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3 years ago

12

What is the answer to the q's

1 answer:

TEA [102]3 years ago

4 0

Answer:

1.TRUE

2.TRUE

3.FALSE

4.TRUE

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sveticcg [70]

Answer:

y = 100°

Step-by-step explanation:

x = 40° (vertical angles are congruent)

y is an exterior angel of a triangle that has two opposite internal angles, x (40°) and 60°.

According to the exterior angle of a triangle, thus:

y = 40 + 60

y = 100°

3 0

3 years ago

What is the distance between (10, 6) and (-2, -3)

Helga [31]

Answer:

15 units.

Step-by-step explanation:

The distance between the points (x1, y1) and (x2, y2) is

√(x1-y1)^2 + (y1-y2)^2))

So here it is:

√(10- -2)^2 + (6- -3)^2)

= √(144+81)

= √225

= 15.

4 0

3 years ago

In this exercise, T: R2 → R2 is a function. For each of the following parts, state why T is not linear. (a) T(a1, a2)= (1, a2) (

DENIUS [597]

Answer:

a) T is not homogeneous
b) T is not additive
c) T is not homogeneous
d) T is not additive
e) T is not additive

Step-by-step explanation:

In each case there is an example where one property of linear functions fails.

a) $T(2(1,0))=T((2,0))=(1,0); 2T((1,0))=2(1,0)=(2,0)$ . These vectors are not equal, then T doesn't satisfy the condition of scalar multiplication (homogeneity).

b) $T((1,2)+(2,3))=T(3,5)=(3,9); T((1,2))+T((2,3))=(1,1)+(2,4)=(3,5)$ . Because these vectors are not equal, T doesn't satisfy the property of vector addition (additivity).

c) $T(\frac{1}{2}(\pi,0))=T((\frac{\pi}{2},0))=(\sin(\frac{\pi}{2}),0)=(1,0); \frac{1}{2}T((\pi,0))=\frac{1}{2}(0,0)=(0,0)$ so T is not homogeneous.

d) $T((-1,0)+(1,0))=T(0,0)=(0,0); T((-1,0))+T((1,0))=(1,0)+(1,0)=(2,0)$ then T is not additive.

e) $T((0,0)+(1,0))=T(1,0)=(2,0); T((0,0))+T((1,0))=(1,0)+(2,0)=(3,0)$ then T is not additive.

8 0

3 years ago

Liz wants to buy her favorite musical group’s new CD. The CD costs $15.24, including tax. Liz gives the store clerk a twenty-dol

Mila [183]

$20.00 - $15.24 = $4.76 in change. I'd say review decimal subtraction which you should have learned in fourth or fifth grade. Hope this helps!

3 0

3 years ago

the sum of the recipocal of two consecutive even number is 7/24.one number is 6.the other number will be

coldgirl [10]

Answer:

8

Step-by-step explanation:

The numbers are 6 and 2x, then:

1/6 + 1/(2x) = 7/24
1/3 + 1/x = 7/12
(x+3)/(3x) = 7/12
12(x+3) = 7*3x
12x + 36 = 21x
21x - 12x = 36
9x = 36
x = 4

The other number is 2*4 = 8

6 0

3 years ago