## 14.

∠A ≅ ∠T . . . . given

AX ≅ TX . . . . given

∠AXM ≅ ∠TXH . . . . vertical angles are congruent

ΔAXM ≅ ΔTXH . . . . ASA theorem

MX ≅ HX . . . . CPCTC

___

## 15.

The acronyms that invoke theorems based on two or three sides being congruent are inapplicable in this case.

SSS

SAS

## Related Questions

Factor 6(2p q)^2 -5(2p q) - 25

treat the 2p+q as x

6x2-5x-25
trial and error
(2x-5)(3x+5)
replace x with (2p+q)
(2(2p+q)-5)(3(2p+q)+5)
(4p+2q-5)(6p+3q+5)

A valid conclusion for the quadratic equation x2 - 6x + 8 = 0

(x-4)(x-2)

Step-by-step explanation:

A fruit company includes 1.655 ounces of pineapple juice in a 6.75 ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT pineapple juice?

5.095 ounces or, if you're looking for a percentage, then 75.48% (I don't know where you need it rounded to). To get the ounces, subtract the ounces of pineapple juice from the total ounces of fruit juice. To get the percentage, divide 5.095 by 6.75, then multiply by 100.

I think 1 is the right answer

Step-by-step explanation:

Help!!!

prove triangle PAB is an equilateral triangle

If three sides of a triangle are equal and the measure of all three angles is equal to 60 degrees then the triangle is an equilateral triangle.  Therefore it is an equilateral triangle.

In ∆PAM and ∆PBM

• Put AM =BM

• Put PA=PB

Hence

∆APB is a equilateral triangle

NEED HELP ASAP!!!!The steps below show the work of a student used to calculate the number of yards in 6,436 meters.

(1 mile = 1,609 meters)
(1 mile = 1,760 yards)

Step 1: 6,436 meters multiplied by conversion factor 1 mile over 1,609 meters equals 4 miles

Step 2: conversion factor of 1,760 yards over 1 mile divided by 4 miles equals 440 yards

Step 3: 440 yards
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)

How can the error in the student's work be corrected? (1 point)

a
The 6,436 meters and the 1,609 meters in Step 1 should be switched.
b
The 1 mile and the 1,609 meters in Step 1 should be switched.
c
The conversion factor should be multiplied in Step 2 instead of being divided.
d
The conversion factor should be added in Step 2 instead of being divided.