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4 years ago

15

Triangle XYZ slides 2 units left and 1 unit down on the coordinate plane. If the original measure of angle X was 40 degrees, wha

t is the measure of angle X'? 30 degrees 40 degrees 60 degrees 140 degrees

2 answers:

Aleksandr-060686 [28]4 years ago

6 0

Answer:40 degrees

Step-by-step explanation:

sergij07 [2.7K]4 years ago

3 0

40, transitions don't effect the angles of the shapes vertexes.

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(a) Write down the gradient of the line with equation y = 7 - 4x The line L passes through the points with coordinates (- 3, 1)

lesya [120]

Note: Let us consider, we need to find the gradient of line L.

Given:

The given equation of a line is:

$y=7-4x$

The line L passes through the points with coordinates (- 3, 1) and (2, - 2).

To find:

The gradient of the given line and the gradient of line L.

Solution:

Slope intercept form of a line is:

$y=mx+b$ ...(i)

We have,

$y=7-4x$ ...(ii)

On comparing (i) and (ii), we get

$m=-4$

Therefore, the gradient of the given line is -4.

The line L passes through the points with coordinates (- 3, 1) and (2, - 2). So, the gradient of line L is:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{-2-1}{2-(-3)}$

$m=\dfrac{-3}{2+3}$

$m=\dfrac{-3}{5}$

Therefore, the gradient of the line L is $\dfrac{-3}{5}$ .

6 0

3 years ago

State if the triangles in each pair are similar. If so, state how they are similar and complete the similarity statement.

cluponka [151]

Answer:

Δs DEF and DRQ not similar ⇒ 2nd answer

Step-by-step explanation:

Let us revise the cases of similarity

AAA similarity : two triangles are similar if all three angles in the first triangle equal the corresponding angle in the second triangle
AA similarity : If two angles of one triangle are equal to the corresponding angles of the other triangle, then the two triangles are similar
SSS similarity : If the corresponding sides of the two triangles are proportional, then the two triangles are similar
SAS similarity : In two triangles, if two sets of corresponding sides are proportional and the included angles are equal then the two triangles are similar.

In triangles DEF and DRQ

∵ m∠EDF = m∠REQ ⇒ vertical opposite angles

∵ m∠E ≠ m∠R

∵ m∠F ≠ m∠Q

<em>Only one angle in the 1st triangle is equal to one angle in the other triangle, no other angles are equal, similarity needs at least two angles in one triangle equal to two angles in the other triangle </em>

∴ The two triangle are NOT similar by any case of similarity

∴ Δs DEF and DRQ not similar

6 0

3 years ago

the diameter of q small gear is 16 cm. This is 2.5 cm more than 0.25 of the diameter of a larger gear. What is the diameter of t

Kitty [74]

If x is <span>the diameter of a larger gear, then 0.25x+2.5=16
0.25x=16-2.5
0.25x=13.5
x=54
Answer: </span><span>the diameter of a larger gear is 54 cm</span>

5 0

3 years ago

What is 80000000000000 time 500

xz_007 [3.2K]

Answer:

4 × 10^16

Step-by-step explanation:

4 0

3 years ago

Armando has $25 to spend. he wants to buy 2 pounds of hamburgers at $3 per pound, a bag of buns for $2, and 5 bags of chips for

rusak2 [61]

Answer:

True- She needs $3 more. She will not have enough money to buy everything. The cost is $28.

False- She has $3 left over.

Step-by-step explanation:

2 pounds of burgers for $3 each is $6

1 bag o bun equals $2

5 bags of chips for $4 each is $20

$20 + $6 +$2 = $28

She only had $25 to spent, so she doesn't have enough money and needs to 3 more dollars.

7 0

4 years ago