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3 years ago

Please help and show workx=

Mathematics

1 answer:

GrogVix [38]3 years ago

8 0

Answer:

x = 7

Step-by-step explanation:

from the properties of an isosceles triangle, 5x+6 = y-9

98+2(5x+6) = 180

98+10x+12 = 180

110+10x = 180

10x = 70

x = 7

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Some day help me with this 2 question?

gregori [183]

Answer:

As x approaches 0, f(x)=2

Step-by-step explanation:

First plug in f(x) and f(0) into the limit.

$\lim_{x \to 0\0} 2x^2+1-(2(0^2)+1)/x^2\\\\$ , simplify things a bit

$\lim_{x \to \ 0} 2x^2/x^2$ , divide by x^2

$\lim_{x \to \ 0} 2/1=2$ , as x approaches 0, f(x)=2

6 0

4 years ago

Is my answer correct??

Studentka2010 [4]

Answer:

The correct answer is the first choice: Hinge Theorem.

Explanation:

The Hinge Theorem compares the lengths of two sides of two triangles, given that the other two pairs of sides are congruent and the included angles are different.

The theorem states that if two sides of a triangle are congruent to two sides of another triangle and the included angle of one triangle is greater than the included angle of the other triangle, then length of the third side of the first triangle is greater than the length of the third side of the second triangle.

The figures shows triangles UVT and STV

The angle UVT is greater than the angle STV.

The sides ST and VU are congruent, as the small vertical marks indicate.

The side TV is a common side of both triangles.

Then, you already have that two sides of the triangle STV are congruent to two sides of triangle UVT and the angle UVT is greater than the angle STV.

Hence, by the HInge Theorem the side TU is greater than side SV.

3 0

3 years ago

Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125

Savatey [412]

we have that

$300 + 150 + 75 +...$

Let

$a1=300\\ a2=150\\ a3=75$

we know that

$\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50$

$\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50$

$a(n+1)=an*0.50$

Is a geometric sequence

Find the value of $a4$

$a(4)=a3*0.50$

$a(4)=75*0.50$

$a(4)=37.5$

Find the value of $a5$

$a(5)=a4*0.50$

$a(5)=37.5*0.50$

$a(5)=18.75$

Find $S5$

$S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25$

therefore

the answer is

$581.25$

Alternative Method

Applying the formula

$S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25$

therefore

the answer is

$581.25$

6 0

3 years ago

Read 2 more answers

Can you guys help me please

Setler79 [48]

Answer: A And B

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the area of a triangle with vertices at (−4, 1) , (−7, 5) , and (0, 1) ?

Mekhanik [1.2K]

Plot the points on a graph. Connect the dots into a triangle. See that the height of the triangle is from y=5 down to y=1. So the height is 4 units.
Area of a triangle: A = (1/2)BH

You need to find the length of the base. Which is from point (-4,1) to (0,1). You can use the distance formula r just see from the graph that the base is 4 units.

A = (1/2)(4)(4)
A = 8

** Distance formula fyi
d² = (X-x)² + (Y-y)²
with points (X,Y) and (x,y)

3 0

3 years ago

Please help and show workx= ​

Please help and show workx=