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Oksana_A [137]
3 years ago
11

Could I have some help please

Mathematics
1 answer:
solmaris [256]3 years ago
3 0
Since AB=AD, the triangle on the left is isosceles and has two 35 degree angles.  Since the sum of all the interior angles is 180 deg, 

x = 180 deg - 2(35 deg) = 110 deg (answer)
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what is the slope-intercept form for a line that has a slope of -4/5 and passes through points (0,7)?
drek231 [11]

\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{7})~\hspace{10em} slope = m\implies -\cfrac{4}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-7=-\cfrac{4}{5}(x-0) \\\\\\ y-7=-\cfrac{4}{5}x\implies y=-\cfrac{4}{5}x+7

4 0
2 years ago
A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet
gayaneshka [121]

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

h(x)=10+0.1(x^{1.5})

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}

s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx

s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx

s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx

Let 1+0.0225x=t

dx=\frac{1}{0.0225}dt

s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt

s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}

s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}

s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)

s=28.21

Weight of cable=28.21\times 10.4=293.38pound

8 0
3 years ago
A group of friends are hiking on trail Y when they reach an intersection with trial X. Trail X is perpendicular to train Y. If t
kati45 [8]
I believe the answer is C
3 0
3 years ago
Read 2 more answers
(FASTEST AND BEST ANSWER GETS BRAINLIEST)
Lorico [155]

Answer:

Step-by-step explanation:

5 0
2 years ago
Which undefined term is used to define an angle?<br><br>line<br>plane<br>point<br>ray
Dovator [93]
The answer is point.
3 0
3 years ago
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