All categories

3 years ago

Which two angles in the figure are obtuse angles?

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

4 0

Answer: C. ∠SQP and ∠TQR

Step-by-step explanation:

Since, by the given diagram,

m∠TQR = m∠SQP (vertical angles)

And, m∠TQP < m∠TQR

By adding ∠TQR on both sides,

m∠TQP + m∠TQR < m∠TQR+m∠TQR

⇒m∠TQP + m∠TQR < 2 ∠TQR

⇒ 180° < 2 m∠TQR ( Because ∠TQP and ∠TQR are linear angles)

⇒ 90° < m∠TQR

Hence ∠TQR is a obtuse angle,

⇒ ∠SQP also is a obtuse angle.

You might be interested in

If f(x) = -x + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f +g)(x)?<br> -

Lyrx [107]

Answer:

This is so easy

Let me explain:

first lets find out (f+g)(x)=-x+3x+5+x^2+2x=

x^2+4x+5 this is the equation of a parabola because we have x^2

so only the first graph shows us a parabola

which remains the right one.

6 0

3 years ago

Area of a triangle with verticals of (-4,1),(-7,5),(0,1)

Lynna [10]

Answer:

$8 ft^2$

Step-by-step explanation:

I assume that the three points given are the vertices of the triangle. So the three points are:

A (-4,1)

B (-7,5)

C (0,1)

The area of a triangle is given by:

$A=\frac{1}{2}bh$

where b is the base and h is the height.

Here we can take as follows:

- We can take the base to be the side AC, so that its length is equal to the distance between the two points:

$AC=\sqrt{(0-(-4))^2+(1-1)^2}=4$

- The height of the triangle is therefore the perpendicular distance between AC and point B. This is equivalent the difference in the x-coordinate between any point on AC and B, so:

$h=(5-1)=4 ft$

Therefore, the area of the triangle is:

$A=\frac{1}{2}(4)(4)=8 ft^2$

7 0

3 years ago

PLEASE HELP, ANSWER BOTH OR CHOOSE ON TO ANSWER

katen-ka-za [31]

Answer:

d) angle 6 is alternate interior angle to angle 3

e) angle 2 is alternate exterior angle to angle 7

3 0

3 years ago

Please help me if u give me an answer could u also give me an explanation on why that’s the answer.

Setler79 [48]

So it’s A

in all the other ones we can see that the angles in the same position as x and 75 are all equal

and because the question tells us that they are all structured the same with p and f being parallel we can assume x is equal to what’s congruent to it

there is a rule that states this

cap congruent angle postulate i believe

which states that if two parallel lines are cut by a transversal, then corresponding angles are congruent

7 0

3 years ago

The radius of a basketball is 4.7 inches.what the volume of the basketball? Round to the nearest 10

asambeis [7]

The formula for the volume of a sphere is $V= \frac{4}{3} \pi r^3$ . Plugging in 4.7 for your radius, we get $V= \frac{4}{3} \pi 4.7^2= \frac{4}{3} \pi 22.09= \frac{88.36}{3} \pi$ , which is roughly 29.453π≈92.530.

4 0

3 years ago

Read 2 more answers