All categories

2 years ago

Which statements are correct? Check all that apply. One-halfQP = UT One-halfTS = RQ SU = PR SU Ă˘ÂÄ„ RP UT Ă˘Ĺ Ä„ RP.

Mathematics

2 answers:

irina1246 [14]2 years ago

8 0

Answer:

1 and 4

Step-by-step explanation:

Alik [6]2 years ago

6 0

Only option 1 and 4 are true.

Points S, U, and T are the midpoints of the sides of ΔPQR.

ΔSUT is inside of ΔPQR. Points S, U, and T are the midpoints of ΔPQR.

Which statements are correct? Check all that apply.

1. QP = UT

2. One-halfTS = RQ

3. SU = PR

4. SU ∥ RP

5. UT ⊥ RP

Given to us,

S, U, and T are the midpoints of the sides of ΔPQR.

Using Triangle Midpoint Theorem, which states that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.

Therefore, only option 1 and 4 are true.

To know more visit:

brainly.com/question/8943202

You might be interested in

7. Of 101 randomly selected adults

DanielleElmas [232]

Answer:

The 95% confidence interval for the true percentage of all adults over 30 who shop at that mall who admit to having lost their car at the mall is (25.37%, 43.93%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

Of 101 randomly selected adults over 30 who frequent a very large mall, 35 admitted to having lost their car at the mall.

This means that $n = 101, \pi = \frac{35}{101} = 0.3465$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a p-value of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3465 - 1.96\sqrt{\frac{0.3465*0.6535}{101}} = 0.2537$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3465 + 1.96\sqrt{\frac{0.3465*0.6535}{101}} = 0.4393$

As percentages:

0.2537*100% = 25.37%

0.4393*100% = 43.93%

The 95% confidence interval for the true percentage of all adults over 30 who shop at that mall who admit to having lost their car at the mall is (25.37%, 43.93%).

4 0

2 years ago

Please Help me, Ive Been Stuck On This Question For Ages. :C (Image in question) (And Questions As Well)

MArishka [77]

The answer is the third one.

6 0

3 years ago

the length of rectangle exceeds its breadth by 4 cm if the length and breadth is increased by 3 cm the area of the new rectangle

gizmo_the_mogwai [7]

Answer:

The length and breadth are 14 cm and 10 cm

3 0

3 years ago

Method for constructing the circle that inscribed a triangle

AleksAgata [21]

Answer:

Radius = incenter → peprpendicular to one side of the triangle

Step-by-step explanation:

Bisect one of the angles
Bisect another angle
Where those two lines cross is the center of the inscribed circle, called the incenter
Construct a perpendicular from the center point to one side of the triangle
Place compass on the center point, adjust its length to where the perpendicular crosses the triangle, and draw your inscribed circle!

4 0

3 years ago

A gardener is planting two types of trees:

ICE Princess25 [194]

Answer:

After 1 year, both the tress will be of the same height.

Step-by-step explanation:

Let us assume in x years, both trees have same height.

Type A is 7 feet tall and grows at a rate of 8 inches per year.

⇒The growth of tree A in x years = x times ( Height growth each year)

= 8 (x) = 8 x

⇒Actual height of tree A in x years = Initial Height + Growth in x years

= 7 + 8 x

or, the height of tree A after x years = 7 + 8x

Type B is 9 feet tall and grows at a rate of 6 inches per year.

⇒The growth of tree B in x years = x times ( Height growth each year)

= 6 (x) = 6 x

⇒Actual height of tree B in x years = Initial Height + Growth in x years

= 9 + 6 x

or, the height of tree B after x years = 9 + 6x

According to the question:

After x years, Height of tree A =Height of tree B

⇒7 + 8x = 9 + 6x

or, 8x - 6x = 9 - 7

or, 2 x = 2

or, x = 2/2 = 1 ⇒ x = 1

Hence, after 1 year, both the tress will be of the same height.

5 0

2 years ago