155 degrees because the sum of the angles in a quadrilateral is 360 degrees.
x + 120 + 37 + 48 = 360
x= 155
√(2x+4)=16 square both sides
2x+4=256 subtract 4 from both sides
2x=252 divide both sides by 2
x=126
<em>Congruent triangles</em> are two or more triangles with the same length of <u>sides</u> and measure of internal <u>angles</u>. Thus the <em>required</em> proof is as shown below:
From the given diagram, it can be <u>observed</u> that:
AB = AC (<em>similar</em> property of two lines)
AC = AE (<u>similar </u>property of two lines)
Also,
m<A is a <u>common</u> angle to ΔABC and ΔADE
So that it can be <em>concluded </em>that;
ΔABC ≅ ΔADE (Side-Angle-Side property)
Thus since ΔABC ≅ ΔADE are <u>congruent</u>, then;
BC = DE (<u>corresponding</u> sides of <em>congruent</em> triangles)
For further clarifications on congruent triangles, visit: brainly.com/question/1619927
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Answer:
The persons speed is 7 miles per hour.
Answer:
783
Step-by-step explanation:
We have to find the sum of Arithmetic series from t = 1 to t = 18 represented by (5t - 4)
The formula to find the sum of an Arithmetic series when first and the last term is known is:
Here,
n = Total number of terms = 18
= First Term = 5(1) - 4 = 1
= 18th Term = 5(18) - 4 = 86
Using the values in the above formula, we get:
Thus, the sum of 18 terms of the given Arithmetic Series is 783.
