Answer:
Step-by-step explanation:
we know that
If AB is parallel to CD
then
triangles ABE and EDC are similar
Remember that
If two triangles are similar
then
the ratio of their corresponding sides is equal and their corresponding angles are equal too
In this problem
substitute the values and solve for x
Find the length of AE
-----> substitute the value of x
a. 3 × 10^0
b. 33. 6 × 10^0
c. 57. 6 × 10^2
d. 4. 0 × 10^-7
e. 7. 0 × 10^-1
<h3>What is scientific notation?</h3>
Scientific notation is simply a way of expressing numbers that are too large or small to be written in decimal form.
It may be referred to as standard index form or scientific form.
From the information given, we have;
a. 0. 000003 is written in standard form as;
= 3 × 10^-6 × 3 × 10^6
= 3 × 10^-6 + 3
= 3 × 10^0
= 3
b. 56, 000, 000. 00 is written in standard form as;
= 5. 6 × 10^7 × 6 × 10^-7
= 33. 6 × 10^7 -7
= 33. 6 × 10^0
= 33. 6
c. 8. 0 × 10^-3 × 7. 2 × 10^5
= 57. 6 × 10^-3 + 5
= 57. 6 × 10^2
d. 4. 0 × 10^-3 × 4. 0 × 10^-4
= 4. 0 ^ -3 +(-4)
= 4. 0 × 10^-7
e. 7. 0 × 10^3 × 7. 0 × 10^4
= 7. 0 × 10^ 3-4
= 7. 0 × 10^-1
Thus, scientific notation is also referred to as standard form.
Learn more about scientific notation here:
brainly.com/question/27862246
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Answer:
Step-by-step explanation:
The incenter of a triangle can be defined as the intersection of three angle bisectors that bisect all angles of the triangle.
By definition, an angle bisector divides an angle into two equal smaller angles.
Therefore:
What we're given:
The sum of the interior angles of a triangle always add up to be 180 degrees. Since these six angles make up the total sum of the interior angles, we have the following equation:
Substituting given values:
Since ,
The area of a trapezoid is found using the formula, A = ½ (a + b) h, where 'a' and 'b' are the bases (parallel sides) and 'h' is the height (the perpendicular distance between the bases) of the trapezoid.
Answer:
x=2
Step-by-step explanation:
First use the distributive property on the right side... You should get then have 7x+30 = 2 + 6x + 30
Simplify further by combining like terms to get 7x + 30 = 32 + 6x
Now subtract 6x on both sides (6x - 6x cancels out) to get 1x + 30 = 32
Next subtract 30 from both sides(30-30 cancels out) to get 1x = 2
2 divided by 1 is 2 so x = 2