Round 74952 to the nearest 100

Please help me ASAP

elena-14-01-66 [18.8K]

Answer:

∠ 1 = 123°

Step-by-step explanation:

One way

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 1 is an external angle of the triangle, thus

∠ 1 = 90° + 33° = 123°

Second way

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180 for third angle in Δ

third angle = 180° - (90 + 33)° = 180° - 123° = 57°

The third angle and ∠ 1 form a straight angle and are supplementary, thus

∠ 1 = 180° - 57° = 123°

7 0

4 years ago

Which of these sentences is always true with a parallelogram?

Alex777 [14]

Answer:

Opposite angles are congruent

Step-by-step explanation:

The parallelogram has parallel opposite sides and also the opposite sides are congruent. Few other properties of parallelogram are -

It has two pairs of parallel opposite sides.

Its diagonals bisect each other.

It has two pairs of equal opposite angles.

It has two pairs of equal and parallel opposite sides.

So, the answer is D.) opposite angles are congruent.

7 0

3 years ago

Read 2 more answers

(EASY) WILL MARK BRAINEST! Question: Write an equation in slope intercept form of the line that passes through the given point a

Zielflug [23.3K]

Answer:

y = -4x - 38

Step-by-step explanation:

Parallel lines are parallel because they never intersect. As such, they have the same slope. The slope of the line y = -4x + 1 is -4. Substitute m = -4 and the point (-9,-2) into the point slope form of a line.

$y -y_1 = m(x-x_1)\\y --2 = -4(x --9)\\y + 2 = -4(x+9)\\$

Apply the distributive property to find the slope intercept form.

y + 2 = -4(x+9)

y + 2 = -4x - 36

y = -4x - 38

4 0

3 years ago

Trapezoid ABCD is translated 5 units left and 4 units down to create trapezoid

serg [7]

Answer:

The transformation is 5 units left and 4 units down

<u>It is described as the rule:</u>

(x,y) → (x -5, y - 4)

or

T(-5,-4)

3 0

3 years ago

What is the distance between B to A<br> Please add the method.<br> The angle is 61 (a bit blurry)

deff fn [24]

Answer:

24.03 units (nearest hundredth)

Step-by-step explanation:

The distance between B and A is: AB = AH + HB

We have been given AH, so we just need to find the measure of HB.

First, find the angle AOH using tan trig ratio:

$\sf \tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle

Given:

$\theta$ = ∠AOH
O = AH = 8
A = OH = 19.80

$\implies \sf \tan(\angle AOH)=\dfrac{8}{19.8}$

$\implies \sf \angle AOH = 22.00069835^{\circ}$

∠BOA = ∠BOH + ∠AOH

⇒ ∠BOH = ∠BOA - ∠AOH

⇒ ∠BOH = 61° - 22.00069835°

= 38.99930165°

Now we can find HB by again using the tan trig ratio:

Given:

$\theta$ = ∠BOH = 38.99930165°
O = HB
A = OH = 19.80

Substituting given values:

$\implies \sf \tan(38.99930165^{\circ})=\dfrac{HB}{19.80}$

$\implies \sf HB=19.80 \tan(38.99930165^{\circ})$

$\implies \sf HB=16.03332427$

Therefore:

AB = AH + BH

⇒ AB = 8 + 16.03332427

= 24.03 units (nearest hundredth)

3 0

2 years ago

Read 2 more answers