=> m∠KLM + m∠KLM + 72 + 36 = 360
=> 2 m∠KLM = 360 - 72 - 36 = 252
=> m∠KLM = 252/2 = 126 = m∠KNM
+) We have: m∠KLM = m∠KLN + m∠JLM
=> m∠JLM = m∠KLM - m∠KLN = 126 - 54 = 72
36.
As BCDE is a kite, we have:
+) BC = BE; CD = DE = 21
+) BD is perpendicular to CE and intersect each other point F
=> Angle CFD = 90
=> Triangle CFD is the right triangle
According to Pythagoras theorem: CF^2 + DF^2 = CD^2
=> CF^2 = CD^2 - DF^2 = 21^2 - 18^2 = 441 - 324 = 117
=> CF =
+) According to the feature of a kite shape, F is midpoint of CE
=> CF = FE = 1/2 x CE
=>CE = 2 x CF = 2 x
So that CE = 6√13
37.
As given, WXYZ is a kite shape.
According to the feature of a kite shape, angle ZWX and angle ZYX are equal to each other.
=> ∠ZWX = ∠ZYX
=> 8x -23 = 6x +11
=> 8x - 6x = 11 + 23
=> 2x = 34
=> x = 34/2 = 17
=> ∠ZWX = 8x - 23 = 8*17 - 23 = 113°
=> ∠ZWX = ∠ZYX = 113°
As WXYZ is a kite shape, so that total measure of 4 internal angles of it are 360 degree
So that we have:
∠Z + ∠ZWX + ∠ZYX + ∠WXY = 360
=> ∠Z + 113 + 113 + 46 = 360
=> ∠Z = 360 -113 -113-46 = 88°
So that the measure of ∠Z is 88°
38.
As GDEF is a kite shape. As we can see, GE is the longer diagonal, so that it is the bisector of both Angle DGF and Angle DEF.
H is on GE and GE is the bisector of Angle DEF, so we have:
m∠HEF = m∠GEF = 1/2. m∠DEF = 1/2 . (12x- 16)= 6x - 8
As GDEF is a kite shape so that the two diagonals DF and GE are perpendicular to each other, so that: m∠EHF = 90
In the triangle EHF, m∠EHF = 90
=> EHF is a right triangle
=> m∠HEF + m∠EFH = 90
=> 6x - 8 + 3x -1 = 90
=> 9x = 90 + 8 + 1 = 99
=> x = 99/9 =11
=> m∠HEF = 6x - 8 = 6*11 - 8 = 58 = m∠GEF
GE is the bisector of both Angle DGF
=> m∠EGF = 1/2. m∠DGF = 1/2 . 74 = 37
In the triangle GEF, total measure of three internal angles are 180
=> m∠GFE + m∠EGF + m∠GEF = 180
=> m∠GFE + 37 + 58 = 180
=> m∠GFE = 85
The simplest form of the given expression is 5x^3-5x^2.
We have given that
We have to determine the simplest form of the given expression.
<h3>What is the distributive property?</h3>
The distributive property of binary operations generalizes the distributive law, which asserts that equality is always true in algebra. elementary.
Use the distributive property we get,
Add like terms we get,
Therefore we get,
Therefore the simplest form of the given expression is 5x^3-5x^2.
To learn more about the expression visit:
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Answer:
Step-by-step explanation:
This might be easier to do in decimals. Let's try it.
3/5 = 0.6
1/10 = 0.1
rate = holes / hours
rate = 0.6/0.1
rate = 6 holes per hour
Try it with fractions.
rate = Invert and multiply the 1/10
rate = = 30/5 = 6
It's the same answer. Pick the method that you feel most comfortable with.