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Snezhnost [94]
2 years ago
6

1. Name the vertex of angle 2.

Mathematics
1 answer:
Citrus2011 [14]2 years ago
4 0

Answer:

1) YTW

2) WT, TZ

3) UTZ

4) Right angle

  Acute angle

  Obtuse angle

  Right angle

5) TU

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If the lines px = 12 and 2x + qy = 10 intersects at (1 , 1), what is the value of p + q?
shusha [124]

Answer:

p + q = 20

Step-by-step explanation:

Given the lines intersect at (1, 1 ) then x = 1 and y = 1 make the equations true.

Consider

px = 12 with x = 1

p = 12

Consider

2x + qy with x = 1 and y = 1

2 + q = 10 ( subtract 2 from both sides )

q = 8

Hence p + q = 12 + 8 = 20

5 0
3 years ago
In the figure below, segment AC is congruent to segment AB.
sattari [20]

Answer:

Option B is correct.

Angle DAC is congruent to angle DAB

Step-by-step explanation:

Given: Segment AC is congruent to segment AB.

In  ΔABD and ΔACD

AB \cong AC    [Given]

[Congruent sides have the same length]

AB = AC         [Side]

AD = AD        [Common side]

\angle DAC =\angle DAB      [Angle]

Side Angle Side(SAS) Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Then by SAS,

\triangle ABD \cong \triangle ACD

By CPCT [Corresponding Parts of congruent Triangles are congruent]

then;

\angle ABD \cong \angle ACD

therefore, only statement which is used to prove that angle ABD is congruent to angle ACD is: Angle DAC is congruent to DAB

4 0
3 years ago
Read 2 more answers
JK has a midpoint at M(7, 2). Point J is at (7, 4). Find the coordinates of point K.
Svetllana [295]

The coordinates of point K(7, 0).

Given, JK has midpoint M(7, 2).

And, the coordinates of point J(7, 4).

We have to find the coordinates of point K.

As M is the midpoint, therefore by using the midpoint formula.

(xₙ + yₙ) = (x₁ + x₂/2 , y₁ + y₂/2)

Using x-coordinates,

xₙ = x₁ + x₂/2

7 = x₁ + 7/2

14 = x₁ + 7

or x₁ = 7

Nos using y-coordinates,

yₙ = y₁ + y₂/2

2 = y₁ + 4/2

4 = y₁ + 4

y₁ = 0

Therefore, the coordinates of point K(7, 0).

The coordinates of J(7, 4); K(7, 0); and M(7, 2).

To learn more about midpoints, visit: brainly.com/question/4637646

#SPJ9

4 0
1 year ago
The bakers at Healthy Bakery can make 270 bagels in 10 hours. How many bagels can they bake in 15 hours? What was the rate per h
Tcecarenko [31]

Answer:

405 bagels 27 an hour

Step-by-step explanation:

this is because when you divide 270 by 10 you get 27 which is how much per hour then multiply the # of bagels and the # of hours you get is 405. In other words you first want to know how many bagels it took to get to 270 bagels in 10 hours.Hope it helped.

7 0
2 years ago
2<br> 2<br> (2,2)<br> 4<br> 2<br> 2<br> 4<br> x<br> -2<br> (1,-2)What is the slope
GarryVolchara [31]

Answer:

21

Step-by-step explanation:

8 0
3 years ago
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