In the diagram, m∠F = 60°.

Mathematics

2 answers:

natima [27]3 years ago

7 0

1. The Side Angle Side (SAS) similarity theorem states that:

If two sides of a triangle are proportional to 2 sides of another triangle, and the angles around each of these 2 pairs f sides are equal (congruent), then the triangles are similar.

2. That is, we notice the equivalent ratios:

$\frac{40}{20}= \frac{20}{10}$

so $\frac{EF}{FG}= \frac{HI}{IJ}$

then if m(I)=m(F)=60°, the triangles EFG and HIJ are similar, by SAS similarity theorem.

Lelechka [254]3 years ago

6 0

Answer:

ANGLE I MEASURE 60

Step-by-step explanation:

I JUST TOOK THE QUIZ!!!!!!!!!!!!

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Looks like the equation is

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Multiply both sides by the integrating factor $e^{9t}$ :

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$\left(e^{9t}y(t)\right)'=3e^{9t}\cos(3t)$

Integrate both sides, then solve for $y(t)$ :

$e^{9t}y(t)=\dfrac1{10}e^{9t}(\sin(3t)+3\cos(3t))+C$

$y(t)=\dfrac{\sin(3t)+3\cos(3t)}{10}+Ce^{-9t}$

The given answer choices all seem to be missing C, so I suspect you left out an initial condition. But we can find one; let $t=0$ , then the integral vanishes and we're left with $y(0)=0$ . So