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3 years ago

In this diagram, two perpendicular lines and two rays intersect at point T. What is the measure, in degrees, of angle QTR?

Mathematics

2 answers:

Pani-rosa [81]3 years ago

8 0

Answer:

QTR = 24

Step-by-step explanation:

Crazy boy [7]3 years ago

3 0

QTR=32

Since lines are perpendicular the total sum is 90 for all three angles

90=42+2x+x
48=2x+x
48=3x
16=x

QTR=2x=2(16)=32

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Prove that the angle bisector of the angle opposite to the base of an isosceles triangle is also the altitude to the base

Alborosie

Given:
.. apex angle is divided into 2 equal parts
.. base angles are equal
.. side lengths are equal
1. The triangles are congruent by ASA
2. The angles where the bisector meets the base add to 180°. (They are linear angles formed by the bisector and the base.)
3. The angles where the bisector meets the base are congruent. (The are corresponding angles of congruent triangles.
4. The angles where the bisector meets the base are 90°. (Congruent angles that add to 180° must be 90°.)
5. The bisector is a line from the apex meets the base at a right angle, so is an altitude. (Definition of altitude.)

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3 years ago

A train travels at 75 miles per hour. What equation that compares the time (t) with the distance (d)?

NNADVOKAT [17]

Answer:

i think its t=75 lol i have this same question ill correct this if its wrong ;)

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

How to solve these two problems ？

puteri [66]

8) $\theta$ is -0.896 radians

9) length of arc is 41.91 cm

Solution:

Given that,

$tan\ \theta = \frac{-5}{4}$

$\theta$ is in quadrant 4

To find: $\theta$

From given,

$tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34$

Thus value of $\theta$ is -51.34 degrees

Convert degrees to radians

$-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian$

Thus $\theta$ is -0.896 radians

From given,

radius = 15.4 cm

$\theta = \frac{13 \pi }{15}$

<em><u>The length of arc when angle in radians is:</u></em>

$arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91$

Thus length of arc is 41.91 cm

4 0

3 years ago

Solve x to the power of 3 = 1 over 8

kiruha [24]

Answer: 1/2

Step-by-step explanation:

1/2 × 1/2 = 1/4

1/4 × 1/2 = 1/8

Fractions multiply on numerator and denominator

Then simplify

5 0

3 years ago

sam received $1120 interest from his 4 year investment at 3.5% p.a. simple interest. how much did sam invest?.

miv72 [106K]

Total is 1120
interest is 3.5
interest earn in 1 yr be p
so is p/ 100 × 3.5 ×4 = 1120
1120÷4= p/100x 3.5
280=p/100 x 3.5
280÷3.5= p/100
80=p/100
p= 8000

4 0

3 years ago

Read 2 more answers