Answer:
Step-by-step explanation:
Given
Required
Find x if
The above implies that:
Collect like terms
Using quadratic formula, we have;
Where
Split
<em></em><em> --- approximated</em>
Answer:
x=45
Step-by-step explanation:
An entire triangle is 180 degrees and you already know that one angle is 90 degrees. 180 - 90 is 90. Now you have the equation 2x=90.
You then divide each side by 2 to get the x by itself which leaves you with x=45.
Answer:
15.21
Step-by-step explanation:
hope that helps
<em>Similar triangles</em> are set of <em>triangles </em>that have <u>congruent</u> properties. Thus, the required <u>statement</u> that is true is: Option A. <A ≅ <F.
A <u>triangle</u> is an example of a plane figure which is bounded by <u>three </u>sides, thus it has <u>three</u> <em>internal</em> angles. For all <u>triangles</u>, the sum of its <em>internal angles</em> is . When the <u>properties</u> of two or more <u>triangles</u> are the same, then they are said to be <em>similar</em>.
<em>Similar triangles</em> are set of<u> triangles </u>that have congruent properties. The <em>similarity </em>may be with respect to their <u>sides</u>, or/ and <u>angles</u>.
Considering the given question,
ΔABC ≅ ΔFDE (given)
This implies that the two <u>triangles</u> have approximately equal <u>lengths</u> of <u>sides</u>, and <u>measure</u> of their corresponding <em>internal angles</em>.
Thus, the statement that would be true given the condition is option A. <A ≅ <F
For more clarifications on the properties of congruent triangles, visit: brainly.com/question/26129388
#SPJ 1
Answer:
43/13, 129/26, 129/13, 645/26
Step-by-step explanation:
Let w represent the number of red tiles, x represent the number of blue tiles, y represent the number of green tiles and z represent the number of yellow tiles. Hence:
w + x + y + z = 43 (1)
x = 3/5(w + x)
2x/5 = 3w/5
x = 3/2(w)
x = 5w/2 - w = 3w/2 (2)
y = 2/3(x + y)
y/3 = 2x/3
y = 2x = 2(3w/2) = 3w (3)
z = 5/7(y + z)
2/7(z) = 5y/7
z = 5y/2 = 5(3w)/2 = 15w/2 (4)
substitute x = 3w/2, y = 3w and z = 15w/2 in equation 1:
w + 3w/2 + 3w + 15w/2 = 43
13w = 43
w = 43/13
x = 129/26
y = 3w = 129/13
z = 645/26