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3 years ago

Solve for ? PLEASE HELP

Mathematics

2 answers:

schepotkina [342]3 years ago

6 0

Answer:

Step-by-step explanation:

Tangent Chord Angle = 1/2Intercepted Arc

? = 1/2(140)

? = 70

Gnesinka [82]3 years ago

3 0

Answer: if its asking for that angle its 70 cause thats the only one that would fit

Step-by-step explanation:

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Can someone help me with this please

Bingel [31]

Answer:

A.1: ∠BAC ≅ ∠BDC ≅ ∠EDF, ∠ACD ≅ ∠ABD ≅ ∠BDE ≅ ∠CDF

A.2: ∠1 ≅ ∠4, ∠2 ≅ ∠3 ≅ ∠5 ≅ ∠6

A.3: ∠2 ≅ ∠3

B.1: ∠ACD ≅ ∠CAB, ∠CDA ≅ ∠ABC, ∠DAC ≅ ∠BCA

B.2: ∠1 ≅ ∠3 ≅ ∠5, ∠2 ≅ ∠4 ≅ ∠6

see "additional comment" regarding listing pairs

Step-by-step explanation:

There are a number of ways angles can be identified as congruent. In each case, the converse of the proposition is also true.

opposite angles of a parallelogram are congruent
corresponding angles where a transversal crosses parallel lines are congruent
alternate interior angles where a transversal crosses parallel lines are congruent
vertical angles are congruent
any two angles with the same measure are congruent

In these exercises, pairs of angles need to be examined to see which of these relations may apply.

ABCD is a parallelogram, so the congruent angles are opposite angles and any that are vertical or corresponding:

∠BAC ≅ ∠BDC ≅ ∠EDF ≅ 110° (3 pairs)

∠ACD ≅ ∠ABD ≅ ∠BDE ≅ ∠CDF ≅ 70° (6 pairs)

<u>Center</u>

∠1 ≅ ∠4 ≅ 66° (1 pair) . . . . vertical angles

∠2 ≅ ∠3 ≅ ∠5 ≅ ∠6 ≅ 57° (6 pairs) . . . . marked with the same measure, and their vertical angles

<u>Right</u>

Assuming that lines appearing to go in the same direction actually do go in the same direction, the only pair of congruent angles in the figure is ...

∠2 ≅ ∠3

Corresponding angles in congruent triangles are congruent. Here, the congruent triangles are ΔACD ≅ ΔCAB. So, the pairs of congruent angles are ...

∠ACD ≅ ∠CAB (30°)

∠CDA ≅ ∠ABC (90°)

∠DAC ≅ ∠BCA (60°)

<u>Right</u>

The corresponding angles and any vertical angles are congruent. This means all the odd-numbered angles in the figure are congruent, and all the even-numbered angles in the figure are congruent. The marked 72° angles show the "horizontal" segments are parallel by the converse of the corresponding angles theorem.

∠1 ≅ ∠3 ≅ ∠5 (72°) (3 pairs)

∠2 ≅ ∠4 ≅ ∠6 (108°) (3 pairs)

_____

<em>Additional comment</em>

The question asks you to list pairs of congruent angles. When 3 things are congruent, they can be arranged in 3 pairs:

a ≅ b ≅ c ⇒ (a≅b), (a≅c), (b≅c)

Similarly, when 4 things are congruent, they can be arranged in 6 pairs:

a ≅ b ≅ c ≅ d ⇒ (a≅b), (a≅c), (a≅d), (b≅c), (b≅d), (c≅d)

In the above, we have elected not to list all of the pairs, but to list the set of congruences from which pairs can be chosen.

6 0

3 years ago

In a survey of 100 outpatients who reported at a hospital one day,it was found that 70 complained of fever, 50 had stomach troub

stealth61 [152]

I would like to think it'd be 56 patients, because by subtracting 100 from 44 the total is 56 patients, which seems reasonable.
I hope this helps!

7 0

3 years ago

Divide (3+2i)/(-4+5i). express answer in standard form

Levart [38]

$\dfrac{3+2i}{-4+5i}=\dfrac{(3+2i)(-4-5i)}{(-4+5i)(-4-5i)}=\dfrac{-12-15i-8i-10i^2}{(-4)^2-(5i)^2}\\\\=\dfrac{-12-23i+10}{16+25}=\dfrac{-2-23i}{41}=-\dfrac{2}{41}-\dfrac{23}{41}i$

8 0

3 years ago

A bridge is sketched in the coordinate plane as a parabola represented by the equation h=40-0.01x2, where h refers to the height

ElenaW [278]

Answer:

The length of the bridge is 126.492 feet.

Step-by-step explanation:

Let $h(x) = 40-0.01\cdot x^{2}$ , where $x$ is the position from the middle of the bridge, measured in feet, and $h(x)$ is the height of the bridge at a location of x feet, measured in feet. In this case, the length of the bridge is represented by the distance between the x-intercepts of the parabola, which we now find by factorization: