The measure of ∠E = 87° and ∠F = 93°.
<h3>What is Parallelogram? What is triangle?</h3>
In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a parallelogram in which EFGH the measure of angle E is (2x+3) and the measure of angle F is (3x - 33).
We can write -
2(2x + 3) + 2(3x - 33) = 360°
4x + 6 + 6x - 66 = 360°
10x - 60 = 360
10x = 420
x = 42
∠E = 2 x 42 + 3 = 84 + 3 = 87°
∠F = 3 x 42 - 33 = 126 - 33 = 93°
Therefore, the measure of ∠E = 87° and ∠F = 93°.
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Answer:
Area of triangle RST = 95 in² (Approx)
Step-by-step explanation:
Given:
Side a = 22 in
Side b = 13 in
Perimeter = 50 in
Find:
Area of triangle
Computation:
Side c = Perimeter - Side a - Side b
Side c = 50 - 22 - 13
Side c = 15 in
Heron's formula:
s = Perimeter / 2 = 50 / 2
s = 25 in
Area of triangle = √s(s-a)(s-b)(s-c)
Area of triangle = √25(25-22)(25-12)(25-15)
Area of triangle = √25(3)(13)(10)
Area of triangle = 5√390
Area of triangle = 5 × 19(approx)
Area of triangle RST = 95 in² (Approx)
Answer:
109, Corresponding angles postulate
Step-by-step explanation:
Angle 2 and the angle that’s 71 degrees are supplementary.
Just subtract 180 - 71 = angle 2
For the second box…
Alternate exterior angles is wrong (means congruent)
Vertical angles is wrong (means congruent)
Same-side interior angles is wrong (angle that’s 71 degrees is clearly outside)
<u>Corresponding angles is RIGHT (Supplementary and the angle that’s 71 degrees is outside, and angle 2 is inside, so it’s corresponding.)</u>
Alternate interior angles is wrong (means congruent)
Question:
13 + b > 34
<em>Step 1: Keep variable on one side, and subtract 13 on both sides.</em>
b > 21
<em>Step 2: Now that you have the value of b, create a number line that includes the number "21"</em>
<em />
<em>Step 3: Since it is not "or equal too" we will use an open dot, since we do not contain that point. Put dot over 21. </em>
<em />
<em>Step 4: The sign is ( > ) meaning greater than. Therefore all points greater than 21 is </em><em>true</em><em>. See graph. </em>
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Answer: The correct answer is A
Step-by-step explanation:
If your multiplying fractions you take the first fraction 1/4 and the number 5, but you turn that into a fraction so now it's 5/1, and you multiply them together to get 5/4
1/4 x 5/1 = 5/4
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