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tekilochka [14]
3 years ago
5

I need to find the angle sum

Mathematics
1 answer:
balandron [24]3 years ago
8 0

Answer:

x = 76°

z = 14°

y = 42°

Step-by-step explanation:

48 + 2x = 180° because these three makes a straight line

2x = 180 - 48

2x = 132

x = 76°

x + z = 90° because these two angles are complementary angles since we know the value of x

76 + z = 90°

z = 90 - 76

z = 14°

48° + y = 90° because these two angles are complementary angles

y = 90 - 48

y = 42°

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Do all perpendicular lines have negative reciprocal slopes?
inna [77]

Not necessarily, the more correct definition is opposite reciprocal slopes.

The example used is how horizontal and vertical lines are parallel. Horizontal lines have a slope of 0, also written as 0/1. However, vertical lines have an undefined slope, which isn't necessarily negative. It has a slope of 1/0, which is undefined. In this case, the reciprocal isn't negative.

In all other cases (1 and -1, 2 and -1/2, etc.) yes, the perpendicular pairs are negative and reciprocal.

6 0
2 years ago
I wanna know: [3,5]={3,4,5}? Why?
Agata [3.3K]

Answer:

Yes if [3,5] is a set of integers then it contains elements 3,4,5

As Closed bracket denotes that extreme points are also included and 4 is mid element in between 3 and 5

6 0
3 years ago
How many intersecting planes are there in a cube?
GarryVolchara [31]

Answer: a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

Step-by-step explanation:

6 0
3 years ago
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Which construction could be used to construct an isosceles triangle ABC given line
Free_Kalibri [48]

Answer:

In the given two column proof two sides and included angles are equal.

Triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles .In the figure sides BD≅BD , AB≅ BC and <ABD ≅,BDD Therefore triangle ABD and triangle CBD are congruent by SAS property of congruence.

4 0
2 years ago
If AB=BC,AB=4=4x-2,andBC=3x+3,fine the length of AB
laila [671]

Answer:

18

Step-by-step explanation:

First, I'm assuming AB=4=4x-2 was a typo and it's supposed to be AB = 4x - 2

AB=BC

AB = 4x - 2 BC = 3x + 3

4x - 2 = 3x + 3

Solve for x Add 2 to each side

4x - 2 = 3x + 3

4x - 2 + 2 = 3x + 3 + 2

4x = 3x + 5 Subtract 3x from each side.

4x - 3x = 3x- 3x + 5

4x - 3x = 5

x = 5

Now plug back in to the original equations

AB = 4x - 2                  BC = 3x + 3

AB = 4 (5) - 2               BC = 3(5) + 3

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AB = 18                        BC = 18

So AB is 18

3 0
3 years ago
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