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tia_tia [17]
4 years ago
5

Please help me !!!!!!!!!!!!

Mathematics
1 answer:
Law Incorporation [45]4 years ago
8 0
∠A+∠B=∠ACD
So, ∠A=93-31=62°
I think it mean that, right?
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a line with a slope of 3 passes through the point (2,5) write an equation for this line in point-slope form.​
Bingel [31]

Answer:

Point Slope: y - 5 = 3 (x-2)

Slope Intercept : y=3x-1

Step-by-step explanation:

1.) y - 5= 3(x-2)

2.) y - 5 = 3x-6

3.) y=3x-1

4 0
3 years ago
1. The sum of two numbers is 140 and their difference is 20. What are the two numbers?
zysi [14]

Answer:

Step-by-step explanation:

5 0
3 years ago
Zahara mixed 5 quarts of dry ingredients and 2 quarts of water to make a
krok68 [10]

Answer:

Zahara need to add 4 quarts of water to keep the  consistency the same

Step-by-step explanation:

Let

x -----> the amount of dry ingredients in quarts

y -----> the mount of water in quarts

we know that

Batch 1

\frac{x}{y}=\frac{5}{2}

Isolate variable y

y=\frac{2}{5}x ----> equation A

Batch 2

For x=10

substitute in the equation A and solve for y

y=\frac{2}{5}(10)=4

The ratio batch 2 is \frac{10}{4}

therefore

Zahara need to add 4 quarts of water to keep the  consistency the same

6 0
3 years ago
Please answer right away!!!
liraira [26]

Answer:

22.9m

Step-by-step explanation:

Using Pythagorean theorem, we can get two equations using the angles.

From Point A:

∠A = 20°

AB = 20m

From Point B:

∠B = 29°

BD = x

What we are looking for is the opposite side of each right triangle, each person makes because we have one adjacent side. We also know that both opposite sides will be equal.

So we use this formula for both point of views:

Tan\theta=\dfrac{Opposite}{adjacent}

Where:

Opposite = height of the building

Adjacent = distance from the building

We are looking for the opposite side so we can tweak our formula to get an equation for the height

height=(Tan\theta)(distance)

Using our given, we can solve for the distance of point B to D:

(Tan20)(20+x) = (Tan29)(x)\\\\(0.3640)(20+x) = (0.5543)(x)\\\\\dfrac{(7.28+0.3640x)}{0.5543}=x\\\\13.1337 + 0.6567x = x\\\\13.1337 = x - 0.6567x\\\\13.1337 = 0.3433x\\\\\dfrac{13.1337}{0.3433}=x\\\\38.2572 = x

The distance of point B to D is 38.2572 m.

Now that we know the distance of BD we can solve for the height of the building using only the given from point B.

height=(Tan\theta)(distance)

height=(Tan29)(38.2572m)

height=(0.5543)(38.2572m)

height=21.21m

But this is only the height from the line of sight. To get the height of the building from the ground, we just add the height of the viewer, which is 1.7m.

21.21m + 1.7m = 22.91m

The closest answer is: 22.91 m

8 0
4 years ago
Solve by factoring. a^2+2a-35=0
sammy [17]

 

\displaystyle\bf\\a^2+2a-35=0\\\\a^2\underbrace{-5a+5a}+2a-35=0\\\\a^2-5a+7a-35=0\\\\a(a-5)+7(a-5)=0\\\\(a-5)(a+7)=0\\\\\implies~~a-5=0~~or~~a + 7=0\\\\a-5=0~~\implies~~\boxed{\bf a_1=5}\\ \\a+7=0~~\implies~~\boxed{\bf a_2=-7}



4 0
3 years ago
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