Please help with geometry
Answers
Answer : 50 degree
To find angle 1 , we apply outside angle theorem . Refer to the diagram attached below.
Measurement of arc EF=140 degrees
Measurement of arc GH = 40
Angle D = angle 1
Theorem says
Now we plug in the values
angle 1 = 50
Measurement of angle 1 = 50 degrees
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120
36
Answers
Answer:
The number of different gardens a farmer can plant is:
720
Step-by-step explanation:
We are asked to find the different number of arrangements that can be done such that he gets one row each of six vegetables.
i.e. we can arrange 6 numbers in different ways.
This means that we have to use the method of permutation which is used to arrange a specific number of items.
We know that the arrangement of 6 elements is given as:
The value of this expression is given as:
Hence, the different gardens that a farmer can plant if he wants one row each of six vegetables is:
720
Answers
eight percent raise for each year = 1.08
salary after t years
equation :
Y(t) = $42,200 x (1.08)^t
× 0.08
$3,360
+42,000
= $45,360
Answer:
"Provide an example of a new theorem related to triangles and describe the steps as to how this theorem can be proven."
Answer:
"Explain how to prove one of the following properties of parallelograms: opposite sides are congruent, opposite angles are congruent, diagonals bisect each other"
Answer:
Answers
Answer: One possible way to answer your question is:
To connect the ideas of congruency and rigid motion, we can use the following definition: Two figures are congruent if and only if there exists one or more rigid motions that map one figure onto the other. Rigid motions are transformations that preserve the size and shape of a figure, such as reflections, rotations, and translations. Therefore, congruency means that two figures have the same size and shape, and can be superimposed by applying one or more rigid motions.
To prove congruency, we can use the following criteria: Two triangles are congruent if they satisfy one of the following conditions:
SSS (Side-Side-Side): All three pairs of corresponding sides are equal in length.
SAS (Side-Angle-Side): Two pairs of corresponding sides are equal in length, and the included angles are equal in measure.
ASA (Angle-Side-Angle): Two pairs of corresponding angles are equal in measure, and the included sides are equal in length.
AAS (Angle-Angle-Side): Two pairs of corresponding angles are equal in measure, and a pair of corresponding sides not included between the angles are equal in length.
HL (Hypotenuse-Leg): The hypotenuses and a pair of corresponding legs of two right triangles are equal in length.
To prove one of these conditions, we can use the properties of parallel lines, isosceles triangles, midpoints, bisectors, perpendiculars, etc. For example, to prove that opposite sides of a parallelogram are congruent, we can use the following steps:
Given a parallelogram ABCD, draw a diagonal AC.
By the alternate interior angles theorem, we have ∠BAC = ∠DCA and ∠BCA = ∠DAC.
By the reflexive property, we have AC = AC.
By the ASA criterion, we have ΔABC ≅ ΔCDA.
By the CPCTC4 (Corresponding Parts of Congruent Triangles are Congruent), we have AB = CD and BC = AD.
Therefore, opposite sides of a parallelogram are congruent.
8y 3(-3y 2)
Answers
-24y³⁺²
-24y⁵
-24y³⁺²
-24y⁵
Answers
to find the slope do
(y2-y1)/(x2-x1)
(x,y)
x1=-3/7
y1=-8/3
x2=-5/2
y2=-2
subsitute
simplify by finding similar denomenators
add
multiply top and bottom by
answer is
slope=
Answers
FICA (monthly) = ($2,478.15)(0.062)
= $153.636
Multiplying that amount by 12 (since there are 12 months in a year) is equal to $1843.632. Thus, $1843.632 was deducted from Eleanor's pay last 2010 for FICA.