All categories

3 years ago

Can you use the perpendicular bisector theorem to solve for RS? a)yes b)no

Mathematics

1 answer:

zloy xaker [14]3 years ago

7 0

Answer: YES! (Option A)

Reasoning:

• A bisector is a Geometric figure line or line segment that intersects a line or shape at the midpoint and divides it into 1/2 or a 1:1 ratio.

• Therefore, a perpendicular bisector is a bisector that intersects a Geometric figure at 90°.

• Because a bisector divides a figure into two equal parts, a perpendicular bisector splits a figure into two congruent parts with a 90° intersection.

• Therefore, with perpendicular bisector RT, segments UR and RS are congruent.

• So, segment UR = 17, which means that segment RS = 17 because the bisector splits it into two halves or congruent parts.

You might be interested in

Is this generalization true? All triangles have at least 2 acute angles

miv72 [106K]

Yes, all triangles have at least two acute angles. If there were two right angles, it would not be a closed figure. If there were two obtuse angles, there would be more than 180 degrees.

Hope this helps =)

7 0

4 years ago

Three students were lined up in a row. Lucas was to the left of Fatima, but not necessarily next to her. The student wearing the

kirill [66]

Answer:

Benjamin then student wearing black t-shirt then the student wearing white then who wear blue then lucas then fatima

Step-by-step explanation:

where fatima is the first one then the others beside her one by one

5 0

3 years ago

The coordinate of point T are (3,-11). The midpoint of line ST is (3,-9). Find the coordinates of point S

svetlana [45]

Answer:

(3,-7)

Step-by-step explanation:

Midpoint Formula

(3,-9) = ((3+x)/2 , (-11+x)/2)

Solve for x coordinate

$3 = \frac{3 + x}{2} \\ 6 = 3 + x \\ 3 = x$

Solve for y coordinate

$- 9 = \frac{ - 11 + x}{2} \\ - 18 = - 11 + x \\ - 7 = y$

Therefore point s is (3, -7)

5 0

3 years ago

Needing help, the secretary of the united states department of agriculture asked your teacher, "if a chicken-and-a-half can lay

Flura [38]

we are given that

3 chickens to lay 32 eggs

now, we can find number of eggs per chicken

number of eggs per chicken= (total eggs)/(total chicken)

so, we get

number of eggs per chicken is

$=\frac{32}{3}$

now, we can set up following

1.5 chicken : 1.5 eggs : 1.5 days

3 chickens : 3 eggs : 1.5 days

1 chicken : 1 egg : 1.5 days

Since, changing number of chicken won't affect time

time to lay eggs will always remain same

so,

for 1 chicken to lay $=\frac{32}{3}$ eggs

it takes

$=\frac{32}{3}*1.5 days$

$=16 days$ ..............Answer

8 0

3 years ago

A garden table and a bench cost $799 combined. the garden table costs $49 more than the bench. what is the cost of the bench?

lozanna [386]

799-49=750 Then you would divide that by 2 to get 375 So the answer is 375 dollar for the bench

8 0

3 years ago