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alexandr402 [8]
2 years ago
6

In construction, the precision used to build a structure directly influences the strength of the structure. In the Rocky Mountai

ns, many houses’ roofs are built using trusses, which are strong enough to support the heavy load from snow, but light enough to build in a stockyard and transport to the construction site. Chris works in the stockyard. He has been told he needs to build a series of trusses for a new house using the pattern below. He has also been told the pattern may be inaccurate—so he needs to check and make sure Describe the angles you would need to know to verify that BC¯, DE¯, and FG¯ are all parallel to each other, and CD¯, EF¯, and GH¯ are also parallel.
What could be an appropriate measure for ∠CDE? Be prepared to explain your choice for that angle. Use that measure to find all other angles involved.

Mathematics
1 answer:
Cloud [144]2 years ago
3 0

An appropriate measure for ∠CDE would be

∠CDE = ∠ADE - ∠ADC

<h3>How to check for the appropriate measure of CDE.</h3>

we have the following angles as parallel BC¯, DE¯, and FG¯ also  CD¯, EF¯, and GH¯.

The angles that we have to check in order to measure would be

∠ABC, ∠AEG, ∠ADC, ∠AHG, ∠ADE, ∠AFE, ∠AHG.

Read more on angles and triangles here:

brainly.com/question/25215131

#SPJ1

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Write the equation for a parabola that has a vertex (2, -1) and a directrix of x = 5.
Alika [10]

The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

Step-by-step explanation:

Let us revise the equation of a parabola

1. The form of the equation is (y − k)² = 4p(x − h)

2. The coordinates of its vertex are (h , k)

3. The equation of its axis of symmetry is y = k

4. The coordinates of the focus are (h + p , k)

5. The directrix is at x = h − p

∵ The coordinates of the vertex of the parabola are (2 , -1)

∵ The coordinates of its vertex are (h , k)

∴ h = 2 and k = -1

∵ The directrix is at x = 5

∵ The directrix is at x = h − p

∴ h - p = 5

∵ h = 2

∴ 2 - p = 5

- Subtract 2 from both sides

∴ - p = 3

- Multiply both sides by -1

∴ p = -3

∵ The form of the equation is (y − k)² = 4p(x − h)

∴ (y - -1)² = 4(-3)(x - 2)

∴ (y + 1)² = -12(x - 2)

The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

Learn more:

You can learn more about equation of a parabola in brainly.com/question/8054589

#Learnwithbrainly

3 0
3 years ago
Read 2 more answers
Y= 4x +3, 4x + y =3 are they parallel or perpendicular
FrozenT [24]

Answer:

they are perpendicular  

Step-by-step explanation:

because the slope are opposite which means the lines intersect.

5 0
3 years ago
Read 2 more answers
Someone please help me
Lesechka [4]

If these 2 triangles are similar to each other, the corresponding sides have to exist in proportion to one another. The angles would be exactly the same (side length doesn't matter at all!). Going from the bigger triangle to the smaller, KL corresponds to RS; LJ corresponds to SQ; JK corresponds to QR. The ratio of KL:RS is 5:1; the ratio of LJ:SQ is 5:1; the ratiio of JK:QR is 5:1. That means that the sides are all proportionate and the triangles are similar by the SSS postulate. Now that we know that the triangles are similar, we can say that all the corresponding angles are the same by CPCTC but we had to determinte side similiarity first. Your answer is the second choice, SSS

8 0
3 years ago
What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?
Maksim231197 [3]
Hello,
 the first step should be to distribue:
-4(3-5x)= -12+20x

Teh resolution may be:

-4(3-5x)>=-6x+9
==>-12+20x>=-6x+9
==>20x+6x>=9+12
==>26x>21
==>x>=21/26

But an other way may be used:

-4(3-5x)>=-6x+9
==>3-5x<= -6x/(-4)+9/(-4)
==>-5x-3/2 x<=-9/4 -3

==>-13/2 x <=-21/4

==>x>= -21/4 *(-2/13)
==>x>=21/(2*13)
==>x>=21/26

5 0
3 years ago
Read 2 more answers
To which subset does the following number belong? √7
marishachu [46]
Irrational numbers. √7 is an irrational number.
4 0
3 years ago
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