PLEASE HELP WILL GIVE BRAINLIEST

The triangles are similar, based on the Side-Angle-Side Theorem (SAS).

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

By definition, since two triangles are similar if the lengths of the corresponding sides are in proportion and their corresponding angles are congruent.

In this case, we can identify that you know two pairs of corresponding sides. Then, we can find in they are in proportion.

Set up that:

In triangle IJK  and LMN

Angle JIK = Angle MLN = 61 degree

Notice that they are in proportion.

LN /  ML= IK /JI

100 / 20 = 85/ 17 = 5

we can also identify that the corresponding angles L and I are congruent because they have equal measure.

Therefore, since we know that two sides are proportionate and the included angles are congruent, we can conclude that the triangles are similar, based on the Side-Angle-Side Theorem (SAS).

Learn more about congruent triangles;

https://brainly.com/question/12413243

#SPJ2

Answer:

16

Step-by-step explanation:

352/22 = 16

16*22 = 352

Answer:

Speed of the slower truck = 57.5 miles/hour

Speed of the faster truck = 62.5 miles/hour

Step-by-step explanation:

Using missing information;

Assume;

Speed of the slower truck = a

Speed of the faster truck = a + 5

Distance traveled by the slower truck = d

Distance traveled by the faster truck = 600 - d

So,

a(5) = d ........ Eq1

(a+5)(5) = 600 - d

5a + 25 = 600 - d

So,

5a + 25 = 600 - 5a

10a = 575

a = 57.5

Speed of the slower truck = 57.5 miles/hour

Speed of the faster truck = a + 5

Speed of the faster truck = 57.5 + 5

Speed of the faster truck = 62.5 miles/hour

Answer:

-4/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-9 - (-1) / 0 - (-6)

-4/3

Answer:

(7, 4)

Step-by-step explanation:

Using the formula for calculating the midpoint expressed as;

M(X,Y) = {(ax1+bx2)/a+b, ay1+by2/a+b}

X = (ax1+bx2)/a+b

Y = ay1+by2/a+b

Substitute the given coordinate

X = 2(4)+3(9)/2+3

X = 8 + 27/5

X = 35/5

X = 7

Y = 2(-2)+3(8)/2+3

Y = -4+24/5

Y = 20/5

Y = 4

Hence the required coordinates will be at (7, 4)

Given:

For every 45 pieces of blue yarn, Colleen uses 18 pieces of red yard.

To find:

The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf.

Solution:

We have,

Blue yarn = 45 pieces

Red yarn = 18 pieces

It is given that there is a proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf. So,

[tex]\dfrac{r}{b}=\dfrac{18}{45}[/tex]

[tex]\dfrac{r}{b}=\dfrac{2}{5}[/tex]

[tex]r=\dfrac{2}{5}b[/tex]

Therefore, the required equation is [tex]r=\dfrac{2}{5}b[/tex].

Answer:

120 miles

Step-by-step explanation:

120minutes= 2hour

2×60÷1=120 (miles)

Answer:

slope = y2 -y1/x2 -x1

= -9 - 6/-1 - (-9)

= -15/8

= -1.875

Answer:

180 - 36? I dont exactly remember how to do this

Step-by-step explanation:

Sorry if its not right

Answer:

I think the answer is 11x

Answer:

11x

Step-by-step explanation:

Pink area  = 6x

Green area  = 5x

Total (sum) = 6x+5x =11x

Answer:

The cost of one pound of hamburger is $3.20.

Step-by-step explanation:

A)

11.20 ÷ 3.5

$3.20 per lb

B)

Write a proportion:

Variable x = cost per 1 lb

3.5/11.20 = 1/x

Cross multiply:

3.5 × x = 11.20 × 1

3.5x = 11.20

x = 3.2

$3.20 per lb

Answer:

[tex]\text{(C) }110^{\circ}[/tex]

Step-by-step explanation:

The angle marked [tex]110^{\circ}[/tex] and the angle marked by [tex]x[/tex] are vertical angles (on opposite sides of the intersection of two lines). All vertical angles are equal, therefore [tex]x=\boxed{\text{(C) }110^{\circ}}[/tex].

Answer:

The answer is w=lhv

solution

v=lwh

v\w=lh

w=lhv

Answer:

the answer is 4.00 Yw for the help

Answer:

m = 70°

Step-by-step explanation:

∠IHA + ∠AHG = 180   {Linear pair}

∠IHA + 120   = 180

           ∠IHA = 180 - 120 = 60

In ΔABH ,

∠A + ∠AIH + ∠AHI = 180         {Angle sum property of triangle}

50 + ∠AIH + 60 = 180

       ∠AIH  + 110 = 180

              ∠AIH    = 180 - 110

∠AIH  = 70°

BG // CK and AD  is transversal,

m = ∠AIH                {Alternate interior angles}

m = 70°

Answer:

Step-by-step explanation:11/5 x 3 =6.6 4/5 x 1 =0.8

Answer:

3+p/q

Step-by-step explanation:

Answer:

I believe it is A

Step-by-step explanation:

I dont quite remember the formula, but I belive that 30 would be correct because if im remembering correctly the formulas are "a + b = c" and "c - (a/b) = (a/b)

a/b = a or b, depending what they give you

Answer:

45°

Step-by-step explanation:

This is a isosceles triangle and also a right triangle, so it means it have an 90° ingernal angle and the other two internal angles have the same value. Remember that the sum of the internal angles of a triangle is always 180°, so:

180° -90° = 90°

90°/2 = 45°

Answer:

-4.

Step-by-step explanation:

Let x be the multiplicative inverse, then:

-1/4 * x = 1

x = 1 / (-1/4)

= 1 * -4

= -4.

Answer:

-4

Step-by-step explanation:

Answer:

The integers could be 21 and 22

or -22 and -21

Step-by-step explanation:

If two integers are consecutive, then it means that their difference is just 1

if we have the initial value as x , then the other value could be x-1 or x + 1

let us go with x-1

So the product here is;

x(x-1) = 462

x^2-x = 462

x^2 -x -462 = 0

x^2 -22x + 21x - 462 = 0

x(x-22) + 21(x-22) = 0

(x + 21)(x-22) = 0

x = -21 or x = 22

If x = -21

x -1 = -21-1 = -22

if x = 22

x -1 = 22-1 = 21

Answer:

1)80m³

2)240in³

3)144 cm³

Answer:

1) false

2)false

3)false

Step-by-step explanation:

it was done by a calculator so

Answer:

A. [tex]12y[/tex]

Step-by-step explanation:

Subtract like normal 28 - 16 = 12

so then it's 12y

Answer:

4.5 units

Step-by-step explanation:

PQ transferred to WX, and QR to XY.

PQ = 4, WX = 6, so the scaling factor x applies so that we create 6 or of 4 :

4 × x = 6

x = 6/4 = 3/2

the save scaling factor applies now to all other sides too due to the fact that the same transformation was done to the whole shape.

=> QR × 3/2 = XY.

3 × 3/2 = 9/2 = 4.5 = XY

Answer:

43º

Step-by-step explanation:

full circle is 360

b = 360 - 209 - 108

b = 43

Point F=(3;2) I think so