The answer to, Is the Triangle with side lengths of 10 in., 24 in., and 26 in, a right triangle is: Yes. For right triangles, the sum of the squares of the shorter sides is equal to the square of the longer side. Thus, this is a right triangle if 10^2+24^2=26^2. Expanding these squares, we have 100+576=676, which is true. Thus, the triangle is right.
It should be 17, 26, 35, 44, 53
The required angle m∠ADB of the nomadic tribal rug is 112°
Given, that in ΔAED and ΔBDC,
where, m∠AED = 34° and m∠EAD = 112°
To find m∠ADB
By using the angle sum property of a triangle, which states that the sum of interior angles of a triangle is 180°.
Therefore in ΔAED,
m∠AED + m∠EAD + m∠ADE = 180°
34° + 112° + m∠ADE = 180°
or, m∠ADE + 146° = 180°
or, m∠ADE = 34°
Similarly, m∠BDC = 34°
Now, by using the sum of linear pair of angles,
m∠ADE + m∠ADB + m∠BDC = 180°
34° + m∠ADB + 34° = 180°
m∠ADB + 68° = 180°
m∠ADB = 180°- 68°
m∠ADB = 112°
To learn more about linear pair of angles, visit: brainly.com/question/26555759?referrer=searchResults
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Answer:
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, 2) and (4, 4). Everything below and to the right of the line is shaded.
Step-by-step explanation:
The first step is writing in the general form of the first order equation
y = f(x) or y > f(x) or y < f(x)
And
f(x) = ax + b
In which a is the slope.
We have that:
x - 2y > -6
-2y > -6 - x
When multiplying by -1, the signal changes, from > to <
2y < x + 6
y < 0.5x + 3
The slope is positive, since 0.5 is positive.
Since it is y lesser than, it is everything below and to the right of f(x) is painted.
The line is dashed because this is just lesser, not lesser or equal.
The correct answer is:
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, 2) and (4, 4). Everything below and to the right of the line is shaded.
Answer:
There is no evidence that the doors are too long and need to be trimmed (H₀ is accepted)
Step-by-step explanation:
The null hypothesis, 
Alternative hypothesis, 
Test statistic is calculated as follows:
Find the P-value
P(z > 1.27) = 1 - P(z < 1.27)
P(z > 1.27) = 1 - 0.898
P(z > 1.27) = 0.102
Significance level, α = 0.01
Since P - value(0.102) is greater than α (0.01), the null hypothesis will be accepted.
