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In-s [12.5K]
3 years ago
5

Given triangle ABC with altitude segment AD labeled x. Angles ADB and CDA are _____1._____ by the definition of altitudes, makin

g triangle ABD and triangle CDA right triangles. Using the trigonometric ratios sine of B equals x over c and sine of C equals x over b. Multiplying to isolate x in both equations gives x = _____2._____ and x = b ⋅ sinC. We also know that x = x by the reflexive property. By the substitution property, _____3._____. Dividing each side of the equation by bc gives: sine of B over b equals sine of C over c.
1. altitudes
2. b ⋅ sinB
3. b ⋅ sinB = c ⋅ sinC

1. right angles
2. b ⋅ sinB
3. b ⋅ sinB =c ⋅ sinB

1. altitudes
2. c ⋅ sinB
3. c ⋅ sinB = b ⋅ sinC

1. right angles
2. c ⋅ sinB
3. c ⋅ sinB = b ⋅ sinC
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
6 0

Answer:

Given triangle ABC with altitude segment BD labeled x. Angles ADB and CDB are right angles by _____1._____, making triangle ABD and triangle BCD right triangles. Using the trigonometric ratios sine of A equals x over c and sine of C equals x over a. Multiplying to isolate x in both equations gives x = _____2._____ and x = a ⋅ sinC. We also know that x = x by the reflexive property. By the substitution property, _____3._____. Dividing each side of the equation by ac gives: sine of A over a equals sine of C over c.

Step-by-step explanation:

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If the output number y is -52 (y=5x-2) what is the input number? SHOW WORK
nordsb [41]

Answer:

the input number is -10

Step-by-step explanation:

output is always y

input is always x

so instead of y, put -52

-52=5x-2  add 2 to each side to ger 5x by itself

-50=5x     divide both sides by 5 to get x by itself

-10=x

x is the input so the input is -10

8 0
2 years ago
a woman 1.65. tall stood 50m away from the foot of a tower,and observe that the angle of elevation of the top of the tower to be
ElenaW [278]

\sf\huge\underline{\star Solution:-}

\rightarrowLet the women's height be AE and distance between the women and tower be AC.

Also let the height of tower be BC.

\rightarrowNow, clearly it is forming a triangle.

So, in triangle ABC,

\rightarrow\sf{Tan50° \:= \: \frac{BC}{AC}}

\rightarrow\sf{1.19 \:= \: \frac{BC}{50}}

\rightarrow\sf{1.19 ×50\:= \: BC}

\rightarrow\sf{59.5m\:= \: BC}

\rightarrowHence, BC = 59.5m

So, BD(total height of the tower)\sf{ = \:BC+CD}

\sf{= \:59.5+1.65}

\sf{=\: 61.15m}

Therefore, total height of the tower =\sf\purple{ 61.15m.}

________________________________

Hope it helps you:)

5 0
2 years ago
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andre uses 3/4 teaspoon of oregano and 3/8 teaspoon of rosemary in a recipe. how much rosemary and oregano does he use in all
lapo4ka [179]

try math papa . com that should help you

5 0
3 years ago
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Please help me guys it is due today there is a second part i will do anything so ANSWER PLS!!! ASAP
Fantom [35]

Answer:

see below

Step-by-step explanation:

To find the combined length of Pine and Elm and the lengths together

Pine +Elm

We are estimating by rounding to the nearest whole number

Pine is 2.7 so it rounds to 3 because we look at the .7 and since .7 is greater than .5 it rounds the 2 to 3

Elm is 8.9  so it rounds to 9 because we look at the .9 and since .9 is greater than .5 it rounds the 8 to 9

2.7 + 8.9 rounds to 3+9 = 12

12 is reasonable because the actual answer is 2.7+8.9 = 11.6 which rounds to 12

5 0
3 years ago
"four times the difference of a number and 9 is -30"
lesantik [10]

Answer:

4 * (x-9)=-30

not sure if u want it solved but if u do its x=6/4

Step-by-step explanation:

8 0
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